# Benchmark Post-Test (8.11)

## Transcription

Benchmark Post-Test (8.11)

Holt Math TAKS Prep Workbook for Exit Exam AGA07_TAKS_WKBK11_i-iv i 4/13/06 7:36:36 PM Copyright © by Holt, Rinehart and Winston All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Teachers using HOLT MATH may photocopy complete pages in sufficient quantities for classroom use only and not for resale. HOLT and the “Owl Design” are trademarks licensed to Holt, Rinehart and Winston, registered in the United States of America and/or other jurisdictions. Printed in the United States of America If you have received these materials as examination copies free of charge, Holt, Rinehart and Winston retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited. Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format. ISBN 0-03-092711-0 1 2 3 4 5 AGA07_TAKS_WKBK11_i-iv ii 862 10 09 08 07 06 4/13/06 7:36:36 PM CONTENTS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Pre-Test TAKS Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_TAKS_WKBK11_i-iv iii Pre-Test TAKS Obj 6, (G.10)(A) . . . . . . . . . 41 Pre-Test TAKS Obj 7, (G.6)(B) . . . . . . . . . . 42 Pre-Test TAKS Obj 7, (G.6)(C) . . . . . . . . . . 43 Pre-Test TAKS Obj 7, (G.7)(A) . . . . . . . . . 44 Pre-Test TAKS Obj 7, (G.7)(B) . . . . . . . . . . 45 Pre-Test TAKS Obj 7, (G.7)(C) . . . . . . . . . 46 Pre-Test TAKS Obj 7, (G.9)(D) . . . . . . . . . 47 Pre-Test TAKS Obj 8, (G.8)(A) . . . . . . . . . 48 Pre-Test TAKS Obj 8, (G.8)(B) . . . . . . . . . 49 Pre-Test TAKS Obj 8, (G.8)(C) . . . . . . . . . 50 Pre-Test TAKS Obj 8, (G.8)(D) . . . . . . . . . . 51 Pre-Test TAKS Obj 8, (G.11)(A) . . . . . . . . . 52 Pre-Test TAKS Obj 8, (G.11)(B) . . . . . . . . . 53 Pre-Test TAKS Obj 8, (G.11)(C) . . . . . . . . 54 Pre-Test TAKS Obj 8, (G.11)(D) . . . . . . . . . 55 Pre-Test TAKS Obj 9, (8.3)(B) . . . . . . . . . . 56 Pre-Test TAKS Obj 9, (8.11)(A) . . . . . . . . . 57 Pre-Test TAKS Obj 9, (8.11)(B) . . . . . . . . . 58 Pre-Test TAKS Obj 9, (8.12)(A) . . . . . . . . . 59 Pre-Test TAKS Obj 9, (8.12)(C) . . . . . . . . . 60 Pre-Test TAKS Obj 9, (8.13)(B) . . . . . . . . . 61 Pre-Test TAKS Obj 10, (8.14)(A) . . . . . . . . 62 Pre-Test TAKS Obj 10, (8.14)(B) . . . . . . . . 63 Pre-Test TAKS Obj 10, (8.14)(C) . . . . . . . . 64 Pre-Test TAKS Obj 10, (8.15)(A) . . . . . . . . 65 Pre-Test TAKS Obj 10, (8.16)(A) . . . . . . . . 66 Pre-Test TAKS Obj 10, (8.16)(B) . . . . . . . . 67 Post-Test TAKS Obj 1, (A.1)(A) . . . . . . . . . 68 Post-Test TAKS Obj 1, (A.1)(B) . . . . . . . . . 69 Post-Test TAKS Obj 1, (A.1)(C) . . . . . . . . . 70 Post-Test TAKS Obj 1, (A.1)(D) . . . . . . . . . 71 Post-Test TAKS Obj 1, (A.1)(E) . . . . . . . . . 72 Post-Test TAKS Obj 2, (A.2)(A) . . . . . . . . . 73 Post-Test TAKS Obj 2, (A.2)(B) . . . . . . . . . 74 Post-Test TAKS Obj 2, (A.2)(C) . . . . . . . . . 75 Post-Test TAKS Obj 2, (A.2)(D) . . . . . . . . . 76 Post-Test TAKS Obj 2, (A.3)(A) . . . . . . . . . 77 Post-Test TAKS Obj 2, (A.3)(B) . . . . . . . . . 78 Post-Test TAKS Obj 2, (A.4)(A) . . . . . . . . . 79 Post-Test TAKS Obj 2, (A.4)(B) . . . . . . . . . 80 (A.1)(A) . . . . . . . . . . . 1 (A.1)(B) . . . . . . . . . . . 2 (A.1)(C) . . . . . . . . . . . 3 (A.1)(D) . . . . . . . . . . . 4 (A.1)(E) . . . . . . . . . . . 5 (A.2)(A) . . . . . . . . . . . 6 (A.2)(B) . . . . . . . . . . . 7 (A.2)(C) . . . . . . . . . . . 8 (A.2)(D) . . . . . . . . . . . 9 (A.3)(A) . . . . . . . . . . 10 (A.3)(B) . . . . . . . . . . 11 (A.4)(A) . . . . . . . . . . 12 (A.4)(B) . . . . . . . . . . 13 (A.4)(C) . . . . . . . . . . 14 (A.5)(A) . . . . . . . . . . 15 (A.5)(C) . . . . . . . . . . 16 (A.6)(A) . . . . . . . . . . 17 (A.6)(B) . . . . . . . . . . 18 (A.6)(C) . . . . . . . . . 19 (A.6)(D) . . . . . . . . . 20 (A.6)(E) . . . . . . . . . . 21 (A.6)(F) . . . . . . . . . . 22 (A.6)(G) . . . . . . . . . 23 (A.7)(A) . . . . . . . . . . 24 (A.7)(B) . . . . . . . . . . 25 (A.7)(C) . . . . . . . . . 26 (A.8)(A) . . . . . . . . . . 27 (A.8)(B) . . . . . . . . . . 28 (A.8)(C) . . . . . . . . . . 29 (A.9)(B) . . . . . . . . . . 30 (A.9)(C) . . . . . . . . . 31 (A.9)(D) . . . . . . . . . 32 (A.10)(A) . . . . . . . . . 33 (A.10)(B) . . . . . . . . . 34 (A.11)(A) . . . . . . . . . 35 (G.4)(A) . . . . . . . . . . 36 (G.5)(A) . . . . . . . . . 37 (G.5)(B) . . . . . . . . . . 38 (G.5)(C) . . . . . . . . . . 39 (G.5)(D) . . . . . . . . . . 40 iii Holt Mathematics Exit Exam 4/13/06 7:36:37 PM CONTENTS, CONTINUED Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_TAKS_WKBK11_i-iv iv Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS Post-Test TAKS (A.4)(C) . . . . . . . . . 81 (A.5)(A) . . . . . . . . . 82 (A.5)(C) . . . . . . . . . 83 (A.6)(A) . . . . . . . . . 84 (A.6)(B) . . . . . . . . . 85 (A.6)(C) . . . . . . . . . 86 (A.6)(D) . . . . . . . . . 87 (A.6)(E) . . . . . . . . . 88 (A.6)(F). . . . . . . . . . 89 (A.6)(G) . . . . . . . . . 90 (A.7)(A) . . . . . . . . . 91 (A.7)(B) . . . . . . . . . 92 (A.7)(C) . . . . . . . . . 93 (A.8)(A) . . . . . . . . . 94 (A.8)(B) . . . . . . . . . 95 (A.8)(C) . . . . . . . . . 96 (A.9)(B) . . . . . . . . . 97 (A.9)(C) . . . . . . . . . 98 (A.9)(D) . . . . . . . . . 99 (A.10)(A) . . . . . . . 100 (A.10)(B) . . . . . . . 101 (A.11)(A) . . . . . . . 102 (G.4)(A) . . . . . . . . 103 (G.5)(A) . . . . . . . . 104 (G.5)(B) . . . . . . . . 105 (G.5)(C) . . . . . . . . 106 (G.5)(D) . . . . . . . . 107 iv Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj Obj 6, (G.10)(A) . . . . . . . 108 7, (G.6)(B) . . . . . . . . 109 7, (G.6)(C) . . . . . . . . 110 7, (G.7)(A) . . . . . . . . 111 7, (G.7)(B) . . . . . . . . 112 7, (G.7)(C) . . . . . . . . 113 7, (G.9)(D) . . . . . . . . 114 8, (G.8)(A) . . . . . . . . 115 8, (G.8)(B) . . . . . . . . 116 8, (G.8)(C) . . . . . . . . 117 8, (G.8)(D) . . . . . . . . 118 8, (G.11)(A) . . . . . . . 119 8, (G.11)(B) . . . . . . . 120 8, (G.11)(C) . . . . . . . 121 8, (G.11)(D) . . . . . . . 122 9, (8.3)(B). . . . . . . . . 123 9, (8.11)(A). . . . . . . . 124 9, (8.11)(B). . . . . . . . 125 9, (8.12)(A). . . . . . . . 126 9, (8.12)(C). . . . . . . . 127 9, (8.13)(B). . . . . . . . 128 10, (8.14)(A). . . . . . . 129 10, (8.14)(B). . . . . . . 130 10, (8.14)(C). . . . . . . 131 10, (8.15)(A). . . . . . . 132 10, (8.16)(A). . . . . . . 133 10, (8.16)(B). . . . . . . 134 Holt Mathematics Exit Exam 4/13/06 7:36:37 PM Name OBJECTIVE 1 Date Class Ready for TAKS? Benchmark Pre-Test (A.1)(A) 1. The total amount c charged by a public boat dock for docking b boats for one month is given by the equation c ⫽ 500 ⫹ 150b. In this relation, which of the following is the best interpretation of what the independent variable represents? 4. When a weight is attached to the spring shown, the length of the spring is determined by the equation given. ᐉ = 0.4g ⫹ 15 A the total amount charged by the boat dock B the number of months for which the boats are kept C the number of boats kept In this equation, what might the dependent variable represent? D a $500 flat fee charged by the dock for docking the boats F 2. A clothing store had a 25%-off sale on all its winter items. Which statement best represents the functional relationship between the sale price of an article of clothing and the original price? F G the original length of the spring H the maximum length of the spring J The original price is dependent on the sale price. H The original price and the sale price are independent of each other. y It is not possible to determine the relationship without knowing each of the prices. 3. Which of the following does not represent a relation in which the first quantity depends on the second? x A the volume of a cone; the radius of the base of the cone A As x increases, y decreases at a constant rate. B the surface area of a rectangular prism; the length of the base B As x increases, y decreases at a variable rate. C the lateral area of a cylinder; the radius of the base of the cylinder C As x increases, y increases. D the length of the side of a cube; the volume of the cube D As x increases, y sometimes decreases and sometimes increases. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_001-005.indd 1 the length of the spring when g grams of weight are attached 5. The graph shows a function in which the variable y is the dependent variable. Which statement is the best description of the functional relation between x and y ? G The sale price is dependent on the original price. J the number of grams of weight attached to the spring 1 Holt Mathematics Exit Exam 4/14/06 9:49:00 AM Name OBJECTIVE 1 Date Class Ready for TAKS? Benchmark Pre-Test (A.1)(B) 1. Which equation best describes the relationship between x and y shown in the table? 3. Which function could be used to describe the data set shown? {(⫺2, ⫺24), (⫺1, ⫺6), (1, ⫺6), (2, ⫺24)} x y A y⫽x⫺7 1 5 B y ⫽ ⫺7x ⫹ 1 2 20 C y ⫽ 6( ⫺ x)2 5 125 D y ⫽ ⫺6x 2 10 500 4. Which function represents the data set shown? A y ⫽ 5x Domain Range -1 25 0 16 1 9 2 –5 –4 –3 B x ⫽ 5y C y ⫽ 5x 2 D x ⫽ 5y 2 2. The graph shows the relationship between two variables, t and h. Which function represents this relationship? F y ⫽ ⫺ x G y⫽ x H y ⫽ ⫺x2 t J 7 y ⫽ x2 5. The table shows the distance, d, in feet that an object falls freely in t seconds. Which equation best describes the relationship between d and t? 6 F h Distance, d (ft) Time, t (s) 16 1 64 2 144 3 7t h ⫽ ⫺__ 6 7t ⫹ 7 G h ⫽ ⫺__ 6 7h H t ⫽ ⫺__ 6 J A d ⫽ 16t B t ⫽ 16d 7h ⫹ 7 t ⫽ ⫺__ 6 C d ⫽ 16t 2 D t ⫽ 16d 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_001-005.indd 2 2 Holt Mathematics Exit Exam 4/14/06 9:49:01 AM Name OBJECTIVE 1 Date Class Ready for TAKS? Benchmark Pre-Test (A.1)(C) 1. A towing company charges $45 to hook up to a disabled vehicle plus $1.50 per mile that the vehicle is towed. The chart shows the cost of several typical tows. 3. A saline solution is described by the percent of the solution that is salt. A chemist mixed 30 grams of a 50% saline solution with x grams of a 30% saline solution. Which equation describes S, the amount of salt in the chemist’s mixture? Towing Costs Number of miles, m Cost, c 1 $46.50 5 $52.50 10 $60.00 20 $75.00 A S ⫽ 30(0.5) ⫹ 30x B S ⫽ 30(0.5) ⫹ 0.3x C S ⫽ (30 ⫹ x)(0.8) ⫹ 0.5 ________ D S ⫽ (30 ⫹ x) 0.3 2 Which equation best represents the relationship between the number of miles towed, m, and the total cost, c, to tow a vehicle? 4. Ms. Jones invested $12,000 in two savings accounts. She put part of the money into an account that earns 3.75% interest per year and the rest into an account that earns 4% per year. Which equation describes i, the total amount of interest earned by both accounts for one year? A c ⫽ 45 ⫹ 1.50 B c ⫽ 45m ⫹ 1.50 C c ⫽ 45 ⫹ 1.50m D c ⫽ 45m ⫹ 1.50m F 2. A community center is having the bottom and sides of its pool resurfaced. The length of the pool is 3 times the width, and the depth of the pool is 4 feet everywhere. The pool is shown. i ⫽ 0.0775(12000) G i ⫽ 6000(0.0375) ⫹ 6000(0.04) H i ⫽ 0.0375x ⫹ 0.04(12000 ⫺ x) J i ⫽ 12000(0.0375x ⫹ 0.04x) 5. In most graduate schools, the lowest passing grade point average is a B⫺, which is equivalent to a GPA of at least 2.7 but less than 3.0. If z represents a student’s GPA, which inequality best expresses this requirement? If w represents the width of the pool, which expression best represents the area of the portion of the pool that will be resurfaced? 32w ⫹ 3w 2 G 20w ⫹ 6w H 32w ⫹ 6w 2 J F Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_001-005.indd 3 A 3.0 ⬍ z < 2.7 B 3.0 ⱕ z < 2.7 C 2.7 ⬍ z ⱕ 3.0 2 D 2.7 ⱕ z ⬍ 3.0 5(3w ⫹ 4 ⫹ w) 3 Holt Mathematics Exit Exam 4/14/06 9:49:01 AM Name OBJECTIVE 1 Date Ready for TAKS? Benchmark Pre-Test (A.1)(D) 3. Which of the following equations does NOT represent a function? 1. The function _ f (x ) ⫽ {(⫺1, 1), (1, 1), (2, 0.25), (3, 0.1)} can be represented in a variety of different ways. Which of the following is NOT an accurate representation of f (x )? A y⫽x ⫺2 A y ⫽ x(x ⫹ 4) 2 ⫹x _______ B y ⫽ 4x x with domain ⫽ {⫺1, 1, 2, 3} C x2 ⫹ y2 ⫽ 4 _ 1 with range ⫽ {1, 0.25, 0.1} B x ⫽ ___ y C x ⫺1 1 2 3 y 1 1 0.25 0.1 D y ⫽ x ⫹ 4 _ D Domain 4. Which of the following best describes the graph of the inequality 2x ⫺ y ⬎ 3 ? F Range –1 1 2 3 H the area that is shaded above the dotted line y ⫽ 2x ⫺ 3 J 8 6 4 2 –6 –4 –2 2 –2 4 6 8 the area that is shaded above the solid line y ⫽ 2x ⫺ 3 5. A function is defined as follows: x is an even integer between, and including, ⫺2 and 2, and y is always 3 times x. Which of the following is NOT a correct representation of the function? y –8 the area that is shaded below the dotted line y ⫽ 2x ⫺ 3 G the area that is shaded below the solid line y ⫽ 2x ⫺ 3 1 0.25 0.1 2. Which inequality best describes the graph shown? A y ⫽ 3x for ⫺2 ⱕ x ⱕ 2 x B f (x) ⫽ {(⫺2, ⫺6), (0, 0), (2, 6)} –4 –6 C –8 F Class 2x ⫺ 5y ⱖ 15 x ⫺2 0 2 y ⫺6 0 6 y D G 2x ⫹ 5y ⱖ 15 6 4 H 2x ⫺ 5y ⱕ 15 J 2 2x ⫹ 5y ⱕ 15 –6 –4 –2 2 –2 4 6 x –4 –6 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_001-005.indd 4 4 Holt Mathematics Exit Exam 4/14/06 9:49:01 AM Name OBJECTIVE 1 Date Class Ready for TAKS? Benchmark Pre-Test (A.1)(E) 4. The net profit, p, that a shower head company makes from producing s shower heads is represented by the equation p ⫽ 3.5s ⫺ 7000. Which is the best interpretation of this information? 1. Which of the following is true for the parabola y ⫺ 1 ⫽ (x ⫺ 2)2? A The vertex is (⫺2, 1). B The axis of symmetry is x ⫽ 2. C The minimum value is at (0, 5). F D The maximum value is at (0, 5). The company’s profit is always at least $7,000. G The company needs to sell more than 2,000 shower heads before it makes a profit. 2. The graph shows the relationship between speed and time during Erin’s morning jog. H The company has sold more than 7,000 shower heads. J Speed 5. A ball is thrown straight up from a flat roof of a building that is 192 feet tall with an initial velocity of 16 feet per second. If there is no air resistance, the height of the ball at any time t is given by the function h(t ) ⫽ ⫺16t 2 ⫹ 16t ⫹ 192. The graph of the function is shown. Time Which of the following might describe the same jog? F Erin jogs along a flat road. She then jogs up a hill at the same pace. y 200 Height (h) G Erin jogs at a steady pace along a flat road. She then runs up a hill and her speed decreases. H Erin jogs at a steady pace up a hill. She then runs down the hill and her speed increases. J 160 120 80 40 Erin jogs at a steady pace up a small incline. She then jogs up a steep incline. 1 2 3 Time (t) 3. If x ⱖ 1, which is always a correct conclusion about the quantities in the function y ⫽ x⫺1? 4 x Which statement is true about h(t )? A After one half of a second, the ball fell at a constant rate. A As x increases, y increases. B As x increases, y decreases. B The height of the ball decreased for all values of t. C The variable y is always less than the variable x. C After one second, the height of the ball returned to the height of the roof. D The variable y is always greater than or equal to the variable x. D After four seconds, the height of the ball returned to the height of the roof. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_001-005.indd 5 The company’s profit last year was $7,000. 5 Holt Mathematics Exit Exam 4/14/06 9:49:02 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Pre-Test (A.2)(A) 1. Which of the functions is linear? 3. The graph of which function would pass through the points (⫺1, 10) and (5, 10)? 2 A y ⫹ 2(x ⫺ 3) ⫽ 5 A y ⫽ ⫺6x ⫹ 4 B y⫽x⫹5 1(x ⫹ 2) ⫺ 3x B y ⫽ ⫺__ 2 C 2y ⫹ 3 ⫽ C y ⫽ x2 ⫺ 4x ⫹ 5 x D y ⫽ x2 ⫺ 4x ⫹ 11 4. Which statement best describes the 2 graph of y ⫽ ⫺(x ⫹ 1) ⫺ 2? 1 ⫹ 3x D y ⫽ x__ F 2. Which is the best representation of the function y ⫽ 2x ? G a parabola whose vertex is at (1, ⫺2) y F H an upside-down parabola whose vertex is at (2, ⫺1) 2 x J an upside-down parabola whose vertex is at (⫺1, ⫺2) 5. Which equation is the parent function of the graph shown? y G a line with a slope of ⫺1 and y-intercept ⫺2 y 2 x x y H 2 x A y ⫽ x B y⫽x C y ⫽ x2 y J D y⫽ x 2 x Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 6 6 Holt Mathematics Exit Exam 4/14/06 9:49:11 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Pre-Test (A.2)(B) 4. What is the range of the function graphed? 1. What is the domain of the function given? f(x) ⫽ x⫺ 3 y A all real numbers B {3, 4, 5, … } C x⬎0 5 x D xⱖ3 2. Identify the domain of the function given. –5 {( ⫺2, 3), ( ⫺1, 5), (3, 4), (5, ⫺4)} F all real numbers G {⫺4, ⫺2, ⫺1, 3, 4, 5} H {⫺2, ⫺1, 3, 5} J F {⫺4, 3, 4, 5} yⱕ0 G ⫺2 ⱕ y ⱕ 0 3. What is a reasonable domain for this function? H y ⱕ ⫺2 J all real numbers 5. What is the domain, written in interval notation, of the function graphed? y 1 1 5 x –5 A ⫺2 ⬍ x ⬍ 1 B ⫺2 ⬍ x ⱕ 2 C ⫺2 ⱕ x ⱕ 1 A [⫺4, 2] D ⫺1 ⬍ x ⬍ 2 B (⫺2, 4) C [⫺2, 4) D (2, 2) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 7 7 Holt Mathematics Exit Exam 4/14/06 9:49:11 AM Name Date Class Ready for TAKS? OBJECTIVE 2 Benchmark Pre-Test (A.2)(C) A quarterback throws a football to a wide receiver. The points in the figure show the height of the football, in feet, above the ground in terms of its distance, in feet, from the quarterback. 1. The graph shows the decrease in value of a tractor over a period of 36 months. Value ($ in thousands) y 14 12 10 (45, 18) 8 6 4 Height (ft) 2 6 12 18 24 30 36 x 6 Time (in months) What is a reasonable conclusion about the value of this tractor during the time period shown on the graph? (90, 6) Distance from Quarterback (ft) A Its value at 18 months was twice its value at 36 months. Use the diagram above to answer questions 3 and 4. B Its value at 36 months was half its value at 8 months. 3. Which of the following is NOT a reasonable conclusion? C It depreciated $3,000 every 12 months. A The height of the ball when it leaves the quarterback’s hand is the same as the height of the ball when the receiver catches it. D It depreciated $9,000 every 12 months. 2. The graph shows the value, in dollars, of a certain stock over a seven month period. B The maximum height of the ball is 45 feet. C The ball travels 90 feet from the quarterback. 1 2 3 4 5 6 D At its maximum height, the ball is 3 times as high as its original height. 7 4. What is the approximate height of the football, in feet, when it leaves the quarterback’s hands? Which is a reasonable statement about the value of the stock over this period? F The stock lost value for the first four months. F G 18 G The stocks most rapid increase in price was between months 3 and 4. H 45 J H The stock only lost value between months 4 and 6. J 6 90 The value of the stock more than tripled in price by month. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 8 8 Holt Mathematics Exit Exam 4/14/06 9:49:12 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Pre-Test (A.2)(D) 1. The scatter plot shows the number of new highways built in a city for several different years since 1970. Use the scatter plot to answer questions 3 and 4. Walking Times to School 70 New Highways Time (minutes) 60 50 40 30 20 10 0 1.5 2.0 2.5 A The number of new highways continues to grow at a steady rate. 3. Predict the approximate walking time for a student who lives 5 miles from school. B Fewer and fewer new highways are being built each year. A 70 minutes C The number of new highways built has leveled off since 1970. B 85 minutes C 90 minutes D No conclusion can be drawn because there is no pattern. D 100 minutes 2. The table shows the retail price of Tiffany lamps based on the wholesale price. 4. Which statement BEST describes the relationship between distance and time? F As the distance increases, the walking time remains the same. Wholesale ($) Retail ($) 200 300 250 400 300 500 H The distance does not affect the walking time 350 600 J G As the distance increases, the walking time decreases. Use the data to predict the wholesale price of a Tiffany lamp with a retail price of $850. $250 G $475 Copyright © by Holt, Rinehart and Winston. All rights reserved. 3.0 The scatter plot shows the relationship between distance from school and the walking time to school in a large city for the students in Mrs. Reed’s class. The plot also shows the line of best fit for the data. What conclusion can be drawn about the number of new highways built in this city since 1970? AGA07_RTAKS11_006-014.indd 9 1.0 Distance (miles) Years Since 1970 F 0.5 The walking time consistently increases by 10 minutes per half mile. H $600 J $1,600 9 Holt Mathematics Exit Exam 4/14/06 9:49:12 AM Name OBJECTIVE 2 Date Ready for TAKS? Benchmark Pre-Test (A.3)(A) 4. Pedro began the month with 120 trees to trim. If he trims 5 trees per day for the first d days, which expression represents the number of trees per day, t, that he must trim for each of the remaining days to complete the job in 30 days total? 1. Mark makes x dollars each week mowing lawns. If he saves 25% of his pay each week, which of the following represents the amount of money Mark does NOT save each week? A 0.25x B 0.75x F C x ⫺ 0.25 ⫺ 5d ________ H t ⫽ 120 30 ⫺ d 2. Let w represent the number of gallons of water being poured into a pool every minute and let f(t ) represent the number of gallons of water in the pool t minutes after the pool has started filling. The function f (t) is best represented by wt ⫺ 5d ________ t ⫽ 120 d ⫺ 5d ________ G t ⫽ 120 30 D 1.25x F Class J ⫺ 5d ________ t ⫽ 120 5d 5. Which equation represents the perimeter, P, of the rectangle shown? 2 x⫹1 2y G w⫹t H wt J w ⫹ t2 3. The table shows the cost of buying 2 concert tickets at Music . Number of Tickets Total Cost ($) 3 54 5 90 10 180 20 360 2 3x ⫹ y 5x ⫹ __ 3y A P ⫽ __ 6 4 2x2 ⫹ __ 2xy ⫹ __ 1y2 B P ⫽ __ 3 3 2 5x ⫹ __ 3y C P ⫽ __ 3 2 Which equation represents the total cost if a customer purchases n tickets. 10x ⫹ 3y D P ⫽ ___ 3 A c ⫽ 54n B c ⫽ 18n C c ⫽ 18 ⫹ n D c ⫽ 54 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 10 10 Holt Mathematics Exit Exam 4/14/06 9:49:13 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Pre-Test (A.3)(B) 4. Greg wants to write an expression that will always produce a perfect square. Which of the following will NOT always produce a perfect square for any given integer, n? 1. What is the sixth term in this pattern? 8x , ... 4x , ___ 2x, ___ 4 2 3y 9y 16x A ____ 27y8 F 128x C ______ 729y12 H n2 ⫹ 2n ⫹ 1 G n2 ⫺ 2n ⫺ 1 J 14x D ____ 8y12 n4 ⫺ 2n2 ⫹ 1 5. The figures show a pattern between the number of rows, r, and the number of blocks, b. Which equation relates the number of rows to the number of blocks? 2. Which algebraic expression best represents the relationship between the x- and y-coordinates in the coordinate pairs given? Figure 1 {(1, 3), (2, 8), (3, 15), (4, 24)} F n 2 64x B ______ 243y10 y ⫽ 3x G y ⫽ 2x ⫹ 1 Figure 2 2 H y⫽x ⫹2 J y ⫽ (x ⫹ 1)2 ⫺ 1 3. Which algebraic expression best represents the relationship between the terms in the following sequence and their position, n, in the sequence? Figure 3 4, 7, 12, 19, … A 4n A b ⫽ (r ⫺ 1) ⫹ 1 B n⫹3 B b ⫽ (r ⫺ 1)2 ⫹ 1 C 3n ⫹ 1 C b ⫽ 2r ⫺ 1 2 D n ⫹3 r(r ⫹ 1) D b ⫽ _______ 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 11 11 Holt Mathematics Exit Exam 4/14/06 9:49:13 AM Name OBJECTIVE 2 Date Ready for TAKS? Benchmark Pre-Test (A.4)(A) 3 ⫺ 4x ⫺ 5 1. If f(x) ⫽ x__________ , what is f(⫺1)? x 4. Solve the equation y ⫽ ax ⫹ b for x. A 4 F B 2 D ⫺3 y⫺b H x ⫽ _____ a 2. What is the missing value in the function table? x f(x) ⴝ 3 ⴚ x ⫺2 ⫺1 0 3 1 2 ? ⫺13 J x⫽y⫺b⫺a 2 5. Twice a number is 9 less than five times the same number. The algebraic equation 2x ⫽ 5x ⫺ 9 represents this situation. Use the equation to find the number. A ⫺6 4 ⫺1 9 B ⫺__ 7 G 2 H 10 J x ⫽ ay ⫹ b y⫹b G x ⫽ _____ a C ⫺2 F Class C ⫺3 4 D 3 3. A rhombus has four equal sides. One of its sides is labeled. What is the perimeter, in simplest form, of the rhombus? 6. The rectangle shown has an area of x2 ⫺ 7x ⫺ 18. 3x 2 ⫹ 2x ⫹ 5 x⫺9 A (3x2 ⫹ 2x ⫹ 5)4 Which expression represents the width of the rectangle? B 12x2 ⫹ 2x ⫹ 5 F 2 C 3x ⫹ 2x ⫹ 20 G x⫺3 2 D 12x ⫹ 8x ⫹ 20 H x⫹2 J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 12 2x 12 x⫺2 Holt Mathematics Exit Exam 4/14/06 9:49:13 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Pre-Test (A.4)(B) 1. Which real number property is illustrated by the equation 4(5x ⫺ 6y) ⫽ 20x ⫺ 24y? 5. What is the perimeter of the pentagon? 3x 2⫺ 2x A the Commutative Property of Addition 4x ⫹ 1 B the Associative Property of Addition C the Distributive Property x D the Multiplicative Identity Property of 1 4x ⫺ 6 5x 2 ⫹ 3 2. Which expression is equivalent to (4x ⫺ 3)(2x) ⫺ (x ⫹ 5)(2x ⫺ 5)? F A 8x2 ⫹ 7x ⫺ 2 3x ⫺ 3 G ⫺5x2 ⫹ 25 B 15x2⫺ 2 H 6x2 ⫺ x ⫺ 25 C 15x6 ⫺ 2 J D 15x5 ⫺ 2 6x2 ⫺ 11x ⫹ 25 6. The table shows the factored form and the simplified form for several products. 3. Which expression is equivalent to 3x ? 5x2 ⫺3 __ 1x2 ⫺ __ __ 2 2 2 2 3x A x ⫺ __ 2 Factored Form 9x B x2 ⫹ __ 2 9x C x2 ⫺ __ 2 9x D 1 ⫹ __ 2 4. Which expression is equivalent to ⫺3x y 2 2 2 ⫺ 7xy ⫺ 4xy ⫹ 8xy ⫹ 5x y ⫹ 3xy ? G 2x y ⫹ xy ⫺ 7xy 2 H 2x y ⫹ xy ⫹ xy 4 2 2 x ⫹2 (x ⫺ 2)(x ⫺ 1) x2 ⫹ 2 (x ⫹ 3)2 x2 ⫹ 9 (x ⫺ 3)(x ⫹ 3) x2 ⫺ 9 2 2 x(x ⫹ 2) G (x ⫺ 2)(x ⫺ 1) H (x ⫹ 3)2 2 J 2 (x ⫺ 3)(x ⫹ 3) 2 4 2x y ⫹ x y ⫺x y Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 13 F 2x2y ⫹ xy ⫺ xy2 2 J x(x ⫹ 2) Which product is correctly simplified? 2 F Simplified Form 13 Holt Mathematics Exit Exam 4/14/06 9:49:14 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Pre-Test (A.4)(C) 4. The graph of a function is shown. 1. Which function notation would represent the same relationship as the quadratic 2 equation y ⫽ (x ⫺ 2) ? y A f(x) ⫽ x ⫺ 2 8 B f(x) ⫽ x2 ⫺ 2 6 4 C f(x) ⫽ x ⫹ 2 2 D f(x) ⫽ (x ⫺ 2)2 –8 –6 –4 –2 2. Which quadratic equation would represent the same relationship as the 2 function f (x) ⫽ ⫺(x ⫺ 5) ? F 2 –2 4 6 8 x –4 –6 2 y ⫽ ⫺(x ⫺ 5) –8 2 G y ⫽ (x ⫹ 5) H y ⫽ ⫺(x ⫺ 5) J Identify the function. y ⫽ x ⫺ 5 F 3. The table shows several values generated by the function 2 f(x) ⫽ (2x ⫺ 3) . x f(x) 0 0 ⫺1 25 ⫺2 49 ⫺3 81 f (x) ⫽ y2 ⫺ 1 G f (x) ⫽ x2 H f (x) ⫽ x2 ⫺ 1 J f (x) ⫽ x2 ⫹ 1 5. A chemistry class monitored the temperature of a liquid that was being cooled. The initial temperature of the liquid was 20°C and the temperature decreased by 2 degrees every minute. The results can be represented by the function f (m) ⫽ 20 ⫺ 2m, where m is the number of minutes that have passed. Which equation would represent the temperature, t, after m minutes have passed? Which equation represents the same relationship? A y 2 ⫽ 2x ⫺ 3 B y ⫽ ⫺2x ⫺ 3 A t ⫽ 2m 2 C y ⫽ (2x ⫺ 3) B t⫽m⫺2 2 D y ⫽ 4x ⫹ 9 C t ⫽ 20 ⫺ 2m D t ⫽ 20 ⫺ m ⫺ 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_006-014.indd 14 14 Holt Mathematics Exit Exam 4/14/06 9:49:14 AM Name OBJECTIVE 3 Date Ready for TAKS? Benchmark Pre-Test (A.5)(A) 1. Which of the following is NOT a linear equation? 3. Which set of coordinate points represents a linear function? A {(⫺5, 1), (0, 2), (5, 3), (10, 4)} A y ⫽ 4(x ⫹ 3x) B {(0, 2), (2, 4), (3, 6), (4, 8)} B y ⫽ 5x ⫹ 2(x ⫹ 3) C {(3, 1), (6, 2), (9, 3), (12, 5)} 4 C y ⫽ _____ x⫹3 D {(⫺2, 4), (⫺1, 1), (1, 1), (2, 4) 4. Which situation can be represented by a linear function? D 2x ⫹ y ⫽ 7x ⫹ 2y ⫹ 9 F 2. Which table of values does NOT represent a linear function? F G H J x y 1 5 2 7 3 9 4 11 x y ⫺2 2 ⫺1 3 0 4 1 5 x y ⫺2 ⫺8 0 ⫺2 2 4 4 10 x y 1 2 3 4 5 8 7 12 A person’s heart rate while riding a stationary bike if the resistance increases every 10 minutes. G The area of a rectangle whose length is x and whose width is twice its length. H The total amount of money saved if a person deposits $50 each month for 12 months. J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 15 Class The amount of tips a waitress makes each hour during an 8-hour shift at a restaurant. 5. Which of the following functions would NOT have a graph that is a line? A y ⫽ 0.5x ⫺ 0.16 x⫹2 B y ⫽ 4兹 3x ⫹ 2 C y ⫽ ___ 5 1 D y ⫽ 2x ⫹ __ 2 15 Holt Mathematics Exit Exam 4/14/06 9:49:25 AM Name Date Class Ready for TAKS? OBJECTIVE 3 Benchmark Pre-Test (A.5)(C) 1. What is the equation of the line shown? 4. Which linear equation represents the statement “y is 5 more than 3 times x”? y F 10 G y ⫽ 3x ⫹ 5 8 H 3y ⫽ x ⫺ 5 6 J 4 –6 –4 –2 2 4 6 8 10 –2 3y ⫽ x ⫹ 5 5. Which is the graph of the equation 1x ⫺ __ 1y ⫽ 1? __ 2 3 y A 2 –10 –8 y ⫽ 3 (x ⫹ 5) x 10 –4 8 6 –6 4 2 –8 –10 –8 –6 –4 –2 –10 –2 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x –4 –6 –8 –10 2x ⫺ 4 A y ⫽ ⫺__ 5 5x ⫹ 4 C y ⫽ ⫺__ 2 2x ⫹ 4 B y ⫽ ⫺ __ 5 5x ⫺ 4 D y ⫽ ⫺__ 2 y B 10 8 6 4 2 –10 –8 –6 –4 –2 2. The table shows several points that lie on a given line. Which of the following could be the equation of the line? x y ⫺2 0 ⫺1 0 –2 –4 –6 –8 –10 y C 3 10 8 6 1.5 4 2 F y ⫽ 2x –10 –8 –6 –4 –2 H __x ⫺ y ⫽ 0 2 –2 –4 –6 –8 G y⫽x⫹1 J –10 y ⫽ ⫺2x y D 3. Which linear equation is equivalent to 3? 1x ⫹ __ the equation y ⫽ __ 2 4 A x ⫺ 4y ⫹ 3 ⫽ 0 10 8 6 4 2 –10 –8 –6 –4 –2 –2 –4 B 2x ⫺ 4y ⫹ 3 ⫽ 0 –6 –8 C 2x ⫺ 4y ⫹ 12 ⫽ 0 –10 D x ⫺ 2y ⫹ 6 ⫽ 0 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 16 16 Holt Mathematics Exit Exam 4/14/06 9:49:25 AM Name Date Class Ready for TAKS? OBJECTIVE 3 Benchmark Pre-Test (A.6)(A) 6? 4. Which line has a slope of ⫺__ 5 y F 1. What is the slope of the line whose equation is 2y ⫽ ⫺3(x ⫺ 5)? 10 A ⫺3 C 2 ⫺__ D 15 ___ 8 6 3 4 2 B 3 ⫺__ 2 –10 –8 –6 –4 –2 2 –2 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x –4 –6 –8 2. What is the slope of the line whose equation is 3y ⫹ 2x ⫺ y ⫽ 6 ⫹ 2y? F –10 y G 0 10 8 6 4 1 G __ 2 2 –10 –8 –6 –4 –2 –2 –4 –6 H 3 –8 –10 J undefined slope y H 10 8 6 3. What is the slope of the line whose graph is shown? 4 2 –10 –8 –6 –4 –2 y –2 –4 –6 –8 10 –10 8 y J 6 10 8 6 4 4 2 2 –10 –8 –6 –4 (4, 0) –2 2 4 –2 6 –10 –8 –6 –4 –2 8 10 x –4 –6 –8 –10 –4 –6 5. Line a passes through each of the points in the table. What is the slope of line a? –8 –10 2 C ⫺__ 5 2 __ 5 ⫺__ 5 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 17 (0, –10) 5 A __ 2 B –2 D x 4 10 16 y ⫺2 2 11 A 6 2 C __ 3 B 4 2 D ⫺__ 3 2 17 Holt Mathematics Exit Exam 4/14/06 9:49:26 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Pre-Test (A.6)(B) 1. According to the graph, which statement best describes the relationship between x and y ? 4. What is the equation of the line that contains point (4, ⫺5) and is parallel to the graph of 3x ⫺ 2y ⫽ 7. F 3x ⫺ 2y ⫽ 7 3x ⫺ __ 7 G y ⫽ __ 2 2 H 2x ⫺ 3y ⫽ 23 J 3x ⫺ 2y ⫽ 22 A As x increases, y remains constant. 5. The table shows the price of purchasing certain numbers of concert tickets. B As y increases, x remains constant. C As x increases, y increases. D As x increases, y decreases. 2. Which of the following pairs of equations describes a pair of parallel lines? F y ⫽ 2x ⫹ 4 and y ⫽ ⫺2x ⫹ 4 G 1x ⫹5 y ⫽ 3x ⫺ 1 and y ⫽ ⫺__ 3 x ⫹ 2y ⫽ 6 and 2x ⫺ y ⫽ 5 3. Which graph could represent the money in Jack’s bank account if the money increased for a few months, then increased by a greater amount, then increased by an even greater amount? A C B D Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 18 Cost ($) 4 108 8 216 12 324 16 432 If the linear function that represents this data were graphed with the number of tickets on the horizontal axis and the cost on the vertical axis, which would be the best interpretation of the slope of the line? H x ⫹ 3y ⫽ 9 and 2x ⫹ 6y ⫽ 7 J Number of Tickets A The cost of buying 4 tickets is $108. B The cost of buying 0 tickets is $0. C Each ticket costs $27. D The cost per ticket increases as more tickets are purchased. 18 Holt Mathematics Exit Exam 4/14/06 9:49:26 AM Name OBJECTIVE 3 Date Ready for TAKS? Benchmark Pre-Test (A.6)(C) 1. The graphs of line ᐉ and line m are shown. Line ᐉ 10 8 8 6 6 4 4 –2 A It will reflect the graph across the x-axis. y 10 2 –10 –8 –6 –4 –2 3. The function y ⫽ 3.4x ⫺ 6.9 is changed to y ⫽ 3.4x ⫹ 6.9. What will be the effect on the graph of the function? Line m y B It will reflect the graph across the y-axis. 2 2 4 6 8 10 x –10 –8 –6 –4 –2 –2 –4 –4 –6 –6 –8 –8 –10 –10 2 4 6 8 10 x C It will translate the graph 13.8 units right. D It will translate the graph 13.8 units up. 3 and 4. Line a has equation y ⫽ ⫺2x ⫹ __ 2 Line b has the same slope as Line a, How does the graph of line ᐉ compare to the graph of line m? A The slope of ᐉ is less, but the y-intercept is greater. B The slope of ᐉ is less and the y-intercept is less. but has a y-intercept of 5. Which C The slope of ᐉ is greater and the y-intercept is greater. related to Line a? statement describes how Line b is F D The slope of ᐉ is greater, but the y-intercept is less. H Line b is a reflection of Line a across the x-axis. y J 10 8 6 4 –2 2 4 6 8 10 x –4 –6 –8 –10 A y ⫽ 3x ⫺ 2 If the y-intercept is decreased by 5 units, what would be the equation of the new function? F 5 1x ⫹ __ f (x) ⫽ __ 2 2 15 1x ⫺ ___ G f (x) ⫽ __ 2 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. B y ⫽ ⫺6x ⫹ 1 C y ⫽ ⫺4x ⫹ 9 D 3y ⫽ ⫺2x ⫹ 1 9x ⫺ __ 5 H f (x) ⫽ ⫺__ 2 2 J Line b is a reflection of Line a across the y-axis. 5. A line has equation y ⫽ ⫺2x ⫹ 3. If the slope of the line is multiplied by 3 and ⫺2 is added to the y-intercept, what will be the equation of the new line? 2 –10 –8 –6 –4 –2 Line b is a translation of Line a 3.5 unit up. G Line b is a translation of Line a 3.5 units down. 5 1x ⫺ __ 2. The graph of the function f (x) ⫽ __ 2 2 is shown. AGA07_RTAKS11_015-023.indd 19 Class 5x ⫺ __ 5 f (x) ⫽ ⫺__ 2 2 19 Holt Mathematics Exit Exam 4/14/06 9:49:27 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Pre-Test (A.6)(D) 3, what 4. If the slope of the line shown is __ 2 is the x-coordinate of the x-intercept? 1. Which equation describes a line that passes through the point (⫺2, 1) and 1? has a slope of ⫺__ 4 1 1x ⫺ __ A y ⫽ ⫺__ 4 2 y 1x ⫹ __ 1 B y ⫽ ⫺__ 4 2 C x –4 1x ⫹ 3 y ⫽ ⫺__ 4 3 1x ⫺ __ D y ⫽ ⫺__ 4 2 2. Which equation describes a line that contains the points (1, 2) and (2, ⫺1)? F F 3x ⫹ y ⫽ 5 5 G __ 2 G 3x ⫺ y ⫽ 5 8 H __ 3 H 3x ⫹ y ⫽ ⫺5 J ⫺4 3x ⫺ y ⫽ ⫺5 J 3. Which equation describes the line with x-intercept ⫺4 and y-intercept 3? 6 5. Which could be the equation of the line whose graph is shown? A 4y ⫺ 3x ⫽ 12 B 3y ⫺ 4x ⫽ 9 y C 4y ⫹ 3x ⫽ 12 D 3y ⫺ 4x ⫽ 0 x 4x ⫹ 2 A y ⫽ __ 5 4x ⫺ 2 B y ⫽ __ 5 4x ⫹ 2 C y ⫽ ⫺__ 5 4x ⫺ 2 D y ⫽ ⫺__ 5 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 20 20 Holt Mathematics Exit Exam 4/14/06 9:49:27 AM Name Date OBJECTIVE 3 Ready for TAKS? Benchmark Pre-Test (A.6)(E) 1. If the line 5x ⫺ 3y ⫽ ⫺12 were graphed, what would be the x-intercept? 4. The table shows several points that lie on a line. What would be the x-intercept of this line if it were graphed? 12 B ⫺___ 5 A ⫺4 C Class 12 ___ D 4 5 2. If the line 5x ⫺ 7y ⫽ ⫺24 were graphed, what would be the y-intercept? F 24 G ___ 7 24 ___ 5 24 H ⫺___ 7 F ⫺2 6 ⫺3 8 ⫺4 10 2 H 0 3. An equation of the line graphed is 2(x ⫺ y) ⫽ c ⫺ x. What is the value of c? J ⫺5 5. A refrigerator company is testing a new refrigerator. The temperature, in °F, is recorded every hour, h, from the time the refrigerator is turned on. The table shows that the temperature decreases according to a linear relationship. y 10 8 6 y G 1 24 ⫺___ 5 J x (0, 6) 4 2 (–4, 0) –10 –8 –6 –4 –2 2 4 –2 6 8 10 x –4 –6 –8 h Temperature (°F) 0 72 1 56 2 40 If the pattern continues and the linear relationship was graphed with h on the horizontal axis, what would be the x-intercept of the line? –10 A ⫺12 B ⫺4 3 C __ 2 D 12 A 3 B 3.5 C 4 D 4.5 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 21 21 Holt Mathematics Exit Exam 4/14/06 9:49:27 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Pre-Test (A.6)(F) 1. The graph of a line is shown. If the y-intercept is doubled and the slope is tripled, which equation represents the new line? Use the information and the graph to answer questions 3–5. A plumber charges a flat fee of $80 to make a house call. The graph shows the total cost for a visit based on the flat fee and the number of hours to complete the visit. y 10 8 6 Cost ($) 4 2 –10 –8 –6 –4 –2 2 4 6 8 10 –2 x (2, 130) 80 –4 (1, 105) –6 –8 1 2 Number of Hours –10 3x ⫹ 12 A y ⫽ __ 2 C y ⫽ 6x ⫹ 12 B y ⫽ 3x ⫹ 12 D 3y ⫽ x ⫹ 6 3. If the plumber increased his flat fee by $20 but kept his hourly rate the same, what would be the total charge for a visit that took 2 hours? 2. Two start-up companies’ profits over a six month period of time are represented by the graphs. Company A B $150 D $100 F Company B $165 G $140 H $110 J $80 5. If the plumber increased his flat fee by $20 and increased his hourly rate by $5, what would be the total charge for a visit that took 2 hours? The two companies’ profits grew at the same rate. G Company B’s profits grew faster since the y-intercept is greater. H Company A’s profits grew at the same rate that company B’s profits declined. J C $125 4. If the plumber left his flat fee at $80 but increased his hourly rate by $5, what would be the total charge for a visit that took 2 hours? Which statement best compares the two companies’ profits? F A $175 A $230 C $160 B $165 D $130 Company B’s profits grew faster since the slope of the line is greater. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 22 22 Holt Mathematics Exit Exam 4/14/06 9:49:28 AM Name OBJECTIVE 3 Date Ready for TAKS? Benchmark Pre-Test (A.6)(G) 1. A truck’s value decreases according to the age of the vehicle. The table shows the value of the truck depending on its age. Age (years) Value (dollars) 0 18,000 1 15,000 3 9,000 4. The Canadian bobsled team is practicing for the Winter Olympics. The coach recorded the following data during practice. All distances are measured from the top of the course but because of repairs on the course the bobsled started 20 m down from the top of the course. Time (seconds) Distance (meters) 3.50 80 7.00 140 8.75 170 If the value of the truck continues to decrease at the rate shown in the table, how old will the truck be when it is worth nothing? A 4 yrs C 6 yrs B 5 yrs D 7 yrs If the bobsled team continues to sled at the rate shown in the table, what is the approximate distance they will move in 20 seconds? 2. The force that must be applied to lift an object using a certain pulley system varies directly with the weight of the object. If a force of 0.225 pounds is required to lift an object that weighs 17 pounds, approximately how much force is required to lift an 80-pound desk? F F H 457 m J 514 m 5. The time it takes to hear thunder varies directly with a person’s distance from the lightning that precedes the thunder. The table shows the number of seconds between seeing lighting and hearing thunder for several times and distances. 0.000165 lbs H 0.944 lbs Time (seconds) Distance (miles) 10 2 8 1.6 5 1 1.059 lbs 3. Based on the given exchange rate for Aruban florin on a certain day at the airport, Ms. Marvel purchased a purse that was marked 400 florin for 225 U.S. dollars. At this same rate, approximately what would a 45 florin bag cost in U.S. dollars? A $25.31 C $130 Based on the data in the table, how many seconds does it take a person to hear the thunder if the lightning is 6.5 miles away? B $80 D $220 A 0.77 C 32.5 B 1.3 D 35.6 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_015-023.indd 23 343 m G 400 m G 0.048 lbs J Class 23 Holt Mathematics Exit Exam 4/14/06 9:49:28 AM Name OBJECTIVE 4 Date Ready for TAKS? Benchmark Pre-Test (A.7)(A) 1. Marsha is exercising using a specific program in which the number of hours she runs each week, r, is twice the number of hours she does aerobics, a. Which equation represents the number of hours she runs each week? 4. Ms. Jackson is doing a study on the weight of turkeys compared to the number of handfuls of corn the turkeys eat each day. She feeds 100 turkeys a certain number of handfuls each day and then after one year, counts to see how many turkeys weigh more than 40 pounds. The results are given in the table. A r⫽a⫺2 B r⫽a⫹2 C a ⫽ 2r D r ⫽ 2a 2. Michael has allotted a maximum of 2 hours each day to work on SAT practice problems. Each math question, m, takes Michael approximately 3 minutes to complete. Each verbal question, v, takes Michael approximately 2 minutes to complete. Which inequality best represents the time Michael can spend practicing a combination of math and verbal questions? F Number of Turkeys over 40 lbs Handfuls of Corn Fed to each Turkey 1 4 2 6 3 8 4 10 Which equation best describes the relationship between h, the number of handfuls of corn, and t, the number of turkeys? F m⫹v<2 h ⫽ 4t G h⫽t⫹3 H h ⫽ 2t ⫹ 2 G 5(m ⫹ v) < 2 J h ⫽ 3t ⫹ 1 5. Bobby has $40 to spend at an amusement park. The table shows the price of each item he wants to spend money on. H 2m ⫹ 3v < 120 J Class 3m ⫹ 2v < 120 3. A toy rocket is launched straight down from a platform that is 100 feet tall. If the rocket falls at a constant rate of 15 feet per second for the first minute, which equation could be used to determine t, the time in seconds it will take the toy rocket to hit the ground? Items Price Hot Dogs $3.5 each Cans of Juice $2 each Ride Tickets $2.50 each If he buys one hot dog and one can of juice, which inequality best describes the total number of ride tickets, r that he can purchase? A 100 ⫽ 15t B 0 ⫽ 15t C 0 ⫽ 15t ⫹ 100 A r ⱕ 40 D 100 ⫽ 15 ⫹ t B 2.5r ⱕ 40 C r ⱕ 40 ⫺ (3.5 ⫹ 2) D 2.5r ⱕ 40 ⫺ (3.5 ⫹ 2) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_024-029.indd 24 24 Holt Mathematics Exit Exam 4/14/06 9:49:37 AM Name OBJECTIVE 4 Date Ready for TAKS? Benchmark Pre-Test (A.7)(B) 4. The table shows several solutions (x, y ) to the equation 2x ⫺ 3y ⫽ 14. 1. A student is solving the equation 7 ⫹ x ⫺ 2 ⫽ 4x ⫹ 3x ⫺ 5 . Which of the following strategies would be the BEST way to start this problem? x B Add 7 and 2. C Add 4x and 3x. x ⫺3 What is the missing value of x ? D Subtract 4x from both sides. F 2. What is the value of x if (x, 5) is a 2 x ⫹ 10? solution to the equation y ⫽ __ 3 2 ⫺__ 5 1 G __ 2 42 ___ H 1 5 G 10 J 10 H ⫺___ 3 J 7 y 14 ⫺ ___ 3 0 0 A Divide both sides of the equation by 7. F Class 5 __ 2 5. What is the solution to the statement “the product of 5 and the quantity x decreased by 10, is 40?” 15 ⫺___ 2 A 6 3. Each of the points on the line is a solution to the equation ⫺6x ⫹ 3y ⫽ 3. B 10 C 18 y D 45 (2, y ) (0, 1) x (–4, –7) What is the missing value of y ? A 3.5 B 4 C 4.5 D 5 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_024-029.indd 25 25 Holt Mathematics Exit Exam 4/14/06 9:49:38 AM Name OBJECTIVE 4 Date Class Ready for TAKS? Benchmark Pre-Test (A.7)(C) 1. The cost of renting a circular saw at a hardware store is described by the function f (x ) ⫽ 25x ⫺ 10 in which f (x ) is the cost and x is the time in days. If Mr. Lewis has $200 to spend, what is the maximum number of days that he can rent a saw if tax is not considered? 4. The graph of the linear inequality 5x ⫺ 3y ⬍ 4 is shown. y 8 6 4 2 –8 A 5 days –6 –4 –2 2 4 6 8 –2 B 6 days x –4 –6 C 7 days –8 D 8 days Which point is in the solution set to the inequality 5x ⫺ 3y ⬍ 4? 2. The dance committee at a high school is trying to raise money for homecoming by holding car washes throughout the fall. They decide to charge $17 per wash, inside and out. If the committee wants to raise at least $2,500, what is a reasonable number of cars they must wash? F F G (⫺2, ⫺5) H (0, 5) 100 cars J G 150 cars H 200 cars J (3, 1) 1, 3__1 5. The graph of the linear inequality 4 x ⫹ 1 is shown. y ⱖ __ 5 250 cars 3. Matt purchased x baseball cards at 75¢ each and y boxes of raisins at $1.25 each. He spent less than $20, not including tax. The number of items he purchased can be described by the linear inequality 0.75x ⫹ 1.25y ⬍ 20. If Matt purchased 9 baseball cards, what is the maximum number of boxes of raisins he could have purchased? y 8 6 4 2 –8 –6 –4 –2 2 4 6 8 –2 x –4 –6 –8 A 10 boxes B 11 boxes Which point is NOT in the solution set 4 x ⫹ 1? of y ⱖ __ 5 C 12 boxes D 13 boxes Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_024-029.indd 26 26 A (1, 5) B (3, 2) C (⫺4, 2) D (⫺1, ⫺4) Holt Mathematics Exit Exam 4/14/06 9:49:38 AM Name OBJECTIVE 4 Date Ready for TAKS? Benchmark Pre-Test (A.8)(A) 1. Meg has 25 pictures of her friends and her favorite singers on her wall. The number of pictures of singers is 5 less than the number of pictures of her friends. Which system of equations can be used to find the number of friend pictures, f, and the number of singer pictures, s, on her wall? A f ⫽ s ⫺ 25 s⫽f⫺5 B f ⫽ 25 ⫺ s s⫽5⫺f C f ⫽ 25 ⫺ s s⫽f⫺5 D f ⫽ s ⫺ 25 s⫽f⫹5 4. The diagram shows a right triangle. The measure of angle y is 10 degrees less than three times the measure of angle x. Which system of equations can be used to find the measure of each angle? x y F 2. Mrs. Crews is decorating her house. She bought a total of 18 lamps and vases. She bought twice as many lamps as vases. Which system of equations can be used to find the number of lamps, ᐉ, and the number of vases, v, she bought? F Class ᐉ ⫹ v ⫽ 18 ᐉ ⫽ 2v H ᐉ ⫹ v ⫽ 18 v ⫽ 2ᐉ 3. The length of a rectangle is 7 more than 3 times the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 80 inches? B 2(ᐉ ⫹ w ) ⫽ 80 ᐉ ⫽ 7 ⫹ 3w C ᐉ ⫹ w ⫽ 80 w ⫽ 7 ⫹ 3ᐉ D 2w ⫽ 80 ⫺ 2ᐉ ᐉ ⫽ 3 ⫹ 7w J x ⫽ 90 ⫺ y y ⫽ 3x ⫺ 10 5. The table shows the number of pizza slices and bags of popcorn sold at a movie theater before and after the show. 18 ⫺ v ⫽ ᐉ v⫽2⫹ᐉ A 2ᐉ ⫹ 2w ⫽ 80 w ⫽ 3 ⫹ 7ᐉ G x ⫹ y ⫽ 90 y ⫺ 10 ⫽ 3x H x ⫹ y ⫽ 90 y ⫽ 10 ⫺ 3x G 18 ⫺ ᐉ ⫽ v ᐉ⫽2⫹v J x ⫹ y ⫽ 90 x ⫽ 3y ⫺ 10 Before the Show After the Show Pizza Slices 18 15 Popcorn Bags 25 29 $181.75 $190.25 Total Sales If the price of a slice of pizza is represented by z and the price of a bag of popcorn is represented by c, which system of equations can be used to determine the price of each? A z ⫹ c ⫽ 43 18z ⫹ 25c ⫽ 181.75 B z ⫹ c ⫽ 44 15z ⫹ 29c ⫽ 190.25 C z ⫹ c ⫽ 87 z ⫹ c ⫽ 372 D 18z ⫹ 25c ⫽ 181.75 15z ⫹ 29c ⫽ 190.25 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_024-029.indd 27 27 Holt Mathematics Exit Exam 4/14/06 9:49:38 AM Name OBJECTIVE 4 Date Class Ready for TAKS? Benchmark Pre-Test (A.8)(B) 4. The graph shows the solution to which system of equations? 1. Ellen has 20 coins in nickels and dimes. She has 6 more dimes than nickels. The system of equations y x ⫹ y ⫽ 20 y⫽x⫹6 8 6 4 represents this situation if x is the number of nickels and y is the number of dimes. What is the solution to the system? 2 –8 –6 –4 2 –2 4 6 8 –2 x –4 –6 A (7, 13) –8 B (13, 7) F C (8, 12) D (6, 12) 3x ⫺ 4y ⫽ 0 G 3x ⫺ 4y ⫽ 0 ⫺3x ⫹ 4y ⫽ 24 3x ⫹ 4y ⫽ 24 H 3x ⫹ 4y ⫽ 0 3x ⫺ 4y ⫽ 24 2. Jamie has 25 coins in dimes and quarters. The coins are worth $4.15. The system of equations 5. The graph of the system of equations is shown. What is the solution to the system? d ⫹ q ⫽ 25 0.1d ⫹ 0.25q ⫽ 4.15 y represents this situation. If q represents the number of quarters Jamie has, what is the value of q ? F 8 6 4 2 11 –8 G 12 –6 –4 –2 2 –2 4 6 8 x –4 H 14 J 3x ⫹ 4y ⫽ 0 ⫺3x ⫹ 4y ⫽ 24 J –6 –8 15 3. What is the y-coordinate of the solution to the system of equations A (2, 2) B (2, 3) 6x ⫺ 3y ⫽ 6 2x ⫹ 3y ⫽ ⫺22 ? C (3, 2) A ⫺2 D (2, 4) B ⫺3 C ⫺4 D ⫺6 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_024-029.indd 28 28 Holt Mathematics Exit Exam 4/14/06 9:49:39 AM Name OBJECTIVE 4 Date Ready for TAKS? Benchmark Pre-Test (A.8)(C) 1. Ariel knits hats and scarves. She charges $15 per hat and $18 per scarf. One month she sold a total of 25 hats and scarves and earned $387. The system of equations 4. Gary wrote down a system of equations to solve, but part of the second equation got wet. The remaining part read 2x ⫹ y ⫽ 12 7x ⫺ ?y ⫽ ? x ⫹ y ⫽ 25 15x ⫹ 18y ⫽ 387 Which of the following is NOT a possible solution to the system regardless of what the missing numbers are? represents this situation. If the solution to the system is (9, 14), what does 14 represent? F H (4, 4) B the price per scarf J C the number of hats Ariel sold 2. Esther incorrectly solved the system of equations aebec 3x ⫹ y ⫽ 1 ⫺3x ⫺ y ⫽ 1 Her solution was (⫺1, 4). Why is this solution incorrect? f ⫹ t ⫽ 17 5f ⫹ 20t ⫽ 185 because 3(4) ⫹ (⫺1) ⫽ 1 Solve the system to determine which reason best describes why at least one of Aaron’s totals must be wrong. G because ⫺3(4) ⫺ (⫺1) ⫽ 1 H because 3(⫺1) ⫹ 4 ⫽ 1 A When you solve the system you get a negative number of $5 bills. because ⫺3(⫺1) ⫺ 4 ⫽ 1 3. Garth solved a system of equations 1, 3 . and found the solution to be __ 2 Which of the following could NOT have B When you solve the system you get a negative number of $20 bills. been the system Garth solved? C When you solve the system you get a fraction for both types of bills which is not possible. A 2x ⫺ y ⫽ ⫺2 4x ⫹ 2y ⫽ 8 B 4x ⫹ y ⫽ 5 y ⫺ 2x ⫽ 2 D There is no way to get a total of $185 using only $5 and $20 bills. C 6x ⫹ y ⫽ 6 y ⫽ 8x ⫺ 1 D y ⫽ 4x ⫹ 1 y ⫽ 2x ⫺ 4 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_024-029.indd 29 (10, ⫺8) 5. Aaron has a wallet full of 5- and 20dollar bills. He counted the number of each and found that he had a total of 17 bills. He then counted the total value of the bills and found that he had $185. The system of equations represents this situation. D the price per hat J (⫺2, 16) G (⫺6, 0) A the number of scarves Ariel sold F Class 29 Holt Mathematics Exit Exam 4/14/06 9:49:39 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Pre-Test (A.9)(B) 4. The graphs of two parabolas, P1 and P2, are shown. 1. What is the effect on the graph of the 2 equation y ⫽ ⫺4x when the equation is 2 changed to y ⫽ 4x ? y A The graph of y ⫽ 4x2 is translated 8 units up from the original graph. P1 P2 B The graph of y ⫽ 4x2 is translated 8 units down from the original graph. C The graph of y ⫽ 4x2 is a reflection of the original graph across the x-axis. x D The graph of y ⫽ 4x2 is a reflection of the original graph across the y-axis. 2. The graphs of two parabolas, P1 and P2, are shown. The coefficient of x2 in P1 is 1. Which of the following could be the coefficient of 2 x in P2? y P1 F 5 __ 4 H 1.1 4 G __ 5 x P2 兹2 J 5. The graph of the function y ⫽ 2x2 is given. If the equation of P1 is y ⫽ ax 2, what best describes the change to “a ” from P1 to P2? y 8 6 F the value of a becomes negative G 1 a changes to __ 4 2 a –8 –6 –4 –2 2 4 6 8 –2 1 __ H a changes to ⫺a x –4 –6 J the value of a remains the same –8 3. If the coefficient of x2 in the equation 2 y ⫽ ⫺3x is changed to ⫺6, what is the effect on the graph of y? B The graph will be narrower. If the graph is reflected across the y-axis and made wider, which of the following could be the equation of the new parabola? C The graph will be wider. A y ⫽ ⫺2x D The graph will be shifted left. 1x2 B y ⫽ __ 2 A The graph will be shifted up. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_030-035.indd 30 30 2 C y ⫽ ⫺x2 D y ⫽ ⫺4x2 Holt Mathematics Exit Exam 4/14/06 9:48:23 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Pre-Test (A.9)(C) 1. How do the graphs of the functions 2 2 f (x) ⫽ x ⫺ 9 and g(x) ⫽ x ⫹ 2 relate to each other? 4. The point (⫺2, 3) is the vertex of the parabola whose equation is f (x) ⫽ x2 ⫹ 4x ⫹ 7. What is the vertex of a parabola that has been shifted down 6 units? A The graph of f(x) is 7 units above the graph of g(x). F (⫺6, 3) G (⫺2, ⫺3) B The graph of f (x) is 11 units below the graph of g(x). H (⫺2, ⫺6) C The graph of f (x) is 7 units to the right of the graph of g(x). J (⫺8, 3) 5. When graphed, which function would appear to be the graph of f (x) ⫽ x2 ⫺ 2 shifted left 4 units? D The graph of f(x) is 11 units to the right of the graph of g(x). 2 2. If the graph of f (x) ⫽ x ⫹ 1 is translated down 6 units, which function represents the new graph? F f(x) ⫽ (x ⫹ 6) y 8 2 6 G f (x) ⫽ (x ⫺ 6)2 4 H f (x) ⫽ x2 ⫺ 5 2 J –8 f(x) ⫽ x2 ⫹ 6 –6 –4 –2 2 –2 3. The graph shows the function 2 f (x) ⫽ x ⫺ 4. 4 6 8 x –4 –6 y –8 8 6 A f (x) ⫽ (x ⫺ 4)2 ⫺ 2 4 B f (x) ⫽ x2 ⫹ 2 2 –8 –6 –4 –2 2 4 6 8 –2 C f (x) ⫽ (x ⫹ 4)2 ⫺ 2 x D f (x) ⫽ x2 ⫺ 6 –4 –6 –8 Which statement describes the translation of the parabola if the y-intercept is moved to y ⫽ 3? A 7 units down C 1 unit up B 1 unit down D 7 units up Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_030-035.indd 31 31 Holt Mathematics Exit Exam 4/14/06 9:48:24 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Pre-Test (A.9)(D) 1. Deb’s dirt bike speed is shown below. H The ball’s height increased for approximately 2 seconds. y J 8 6 3. A company’s weekly profit is given by the 2 function P(x) ⫽ ⫺80x ⫹ 800x ⫹ 15,000, where x is the number of machines produced. The graph of P(x) is shown. 4 2 –8 –6 –4 –2 2 4 6 x 8 –2 The height of the baseball was 6 feet when it was thrown. y Profit ($) 18000 Which best describes Deb’s speed? A Went down a hill and then back up. 16000 14000 12000 1 B Speed increased, reached a peak, and then decreased. 5 6 7 8 x 9 A The maximum weekly profit is approximately $17,000. B The profit continues to increase regardless of machine produced. 2. The graph shows the height, h, in feet of a baseball versus the time, t, in seconds, after the ball is thrown. C The company can produce at most 5 machines and still make a profit. D Maximum profit comes by producing approximately 19 machines. y 22 20 4. The graph shows the number of teenagers, T (in thousands) in a city that bought a portable music player x years after 2000. 18 16 14 12 10 y 8 Number of Players Height (in feet) 4 What conclusion can be made? D Slowed down, came to a stop, and then sped up. 6 4 2 1 2 3 4 5 6 7 8 9 x 150 100 50 2 3 4 5 6 7 8 x Time (in years) What conclusion can be made? How many thousands of teenagers bought a portable music player in 2004? The ball reached its maximum height after 20 seconds. F G The ball was in flight for 3 seconds. Copyright © by Holt, Rinehart and Winston. All rights reserved. 200 1 Time (in seconds) AGA07_RTAKS11_030-035.indd 32 3 Number of Machines C Slowed down and then went backwards. F 2 4 G 7 32 H 61 J 83 Holt Mathematics Exit Exam 4/14/06 9:48:25 AM Name Date Ready for TAKS? OBJECTIVE 5 Benchmark Pre-Test (A.10)(A) 4. If a rock is dropped from the top of a building that is 150 feet high, the height of the rock above the ground t seconds later (neglecting air resistance) is given 2 by the equation h ⫽ 150 ⫺ 16t where h is the height in feet. What is the height of the rock after 2.5 seconds? 1. The factored form of a quadratic equation is (9x ⫺ 3)(2x ⫹ 4). What are the solutions of the quadratic equation? A x ⫽ 3 and x ⫽ ⫺4 B x ⫽ 3 and x ⫽ ⫺2 C Class F 1 and x ⫽ ⫺2 x ⫽ __ 3 ft G 50 ft 3 H 70 ft 1 and x ⫽ ⫺__ 1 D x ⫽ __ 3 2 J 110 ft 2 2. Solve. 3x ⫽ 20x ⫺ 12 F 5. Sketch the graph of the equation in question 4 on the grid provided and find the approximate number of seconds it takes the object to hit the ground. 4 and ⫺3 ⫺__ 3 2 and 6 G ⫺__ 3 y 2 and 6 H __ 3 J 8 6 4 and 3 __ 4 3 2 3. Which of the following are solutions to 2 the equation 3x ⫹ 2x ⫽ 5 ⫺ x? –8 –6 2 4 6 8 x –4 –6 5 B x ⫽ ⫺1 and x ⫽ __ 3 –8 ⫹ i兹51and x ⫽ ⫺3 ⫺ i兹51 __________ __________ C x ⫽ ⫺3 6 6 –2 –2 1 A x ⫽ 5 and x ⫽ ⫺__ 3 –4 A 2 sec ⫹ 兹69and x ⫽ ⫺3 ⫺ 兹69 _________ _________ D x ⫽ ⫺3 6 6 B 2.5 sec C 3 sec D 3.5 sec Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_030-035.indd 33 33 Holt Mathematics Exit Exam 4/14/06 9:48:25 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Pre-Test (A.10)(B) 4. One of the factors of the quadratic equation 0 ⫽ 3x2 ⫺ 11x ⫹ 10 is (x ⫺ 2) which produces a root of 2. What is the other root of the equation? 1. What are the roots of the quadratic 2 equation 2x ⫺ 16x ⫺ 96 ⫽ 0? A ⫺4 and 12 B ⫺4 and ⫺12 F C 4 and 12 D 4 and ⫺12 ⫺2 5 G ⫺__ 3 2. What are the roots of the function graphed? 5 H __ 3 y J 18 2 16 14 5. The graph shows the roots of a quadratic equation. 12 10 8 y 6 4 2 –14–12 –10 –8 –6 –4 –2 –2 2 4 6 8 10 12 14 x –4 –6 –4 –8 2 x –10 –12 –14 –16 –18 F Which of the following could NOT be the equation? (1, ⫺16) and (0, ⫺15) G (⫺3, 0) and (5, 0) A x2 ⫹ 4x ⫺ 5 ⫽ 0 H (0, ⫺3) and (0, 5) J B ⫺2x2 ⫺ 8x ⫹ 10 ⫽ 0 (3, 0) and (⫺5, 0) C 3x2 ⫹ 12x ⫺ 15 ⫽ 0 3. If x ⫽ ⫺2 is a root of the equation ax2 ⫹ 2x ⫹ ax ⫺ 6 ⫽ 0, what is the value of a? D 4x2 ⫹ 8x ⫺ 32 ⫽ 0 A 5 B ⫺2 C ⫺3 D ⫺10 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_030-035.indd 34 34 Holt Mathematics Exit Exam 4/14/06 9:48:25 AM Name Date OBJECTIVE 5 Class Ready for TAKS? Benchmark Pre-Test (A.11)(A) 4. The area of the rectangle shown is 52m9n3 square units. If the length of the 3 4 rectangle is 8m n units, how many units wide is the rectangle? (m ⫽ 0 and n ⫽ 0) 1. Which expression represents the area of the triangle shown? 5xy 8 6x 5 y 4 2x 2y 3x 4y 6 A 3x6y7 8m 3n 4 7 5 B 6x y 6 F 9 10 C 9x y D 15x6y12 13m _____ 2n G 44m6n 2. Which expression is equivalent 2 ⫺3 ⫺1 13m6n H ______ 2 28x y z to _________ ? 5 7 24x y 3 F 7x3y4 _____ 6z G 4z ____ J 13m _____ 2n 5. The table shows several values of r and s. x3y10 4 H _____ 3 10 xy z 7 ______ J s 2x 8x4 2 27x 3x 3 10 6x y z 3. Which expression is equivalent to 3 r 4x3 7 64x10 3 4x ⫺ 3x ________ Which of these best describes the relationship between r and s? 7 (2x )(3x)? 1 A ___ 6x5 C x5 A s ⫽ 4xr x5 B __ 6 ⫺ x2 ______ D 2 x4 B s ⫽ r4 C s ⫽ xr3 D s ⫽ 2r2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_030-035.indd 35 35 Holt Mathematics Exit Exam 4/14/06 9:48:26 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Pre-Test (G.4)(A) 1. Which expression can be used to determine the total area of the composite figure shown? 4. What is the point of intersection of the diagonals of the parallelogram whose vertices are A(3, 6), B(4, 3), C(⫺2, 0), and D(⫺3, 3)? ᐉ y 6 w 4 2 w2 A ᐍw ⫹ __ 4 –6 –4 F G 2. The measure of one interior angle in an isosceles triangle is 90°. What are the measures of all three interior angles? x 2__1, 2__3 2__1, 3 H (1, 3) 90°, 90°, and 90° J G 90°, 90°, and 180° 3, 2__1 5. A quarter of a circle is inscribed in a square with sides of length s as shown. H 30°, 60°, and 90° 45°, 45°, and 90° 3. Mr. Smith had a square garden with sides of length 12 feet. He redesigned his garden in the shape of a circle and used all the fencing from the old garden to make the new garden. What is the approximate diameter of the new garden? s Which expression represents the area of the shaded region? A 3.8 ft B 7.6 ft 3s2 A ___ 4 C 15.3 ft B s2 1 ⫺ __ 4 D 37.7 ft AGA07_RTAKS11_036-041.indd 36 6 –6 D 2ᐍ ⫹ w Copyright © by Holt, Rinehart and Winston. All rights reserved. 4 –4 C ᐍw ⫹ w2 J 2 –2 w2 B ᐍw ⫹ __ 2 F –2 36 C s2(1 ⫺ ) s D s2 ⫺ __ 4 Holt Mathematics Exit Exam 4/14/06 9:48:37 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Pre-Test (G.5)(A) 1. If the measure of angle ABC in the figure is n°, which of the following expressions represents the measure of angle BCD in degrees? A 4. The regular polygons shown form a pattern. B P = 3 cm C E P = 8 cm P = 15 cm P = 24 cm If P represents the perimeter of the figure, what is the value of P for the sixth figure in this pattern? D A n F B 90 ⫺ n G 42 cm C 180 ⫺ n H 48 cm D 270 ⫺ n J 2. A square is inscribed inside a circle with radius r. Which expression represents the area of the square? 35 cm 56 cm 5. David starts at the center of town and travels due north for w miles. He then travels due east for x miles. After resting for a few minutes, he travels due north again for y miles and finally due east again for z miles. The diagram represents David’s path. r z F r2 y 2 G 2r H 4r2 J x 8r2 3. If the length of the hypotenuse of a 30°, 60°, 90° triangle is 4x, which expression represents the perimeter of the triangle? w A 2x Which expression represents the number of miles David is from his starting point? B 2 3 x C 6x ⫹ 23 x 2 A w⫹x⫹y⫹z D 8 ⫹ 2 3 x B w 2 ⫹ x2 ⫹ y2 ⫹ z2 C D Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_036-041.indd 37 37 w2 ⫹ x2 ⫹ y2 ⫹ z2 w2 ⫹ x2 ⫹ y2 ⫹ z2 Holt Mathematics Exit Exam 4/14/06 9:48:37 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Pre-Test (G.5)(B) 4. The measure of one angle of a right trapezoid is 70°. Which of the following could be the measure of one of the other angles? 1. In the figure shown, line l is parallel to line m. ᐉ x 140° m What is the value of x? F A 30° 80° G 100° B 40° H 110° C 50° J D 60° cannot be determined 5. The diagonals of parallelogram ABCD intersect at point P. 2. The figure shows the first three stages of a fractal. C B P A How many unshaded triangles will the nth stage of this fractal contain? F Which statement is NOT correct? 3n⫺1 _ _ _ _ _ _ _ _ A BP PD G 3n ⫺ 1 B BC AD H 3n ⫺ 1 J D C AP PC 3(n ⫺ 1) D BP AP 3. What is the measure of each exterior angle of a regular decagon? A 36° B 144° C 360° D 1440° Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_036-041.indd 38 38 Holt Mathematics Exit Exam 4/14/06 9:48:38 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Pre-Test (G.5)(C) 1. Which of the following shapes CANNOT be used to generate a tessellation of a plane surface? 3. A pure tessellation is a tessellation that consists of congruent copies of one figure. Which of the following series of compositions of transformations could NOT result in a pure tessellation given the right figure? A A multiple rotations followed by multiple glide reflections B multiple rotations followed by multiple translations B C multiple rotations followed by multiple dilations D multiple glide reflections followed by multiple translations 4. Which of the following compositions of transformations would move the triangle completely into quadrant IV? C y 10 D 8 (0, 9) 6 4 2 (–3, 1) –10 –8 –6 –4 –2 2. Which of the following statements is true? F 8 10 x –8 –10 a reflection across the x-axis followed by a reflection across the y-axis 1 G a reduction by a scale factor of __ 3 followed by a reflection across the x-axis 1 H a reduction by a scale factor of __ 3 followed by a translation to the right 2 units 1 J a reduction by a scale factor of __ 3 followed by a translation to the right 2 units and then a reflection across the x-axis. F H Neither reflections nor rotations result in congruent figures. AGA07_RTAKS11_036-041.indd 39 6 –6 Both reflections and dilations result in congruent figures. Only dilations do not result in congruent figures. Copyright © by Holt, Rinehart and Winston. All rights reserved. 4 –4 G Neither reflections nor dilations result in congruent figures. J –2 (6, 1) 2 39 Holt Mathematics Exit Exam 4/14/06 9:48:38 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Pre-Test (G.5)(D) 4. A skateboarding ramp rises from the ground at a 30° angle. If the ramp covers 20 feet on the ground, how long is the inclined surface of the ramp? 1. Which is the best approximation of the perimeter of a right isosceles triangle if its hypotenuse is 12 units long? A 8.5 units B 20.5 units C 24 units D 29 units 2. Find the area of triangle ABC. 30° 20 ft F 10 ft 203 ft G _____ 3 45° F J 40 ft 5. Mark is flying a kite. The angle of elevation from Mark’s hand, which is 4 feet off the ground, to the kite is 60°. If the kite is 44 feet off the ground, approximately how many feet of string has Mark let out? 25 ft2 G 30 ft2 H 50 ft2 J 403 ft H _____ 3 10 3 ft 100 ft2 3. The area of square ABCD is 400 units. B C A D 60° _ What is the approximate length of AC ? 4 A 20 units B 28 units A 20 ft C 50 ft C 40 units B 46 ft D 80 ft D 100 units Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_036-041.indd 40 40 Holt Mathematics Exit Exam 4/14/06 9:48:38 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Pre-Test (G.10)(A) 1. Figure EFGH is shown on the coordinate plane. 3. Triangle A⬘B⬘C⬘ is the result of performing a transformation on triangle ABC. Which could NOT be the transformation if the two triangles are congruent? y 10 A a reflection 8 6 4 2 –10 –8 –6 –4 –2 E F G H 2 –2 4 6 8 B a translation C a rotation 10 x D a dilation –4 4. What are the coordinates of the image of M if triangle MNP is translated up 3 units and then reflected across the x-axis? –6 –8 –10 y Which transformation creates an image with a vertex of (⫺2, ⫺1)? 10 8 6 A Rotate the figure 90° around vertex E 4 2 B Reflect the figure across the x-axis and then across the y-axis. –10 –8 –6 –4 –2 C Reflect across the line x ⫽ 1. F 6 2 4 6 8 10 H (⫺1, 5) J (1, 5) second dilation by a factor of 2 x B a reflection across the line x ⫽ 2 and 1 then a dilation by a factor of __ 2 2 and then a C a dilation by a factor of __ 3 3 second dilation by a factor of __ 2 –6 –8 –10 (0, 3), (6, 3), and (6, 8) D a translation up 2 units and then a 1 dilation by a factor of __ 2 G (0, 3), (0, ⫺3), and (6, ⫺3) H (3, 0), (8, 0), and (8, 5) (3, 0), (3, ⫺5), and (9, 0) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_036-041.indd 41 x A a dilation by a factor of 2 and then a 2 –4 J 10 5. Which of the following compositions would result in congruent figures? 4 F (1, ⫺5) G (⫺5, 1) 8 –2 8 –8 y –10 –8 –6 –4 –2 6 –10 10 M 4 P –6 2. Which coordinates are the vertices of a triangle congruent to triangle LMN? L 2 –4 D Translate the figure to the left 4 units and then down 1 unit. N –2 N M 41 Holt Mathematics Exit Exam 4/14/06 9:48:39 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Pre-Test (G.6)(B) 1. What three-dimensional figure does the net represent? 3. If the net shown is folded into a cube, what letter is on the face of the cube opposite the face labeled D? F C B A C A D D E B A A E B B C C D F A cone 4. Which of the following is a true statement about the net of the cube shown? B triangular pyramid C triangular prism D square pyramid J 2. Which of the following nets could NOT be used to form a cube? K M N O L F F Faces O and N are parallel. G Faces O and K are parallel. G H Faces N and K are perpendicular. J Faces M and K are perpendicular. 5. The net of a cylinder is composed of which of the following? H A two congruent rectangles and a circle J B two congruent circles and a rectangle C two congruent circles and an equilateral triangle D two congruent circles and a right triangle Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_042-047.indd 42 42 Holt Mathematics Exit Exam 4/14/06 9:48:49 AM Name Date OBJECTIVE 7 Class Ready for TAKS? Benchmark Pre-Test (G.6)(C) 4. What is the volume of a threedimensional object whose different views are shown? Use the net to answer questions 1⫺3. The top, side, and front views of an object built with cubes are shown. Side View 4 ft Top View 3 ft 7 ft 7 ft Side View 4 ft 7 ft Front View 4 ft Front View 7 ft 1. What is the maximum number of cubes in any one row or column? A 3 Top View B 4 F 84 ft3 C 8 G 196 ft3 D 12 H 280 ft3 2. How many cubes are needed to construct this object? F J 434 ft3 5. Which of the following is the right view of the three-dimensional solid shown? 7 G 11 H 13 J 17 3. If the length of each side of each cube is 2 centimeters, what is the total volume of the object? Front A 56 cm3 B 88 cm3 Right A B C D C 104 cm3 D 136 cm3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_042-047.indd 43 43 Holt Mathematics Exit Exam 4/14/06 9:48:49 AM Name Date Class Ready for TAKS? OBJECTIVE 7 Benchmark Pre-Test (G.7)(A) 3. Point P has coordinates (2, 5). If Point P is translated down 3 units and to the left 4 units, and then reflected across the x-axis, what are the coordinates of the new point? 1. Which ordered pair could represent the fourth vertex of a trapezoid if the other three vertices are (4, ⫺1), (⫺1, 1), and (⫺2, ⫺3)? y y x x A (0, ⫺1) A (⫺2, ⫺2) B (2, 2) B (⫺2, 2) C (1, 5) C (2, ⫺2) D (3, 1) D (2, 2) 2. If quadrilateral ABCD is rotated 270° counterclockwise around the origin, in which quadrant will point A appear? 4. A hexagon is graphed on the grid. y y D A x x C F B What is the equation of the line of symmetry that passes through (⫺4, 1)? I x ⫽ ⫺4 G II F H III G x⫽1 IV H y⫽1 J J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_042-047.indd 44 44 y ⫽ ⫺4 Holt Mathematics Exit Exam 4/14/06 9:48:50 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Pre-Test (G.7)(B) 4. Line ᐉ is the perpendicular bisector _ of AB . What is the slope of line ᐉ? 1. Which two lines are parallel? A 3x ⫹ 5y ⫽ 7 and 5x ⫹ 3y ⫽ ⫺2 y B 3x ⫹ 2y ⫽ 9 and 6x ⫹ 4y ⫽ ⫺2 C 2x ⫹ 7y ⫽ 8 and ⫺2x ⫹ 7y ⫽ ⫺11 8 D 5x ⫹ 4y ⫽ 12 and 10x ⫺ 8y ⫽ 20 6 A 4 2. Which equation describes a line parallel to the line graphed? 2 B –8 y –6 –4 –2 2 –2 8 –4 6 –6 4 –8 4 6 8 x 2 –8 –6 –4 –2 2 –2 4 6 8 x F –4 5 G ⫺__ 4 –6 –8 F 4 H __ 5 3x ⫺ 3 y ⫽ ⫺__ 2 J 5 __ 4 5. Segments of the lines y ⫽ 3x ⫺ 4 and y ⫽ mx ⫹ 1 form opposite sides of a parallelogram. What is the value of m in the second equation? 2x ⫺ 5 G y ⫽ ⫺__ 3 2x ⫹ 1 H y ⫽ __ 3 J 4 ⫺__ 5 A ⫺3 3x ⫹ 4 y ⫽ __ 2 B 3 3. Which of the following best describes the graphs of the lines y ⫽ 5 ⫺ 3x and 6y ⫽ 2x ⫹ 5? 1 C ⫺__ 3 A The lines have the same x-intercept. 1 D __ 3 B The lines have the same y-intercept. C The lines are parallel to each other. D The lines are perpendicular to each other. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_042-047.indd 45 45 Holt Mathematics Exit Exam 4/14/06 9:48:50 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Pre-Test (G.7)(C) _ 1. What is the approximate length of AB shown? _ 3. PQ is a diameter of the circle shown. What are the exact coordinates of the center of the circle? y y 8 6 P B 4 2 –8 –6 –4 –2 2 4 6 8 –2 A x x –4 Q –6 –8 A (0, 0) A 4.1 units B B 2.2 units C 12.0 units C D 12.2 units D 2. The parallelogram shown has two vertices as indicated. The diagonals of the parallelogram intersect at point X. 0, 2__1 0, ⫺2__1 0, ⫺3__2 4. What is the area of the circle whose diameter has endpoints (0, ⫺6) and (8, 0)? (–3, 2) F 25 units2 G 36 units2 H 64 units2 X J (5, –6) 100 units2 5. What is the distance between (4, 5) and (⫺2, ⫺3)? Which of the following are the coordinates of X ? A 2 2 (⫺4, 4) B 10 G (1, ⫺2) C 14 H (2, ⫺4) D 100 F J (⫺2, 1) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_042-047.indd 46 46 Holt Mathematics Exit Exam 4/14/06 9:48:50 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Pre-Test (G.9)(D) 4. Which statement is true about the threedimensional figure shown? 1. How many faces, edges, and vertices does the three-dimensional figure shown have? F A 4 faces, 6 edges, and 4 vertices B 5 faces, 8 edges, and 5 vertices The figure has more faces than vertices. G The figure has the same number of faces as vertices. C 5 faces, 9 edges, and 6 vertices D 6 faces, 12 edges, and 8 vertices H The figure has more edges than vertices. 2. What is the sum of the number of faces of the two three-dimensional figures shown? J The figure has the same number of edges as vertices. 5. What is the sum of the number of faces, edges, and vertices of the threedimensional figure shown if the base of the figure is a rhombus? F 11 G 14 H 18 J A 14 21 B 18 3. Which of the following three-dimensional figures has twice as many edges as it has faces? C 20 D 26 A a square pyramid B a triangular pyramid C a triangular prism D a rectangular prism Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_042-047.indd 47 47 Holt Mathematics Exit Exam 4/14/06 9:48:51 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Pre-Test (G.8)(A) 1. What is the area of a square that has one of its sides with endpoints at (⫺2, 3) and (0, 5)? 4. Which best represents the approximate area of the composite figure shown? 10 ft A 兹8 units2 B 4兹 8 units2 4 ft C 8 units2 D 16 units2 45° 2. The figure shown is a regular octagon. Which expression shows the area of the figure? F 60° 52.0 ft2 G 52.6 ft2 H 56.0 ft2 5 J 61.9 ft2 5. If the two shaded triangles are congruent, what is the area of the portion of the rectangle that is NOT shaded? x⫹2 12 cm F 20x ⫹ 40 G 5x ⫹ 10 15 cm H 40x ⫹ 80 J 8x ⫹ 80 30 cm 3. A circle with a diameter of 8 centimeters is inscribed in a square. What is the area of the square? A 540 cm2 B 450 cm2 A 64 ⫺ 16 cm2 C 270 cm2 B 32 cm2 D 180 cm2 2 C 16 cm D 64 cm2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_048-055.indd 48 48 Holt Mathematics Exit Exam 4/14/06 9:50:10 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Pre-Test (G.8)(B) 4. What is the approximate length of arc ABC? Use the diagram to answer questions 1 and 2. A portion of a circular playground is to be fenced off for pets. A Area to be fenced for pets 25 ft 12 100° C 135° B F 20.9 units G 54.5 units 1. What is the approximate area of the portion of the playground to be used for pets? H 75.4 units J A 29 ft2 326.7 units 5. The area of the shaded section in the circle shown is 18. What is the value of x ? B 736 ft2 C 1,277 ft2 D 1,963 ft2 2. If a 6-foot chain-link fence is to be put around the entire portion of the park that is to be used for pets, about how many feet of fence is needed? F 18 x° 59 ft G 69 ft H 109 ft J A 20° 185 ft B 25° 3. A grandfather clock has a circular face whose diameter is 18 inches. The face is divided into 12 congruent sections, which have alternating colors. What is the approximate area of each section? C 30° D 35° A 0.8 in2 B 8.5 in2 C 21 in2 D 85 in2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_048-055.indd 49 49 Holt Mathematics Exit Exam 4/14/06 9:50:11 AM Name Date OBJECTIVE 8 Ready for TAKS? Benchmark Pre-Test (G.8)(C) 4. A door is 3 feet wide and the diagonal length across the door is 7 feet. If Mr. Peterson is buying a special type of weather stripping to go around the four edges of the door, about how many feet of the stripping does he need? 1. Jake’s house is 5 miles due north of Sarah’s house and 8 miles due west of Mary’s house. What is the approximate straight line distance from Sarah’s house to Mary’s house? A 6.2 mi F B 8.0 mi 6.3 ft G 9.3 ft C 9.4 mi H 18.6 ft D 13.0 mi J 2. What is the area of the triangle that has vertices at the points (2, ⫺5), (2, 3), and (5, 3)? F Class 12 units2 5. A rectangle is inscribed in a circle as shown. G 15 units2 H 24 units2 J 20.0 ft If the length and width of the rectangle are 5 and 11 inches respectively, what is the approximate circumference of the circle? 30 units2 3. A mailman travels from his home to the Post Office and then to the Government Building as shown in the figure. Home 25 mi Government Building 9 mi A 50 in. Post Office B 38 in. C 25 in. If he travels straight back home from the Government Building, about how much shorter is this trip than the one from his home to the Government Building via the Post Office? D 12 in. A The distances are the same. B 2 mi C 11 mi D 23 mi Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_048-055.indd 50 50 Holt Mathematics Exit Exam 4/14/06 9:50:12 AM Name Date OBJECTIVE 8 Class Ready for TAKS? Benchmark Pre-Test (G.8)(D) 1. In the rectangular prism, AB ⫽ 6 cm, 1BC. BC ⫽ 12 cm, and DC ⫽ __ 3 3. If the edge of a cube is 10 inches and the edge of a smaller cube is 8 inches, what is the difference in the surface areas of the two cubes? D A 600 in2 B 488 in2 C C 384 in2 D 216 in2 A B 4. A balloon for a parade is being sewn from a special form of spandex. If the balloon will be in the shape of a sphere with a diameter of 15 feet, about how much spandex is required to make the balloon? What is the volume of the prism? A 288 cm3 B 215 cm3 C 144 cm3 F D 24 cm3 177 ft2 G 707 ft2 2. The figure is a rectangular prism topped by a pyramid. What is the approximate volume of the figure? H 1,767 ft2 J 2,827 ft2 5. Approximately how much grain can the conical grain bin hold? 8 2m 6 2 F 4 5m 7 units3 G 20 units3 A 50 m3 H 112 units3 J B 21 m3 240 units3 C 10 m3 D 5.4 m3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_048-055.indd 51 51 Holt Mathematics Exit Exam 4/14/06 9:50:12 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Pre-Test (G.11)(A) 1. If 䉭ABC is similar to 䉭XYZ, which proportion is NOT true? 4. There are two pentagons, ABCDE and FGHIJ. If the ratios given are true, which is the correct way to write the similarity between the two pentagons? BC ⫽ ___ AC A ___ YZ XZ AC ⫽ ___ DE and ___ EB AB ⫽ ___ ___ AB ⫽ ___ XY B ___ YZ BC IH F AC ⫽ ___ YZ C ___ XZ BC FG IJ HG ABCDE ⬃ FGHIJ G ABCDE ⬃ HIJFG H ABCDE ⬃ IGJFH AC ⫽ ___ AB D ___ XZ XY J 2. A rectangular prism is shown. If a second prism is similar to the one shown, which of the following could be the dimensions of the second prism? ABCDE ⬃ IHJFG 5. The two photos shown are similar rectangles. The perimeter of the smaller photo is 14 centimeters and its area is 10 square centimeters. If the perimeter of the larger photo is 42 cm, what is the area of the larger photo? 9 ft 3 ft F 12 ft 1 ft by 3 ft by 4 ft G 2 ft by 8 ft by 11 ft A 3 cm2 H 6 in. by 18 in. by 22 in. B 30 cm2 6 ft by 12 ft by 15 ft C 38 cm2 J D 90 cm2 3. Which of the following would prove that quadrilateral ABCD is similar to quadrilateral WXYZ ? A The sum of the angles of both quadrilaterals is 360°. B Each angle in both quadrilaterals has a measure of 90°. C The ratio of AB to CD is the same as the ratio of WX to YZ. D None of these. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_048-055.indd 52 52 Holt Mathematics Exit Exam 4/14/06 9:50:12 AM Name Date OBJECTIVE 8 Class Ready for TAKS? Benchmark Pre-Test (G.11)(B) _ _ 4. Use the diagram to find the value of x if both triangles are right triangles and the top angles of the two triangles are equal. 1. If AB is parallel to CD in the diagram, _ what is the approximate length of OD ? C A 5 6 B O 8 x 7 6 8 40 D 30 A 6.7 units F B 7.0 units G 32 C 9.0 units H 38 D 9.3 units J 53.3 _ _ F _ 5. BE is_ parallel to CD . The length of AB is 4, CB is 16, and the perimeter of triangle ABE is 20. 2. A triangle has a base of length 20 units and a perimeter of 66 units. If a similar triangle has a base of 15 units, what is its perimeter? A 49.5 units G 51 units B H 56 units J 61 units 3. Triangle ABC with vertices A(2, 3), B(2, 6), and C(4, 6) is similar to triangle DEF with vertices D(6, 9), E(6, 24), and F. Which of the following could be the coordinates of F ? C A 24 units B 36 units B (12, 18) C (⫺6, ⫺24) C 80 units D (⫺4, ⫺18) D 100 units Copyright © by Holt, Rinehart and Winston. All rights reserved. D What is the perimeter of triangle ACD ? A (⫺4, 24) AGA07_RTAKS11_048-055.indd 53 E 53 Holt Mathematics Exit Exam 4/14/06 9:50:12 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Pre-Test (G.11)(C) 4. Which of the ratios is equivalent to tan A? 1. Use the diagram to find the value of x. A 6 5 2 4 x A 6 C B 8 C 9 兹 21 ____ F D 10 2 3 2 2 G ____ 21 兹 2. Which theorem justifies the statement that the two triangles shown are similar? F B 2 H __ 5 4 5 __ 2 J 5. Use a trigonometric ratio to find the value of x in the triangle. (Round to the nearest tenth.) 6 SSS G SSA H SAS J x AAA 42° 3. Which set of three integers could be a Pythagorean Triple? 5 A a ⫽ 3, b ⫽ 5, and c ⫽ 8 A 0.2 B a ⫽ 4, b ⫽ 5, and c ⫽ 8.6 B 3.3 C a ⫽ 8, b ⫽ 15, and c ⫽ 22 C 3.7 D a ⫽ 20, b ⫽ 48, and c ⫽ 52 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_048-055.indd 54 D 4.5 54 Holt Mathematics Exit Exam 4/14/06 9:50:13 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Pre-Test (G.11)(D) 4. The two cylinders shown are similar. The lateral areas of the cylinders are 196 square centimeters and 324 square centimeters. 1. Rebecca’s old rectangular suitcase is 12 inches wide, 20 inches long, and 6 inches tall. Her new suitcase has dimensions that are double her old one. By how much did the volume of her suitcase increase when she bought the new one? A twice B 4 times C 6 times D 8 times The volume of the smaller cylinder is 686 cubic centimeters. What is the volume of the larger cylinder? 2. The circumference of a circle is 3 times the circumference of a smaller circle. If the area of the larger circle is 1,350 square inches, what is the area of the smaller circle? F 50 in F G 882 cm3 2 H 1,134 cm3 2 G 150 in J 2 H 450 in J 814 cm3 1,458 cm3 5. A glass paperweight shaped like a pyramid has a volume of 4 cubic centimeters. What is the volume of a similarly shaped paperweight if each dimension is three times as large as the smaller paperweight? 1,350 in2 3. The figures shown represent the faces of two cubes. If Pete knows the volume of the cube on the left how can he get the volume of the cube on the right? A 108 cm3 B 64 cm3 C 36 cm3 x 3x D 12 cm3 A Multiply the volume by 3. B Multiply the volume by 9. C Multiply the volume by 27. D Cube the volume. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_048-055.indd 55 55 Holt Mathematics Exit Exam 4/14/06 9:50:13 AM Name OBJECTIVE 9 Date Class Ready for TAKS? Benchmark Pre-Test (8.3)(B) 4. The circle graph shows the distribution of the ages of 250 people at an art exhibit. 1. There are 218 seniors and 182 juniors at a local high school. Only 65% of those students signed up to go to the prom. How many of the juniors and seniors did NOT sign up to go to prom? 30% Under 25 A 400 B 260 70% Over 25 C 140 D 35 2. A cylindrical grain bin is being filled. The height of the grain bin is 20 feet and the diameter of its base is 10 feet. After the first 10 minutes, the height of the grain in the bin is 1 foot. At this rate, what will be the volume of the grain in the bin after one half hour? Of the people under the age of 25, 20% are younger than 16. How many people at the art exhibit are younger than 16? F 6 G 15 H 50 10⬘ J 75 5. The number of cars entering a car wash between certain times is shown in the bar graph. About what percent of the total number of cars entered the park after 4 PM? 20⬘ 100 75 ft Number of Cars F 3 3 G 50 ft H 75 ft3 J 300 ft3 3. Elena answered 82% of the questions on her history test correctly. If she missed 9 questions, how many questions were there on the test? 75 50 25 0 8AM to Noon 12 to 4PM 4 to 8PM 8 to Midnight A 0% A 18 B 25% B 41 C 50% C 50 D 75% D 91 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_056-061.indd 56 56 Holt Mathematics Exit Exam 4/14/06 9:51:27 AM Name OBJECTIVE 9 Date Class Ready for TAKS? Benchmark Pre-Test (8.11)(A) 1. A new toy store is giving away 20 model airplanes: 9 are red, 6 are white, and 5 are blue. An airplane is selected at random and given to a customer. If the airplane is red, what is the probability that the next airplane, selected at random, is also red? 4. Each of the smaller squares inside the larger square shown is the same size. If the diagram represents a dart board, what is the probability of hitting a shaded square, assuming the board is hit? 8 A ___ 20 8 B ___ 19 9 C ___ 20 D F 9 ___ G 0.52 19 H 0.56 2. If 2 balls are drawn simultaneously at random from a box containing 5 red balls, 3 white balls, and 4 blue balls, what is the probability that both balls are white? F J J 0.92 5. A multiple-choice test has five choices for each answer. There are twenty questions. If a student guesses on the first two questions, what is the probability that the student will get both questions correct? 1 ___ 11 1 G ___ 16 H 0.48 1 A ___ 25 1 ___ 22 1 B __ 5 19 ___ 44 2 C __ 5 3. At the end of a conference, 80 teachers enter a prize drawing by placing their name tags in a hat. After 6 name tags have been selected and removed from the hat, Mrs. Jones has not yet won a prize. What is the probability that Mrs. Jones will win the next prize? 16 D ___ 25 A 0.0125 B 0.014 C 0.075 D 0.167 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_056-061.indd 57 57 Holt Mathematics Exit Exam 4/14/06 9:51:27 AM Name Date OBJECTIVE 9 Ready for TAKS? Benchmark Pre-Test (8.11)(B) 3. David bought 5 packs of yogurt covered raisins and recorded the number of orange raisins in each pack. Each pack contains 40 raisins. Jason conducted an experiment by rolling a standard number cube 400 times. The results of Jason’s experiment are shown in the bar graph. Use the bar graph to answer questions 1 and 2. 400 Tosses of a Number Cube Number of Times Tossed 80 70 Class 75 75 65 60 70 63 52 50 40 Pack Number of Orange Yogurt Covered Raisins 1 11 2 7 3 8 4 13 5 9 30 According to David’s sample data, what is the probability that a randomly selected raisin from one of these packs is orange if all the packs are poured out together? 20 10 0 1 2 3 4 5 6 Digit A 0.229 1. According to the data, what is the experimental probability of rolling a 3 on the next roll of the number cube? A B 0.240 C 0.275 3 ____ D 0.833 400 4. The editor of a community newspaper polled 100 residents of a neighborhood to determine how they were going to vote on the proposal to add a new stoplight at a certain intersection. The results of the poll are shown in the table. 1 B ___ 75 3 C ___ 75 3 D ___ 16 2. What is the approximate difference between the experimental probability and the theoretical probability of rolling a 3 on the next roll? F H 0.153 0.159 F 45 H 216 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_056-061.indd 58 Frequency Yes 45 No 55 Based on these experimental results, and assuming that all 480 residents in the neighborhood vote, how many people could be expected to vote “Yes” for the new stoplight? 0.021 G 0.127 J Vote 58 G 55 J 264 Holt Mathematics Exit Exam 4/14/06 9:51:28 AM Name OBJECTIVE 9 Date Class Ready for TAKS? Benchmark Pre-Test (8.12)(A) 1. During Eric’s first four months of lifeguarding, he saved a total of 25 swimmers. His saves per month were 5, 4, 7, and 9. Which measure of the data would be the most impressive to report to his parents and friends? 4. Sandy’s scores on her first five chemistry quizzes were recorded in the table. Sandy’s Scores Quiz 1 80 Quiz 2 82 A range Quiz 3 88 B mean Quiz 4 100 Quiz 5 98 C median Which measure of the data would NOT change if Sandy had actually scored two points less on Quiz 1 and Quiz 4? D mode 2. Debbie earned the following grades on her philosophy papers: 86, 92, 86, and 89. Which measure of the data will give her the highest overall score? F F G mean range H median G mean J H median J range mode 5. A company that sells notebooks is analyzing a frequency table to identify the number of notebooks they sold last year. Which measure of data describes the most popular color of notebook sold? mode 3. A set of data has 10 values, no two of which are the same. If the smallest data value is removed from the set, which of the following statements MUST be true? A mean B median A The range of the first data set is larger than the range of the second data set. C mode D range B The mode of the first data set is greater than the mode of the second data set. C The medians of the two data sets are the same. D The mean of the first data set is less than the mean of the second data set. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_056-061.indd 59 59 Holt Mathematics Exit Exam 4/14/06 9:51:28 AM Name Date OBJECTIVE 9 Ready for TAKS? Benchmark Pre-Test (8.12)(C) 1. A travel agency surveyed visitors to Virginia to find out how many historical sites they visited. The survey results are shown in the bar graph. 4. Margie gathered information about the ages of people living in her community. She used the information to create the histogram and the circle graph shown. The histogram accurately reflects the information gathered, but two sections of the circle graph were switched. Virginia Survey Results 70 Frequency Class 60 50 Age Groups 40 30 Under 20 18% 20 20–39 25% 10 0 0 1 2 3 Numbers of Sites Visited 80 and Over 12% 4 or more 60–79 15% Approximately how many people visited fewer than 2 historical sites? B 100 C 170 D 230 Age Group Survey Results 30 Frequency A 70 2. Of the 800 people at Shopmart, 200 people are alone, 318 people are with a friend, 160 are with a spouse, and the rest are with a family member who’s not a spouse. If a circle graph were constructed, which of the following is the approximate percentage needed to represent the category for the number of people with a family member who’s not a spouse? F 5% H 25% C 78 D 80 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_056-061.indd 60 15 10 5 F Under 20 20–39 40–59 60–79 80–99 Age Group 60–79 and 80 and Over G under 20 and 80 and Over H under 20 and 60–79 3. The students at a local school chose among 3 candidates for Best Dressed. A total of 240 students voted and Maylene received 27.5% of the votes, and she came in last. If a bar graph is constructed, and the vertical axis represents the number of votes received, which of the following could NOT be the height of the bar for one of the other candidates? B 75 20 According to the information in the histogram, which two sections of the circle graph were switched? 122% A 60 25 0 G 15% J 40–59 30% J 60 under 20 and 20–39 Holt Mathematics Exit Exam 4/14/06 9:51:28 AM Name Date OBJECTIVE 9 Class Ready for TAKS? Benchmark Pre-Test (8.13)(B) Use the circle graph to answer questions 1 and 2. Use the bar graph to answer questions 3 and 4. The circle graph shows the percent of sales for each color of a particular model of refrigerator sold at an appliance store last month. The bar graph shows the number of students enrolled in different math classes at a local high school. Student Enrollment: Mathematics Black 10% Pre-Calc Cream 15% Algebra 2 Stainless Steel 40% Geometry White 35% Algebra 1 0 100 200 300 400 Number of Students Refrigerator Sales by Color 3. Which statement is true? 1. Which statement is true? A The color of refrigerator sold the least was cream. A There are more students enrolled in Algebra 1 than in any other class at the high school. B The color of refrigerator sold the most was white. B Pre-Calculus has the greatest number of students enrolled. C More than three times as many white refrigerators were sold as cream. C There are more than twice as many students enrolled in Algebra 1 as there are in Algebra 2. D Four times as many stainless steel refrigerators were sold as black. D There are slightly more than half as many students enrolled in PreCalculus as there are in Algebra 2. 2. Which is a reasonable conclusion from the information provided in the graph? F 4. Which is a reasonable conclusion from the information provided in the graph? Most people don’t believe black refrigerators will keep their food cold. F G Most people prefer the appearance of stainless steel refrigerators. G Students cannot take Pre-Calculus unless they get a C or better in Algebra 2. H Sales of black refrigerators are declining. J None of these. H The school needs larger rooms for the Algebra 1 classes because the class size is bigger. J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_056-061.indd 61 Almost all of the students in the school are enrolled in Algebra 1. 61 More teachers are needed for Algebra 1 than for Algebra 2. Holt Mathematics Exit Exam 4/14/06 9:51:28 AM Name OBJECTIVE 10 Date Class Ready for TAKS? Benchmark Pre-Test (8.14)(A) 1. A pickle company reported that the average price of cucumbers in the U.S. increased by 2% per year from 1979 to 1984. What additional information is needed to calculate the average price of cucumbers in 1984? Use the Venn diagram to answer questions 4 and 5. The Venn diagram represents all 700 students at a school. The circle on the left represents the students that have taken Mr. White for English, and the circle on the right represents the students that have taken Ms. Red for math. A the amount of cucumbers sold between 1979 and 1984 B the average price of cucumbers in 1985 Mr. White Ms. Red C the difference in prices of cucumbers between 1979 and 1984 Z D the average price of cucumbers in1979 2. Ken’s father’s age is 5 years less than three times Ken’s. If Ken is 15 years old, which equation can be used to determine his father’s age? F X W 4. What does the section labeled with an X represent? 3(15) ⫹ 5 ⫽ x G 3(15) ⫺ 5 ⫽ x F H 3(15 ⫺ 5) ⫽ x J Y 3(15) ⫽ x ⫺ 5 Students who have taken Ms. Red for math but have not taken Mr. White for English. G Students who have taken both Ms. Red for math and Mr. White for English. 3. Erin bought a pair of shoes for 60% off the original price. If the sale price is x, which equation could Erin use to find the original price, p, of the shoes? H Students who have not taken Mr. White for English. 3 A p ⫽ x ⫺ __ 5 J 3x B p ⫽ x ⫹ __ 5 All students who have taken Ms. Red for math. 5. Which of the labeled sections represents the students who have NOT taken either Mr. White for English or Ms. Red for math? 3x C p ⫽ x ⫺ __ 5 3p ⫽ x D p ⫺ __ 5 A W B X C Y D Z Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_062-067.indd 62 62 Holt Mathematics Exit Exam 4/14/06 9:51:37 AM Name OBJECTIVE 10 Date Ready for TAKS? Benchmark Pre-Test (8.14)(B) 4. The value of a $250,000 home in a certain area increases by approximately $12,500 per year. After how many years will the home be worth approximately $300,000? 1. A full cylindrical hot tub with a height of 4 feet and a radius of 3 feet is being emptied at a rate of 5 ft3 every 2 minutes. How many minutes would it take to completely empty the tub at that rate? F A 2.5 min 2 yrs G 3 yrs B 23 min H 4 yrs C 45 min J D 113 min 5 yrs 5. A farmer is plowing the rectangular field shown. If the farmer can plow approximately 500 square feet per minute, about how many hours will it take him to plow the whole field? 2. Jamie bought a comforter that was on sale for 30% off and a bedspread for 20% off. The original cost of each was $150.00. If the tax rate is 6.25% and Jamie gives the salesclerk five $50.00 bills, how much change should she get back? F Class 700 feet $10.94 400 feet G $25.00 H $90.63 J $130.37 3. The trapezoid shows the shape of Miguel’s yard. Miguel would like to put grass seed on the entire yard. What does Miguel FIRST need to find in order to calculate the number of bags of seed to buy? A 9 hr B 10 hr C 11 hr D 12 hr 70 ft 35 ft 40 ft 50 ft A the cost of one bag of seed B the perimeter of the yard C the area of the yard D the volume of the yard Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_062-067.indd 63 63 Holt Mathematics Exit Exam 4/14/06 9:51:38 AM Name OBJECTIVE 10 Date Ready for TAKS? Benchmark Pre-Test (8.14)(C) 4. The volume of a large box is 9,000 ft3. If the height of the box is 15 ft, which of the following could be the length and width of the box? 1. A car dealership has 20 rows of cars. The first row has 25 cars; the second row has 30 cars; and the third row has 35 cars. If this pattern continues, how many cars will there be in the last row? F A 120 cars 10 ft by 90 ft G 20 ft by 45 ft B 125 cars H 20 ft by 30 ft C 130 cars J D 135 cars 30 ft by 30 ft 5. The point (2, 3) is reflected across the x-axis and then across the y-axis. The resulting point is (⫺2, ⫺3). The new point is again reflected across the x-axis and then the y-axis. The resulting point is (2, 3). If this pattern continues, what will be the resulting x-coordinate for the point after three pairs of reflections? 2. The bottom of a pool is a circle that covers 300 square feet. What is the best first step to determine the length of the pool’s diameter? F Class Square 300. G Take the square root of 300. H Divide 300 by 2. J y Divide 300 by . 10 3. Which of the equations could represent the step before Step 2 in the solution to an algebra problem? 8 6 4 Step 1. 2 Step 2. 18x ⫺ 48 ⫹ 2 ⫽ ⫺10 –10 –8 Step 3. 18x ⫺ 46 ⫽ ⫺10 –6 –4 –2 2 –2 4 6 8 10 x –4 Step 4. 18x ⫽ 36 –6 Step 5. x ⫽ 2 –8 A 6(3x) ⫺ 8 ⫹ 2 ⫽ ⫺10 –10 B 3(6x ⫺ 8) ⫹ 2 ⫽ ⫺10 C 6(3x ⫺ 8) ⫹ 2 ⫽ ⫺10 A ⫺3 D 6(3x) ⫺ 8 ⫹ 40 ⫹ 2 ⫽ ⫺10 B ⫺2 C 2 D 3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_062-067.indd 64 64 Holt Mathematics Exit Exam 4/14/06 9:51:38 AM Name OBJECTIVE 10 Date Class Ready for TAKS? Benchmark Pre-Test (8.15)(A) 4. A newspaper editor has been given four articles to print in the paper. The circle graph shown belongs to one of the articles. Which list of data goes with the circle graph? Use the figure to answer questions 1 and 2. 1. If the figure is an ice cream cone, the amount of dough needed to make the cone best represents the cone’s— A lateral area B circumference C radius F D volume 2. If the figure is a drinking cup, the amount of water that the cup can hold best represents the cup’s— F circumference G lateral area H surface area G The election results were as follows: 40% for Jones, 24% for Mack, 22% for Vito, and 14% for Ellis. volume J 3. Which transformation describes how to get from point A to point B ? H The school budget is allocated accordingly: 40% for building, 35% for salaries, 20% for books, 5% for other. y 10 8 6 J 4 A 2 –10 –8 –6 –4 –2 –2 –4 2 4 6 8 10 x B –6 –8 –10 B a 270° clockwise rotation C a reflection over the line with equation y ⫽ x D a reflection across the x-axis and then the y-axis AGA07_RTAKS11_062-067.indd 65 The town census reported the following for the ages of residents: 4% were over 75 years old, 11% were between 50 and 75 years old, 60% were between 25 and 50 years old, and 25% under 25 years of age. 5. If the product of the quantities 8 ft, ft, and 5 s is found, what units of 17 s__ measure will be in the answer? A a 90° clockwise rotation Copyright © by Holt, Rinehart and Winston. All rights reserved. A survey of citizens had the following results: 23% supported totally financing the new stadium, 10% supported partially financing the new stadium, 34% did not support financing the stadium, and 33% were undecided. 65 ft A s__ B ft ⴢ s C ft2 D There will be no units of measure. Holt Mathematics Exit Exam 4/14/06 9:51:38 AM Name Date OBJECTIVE 10 Class Ready for TAKS? Benchmark Pre-Test (8.16)(A) 3. What is the missing term in the pattern? 1. Use the examples and non-examples provided to determine which of the following is a tergon. Tergons 4 2 2, ____ 4 , ____ 2 , ______, ____ ___ xy x2y3 x 4y 7 x 5y 9 3 A ____ 3 5 x y Not Tergons 3 B ____ x 3y 5 22 C ____ x 3y 5 22 D ____ x 4y 4 4. For which of the following sets of points is a linear model NOT reasonable? A F B {(3, ⫺3), (4, ⫺2), (5, ⫺1), (6, 0)} G {(⫺5, 0), (⫺1, 2), (3, 4), (7, 6)} H {(⫺2, 2), (1, 0), (4, ⫺2), (7, ⫺4)} C J D 5. Mabel made the conjecture that the domain of the function f (x ) ⫽ x is all real numbers. Which of the following values of x is a counterexample to Mabel’s conjecture? 2. The table lists several powers of the number 3. Powers of 3 Resulting Value 3 1 3 3 2 9 3 3 27 3 4 81 3 5 243 3 6 729 3 7 2,187 3 8 6,561 {(6, 1), (4, 4), (0, 2), (5, 8)} A (⫺2)2 B 2 1 C __ 2 D ⫺2 Given that the digit in the ones place will continue to repeat in the pattern above, what will be the digit in the ones place in 96? F 3 H 7 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_062-067.indd 66 G 9 J 1 66 Holt Mathematics Exit Exam 4/14/06 9:51:39 AM Name OBJECTIVE 10 Date Class Ready for TAKS? Benchmark Pre-Test (8.16)(B) 1. If the variables x and y both represent real numbers, which statement is NOT true? 4. Which statement about the quadrilaterals shown is true? B A If x ⬎ y, then x ⬎ y . C B If x ⬎ y, then ⫺y ⬎ ⫺x. C If x ⬎ y, then x 3 ⬎ y 3. D If x ⬎ y, then x 2 could be equal to y 2. 2. If the variables x and y both represent negative real numbers and are related so that x 2 ⬎ y 2, which statement must be true? F D E F x is greater than y G y is greater than x F 2 H y is a positive integer J A H G _ _ If AB is perpendicular to AD , then exactly one of the quadrilaterals is a rectangle. _ _ _ _ _ _ EF_ , CD FG , DA GH , G If BC_ and AB HE , then both quadrilaterals have the same area. ⫺1 ⬍ 1 ___ x 3. Which of the following statements is true for triangle ABC ? H If ⬔A ⬔C, then both quadrilaterals are rectangles. B J If quadrilateral ABCD is a parallelogram and the measure of ⬔C ⫽ 90°, then both quadrilaterals are rectangles. 5. Which of the following statements is true? A A All rectangles are squares. C B All quadrilaterals are rectangles. A If ⬔A ⬔B, then the triangle is an equilateral triangle. C All squares are rhombuses. D All trapezoids are parallelograms. B If the measure of ⬔C is twice the measures of both ⬔A and ⬔B, then triangle ABC is a right triangle. C If ⬔A ⬔B, then the triangle must be a right triangle. _ _ D If ⬔A ⬔B, then AB BC . Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_062-067.indd 67 67 Holt Mathematics Exit Exam 4/14/06 9:51:39 AM Name OBJECTIVE 1 Date Class Ready for TAKS? Benchmark Post-Test (A.1)(A) 1. The total amount c charged by a storage warehouse for one month of rent is given by the equation c 75 1.5s , where s represents the number of square feet rented. Which of the following is the best interpretation of what the independent variable represents? 4. When a weight is attached to the spring shown, the length of the spring is determined by the equation given. ᐉ = 0.4g 12 A the number of square feet rented B the total amount charged by the storage warehouse C the number of months for which the storage is kept In this equation, what might the independent variable represent? D a $75 flat fee charged by the warehouse to rent space F 2. A furniture store marks its furniture up 125% from the wholesale price. Which statement best represents the functional relationship between the retail price (the price at which the store sells the item) and the wholesale price at this store? F G the original length of the spring H the maximum length of the spring J the length of the spring when g grams of weight are attached 5. The graph shows a function in which the variable y is the dependent variable. Which statement is the best description of the functional relation between x and y ? The wholesale price and the retail price are independent of each other. G The wholesale price is dependent on the retail price. H The retail price is dependent on the wholesale price. J the number of grams of weight attached to the spring y It is not possible to determine the relationship without both prices. 3. Which of the following does not represent a relation in which the first quantity depends on the second? x A the volume of a sphere; the radius of the sphere A As x increases, y decreases at a variable rate. B the length of the base of a rectangle; the perimeter of the rectangle B As x increases, y increases at a constant rate. C the surface area of a cube; the length of the side of the cube C As x increases, y increases at a variable rate. D the circumference of a circle; the radius of the circle D As x increases, y sometimes decreases and sometimes increases. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_068-072.indd 68 68 Holt Mathematics Exit Exam 4/14/06 9:50:39 AM Name OBJECTIVE 1 Date Class Ready for TAKS? Benchmark Post-Test (A.1)(B) 3. Which function could be used to describe the data set shown? 1. Which equation best describes the relationship between x and y shown in the table? {(2, 8), (1, 1), (1, 1), (2, 8)} A y 4x x y 1 4 B y 2(x )2 2 16 C y x 3 5 100 D y (x )3 10 400 4. Which function represents the data set shown? A y 4x Domain Range 25 16 9 10 8 6 B x 4y C y 4x 2 D x 4y 2 2. The graph shows the relationship between two variables, t and h. Which function represents this relationship? F x 2.5y G x y 15 H y 2 x t J 7 y 2x 5. The table shows the number of calories, c, in an item of food that has f grams of fat in it. Which equation best describes the relationship between c and f ? –5 h Calories, c Grams of fat, f 9 1 18 2 5 27 3 7h H t __ 5 36 4 F 7t h __ 5 G 7h 7 t __ J A c 9f 7h 7 t __ 5 B f 9c C c 9f 2 D f 9c 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_068-072.indd 69 69 Holt Mathematics Exit Exam 4/14/06 9:50:39 AM Name OBJECTIVE 1 Date Ready for TAKS? Benchmark Post-Test (A.1)(C) 3. A saline solution is described by the percent of the solution that is salt. A chemist mixed 20 grams of a 35% saline solution with x grams of a 20% saline solution. Which equation describes S, the amount of salt in the chemist’s mixture? 1. If Terry’s CarMart doesn’t have the color car that a customer wants, they will go get one from another dealership. They charge $50 to send a driver and 50 cents for each mile the driver has to travel. The chart shows the cost of several dealership exchanges. Number of miles, m Cost, c A S 20(0.35) 0.2x 10 $55 B S 20(0.35) 20x 20 $60 50 $75 100 $100 C S (20 x)(0.55) 4. Mr. Randall invested $7,500 in two money market accounts. He put part of the money into an account that earns 4.25% interest per year and the rest into an account that earns 4.5% per year. Which equation describes i, the total amount of interest earned by both accounts for one year? A c 50 0.50 B c 50 0.50m C c 50m 0.50 F D c 50m 0.50m H i 3750(0.0425) 3750(0.045) J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_068-072.indd 70 G 36w 10w 2 J i 7500(0.0425x 0.045x) 5. The Academic Excellence Scholarship at a certain college requires that eligible students have at least a B grade point average, which is equivalent to a GPA of 3.3. Since the highest GPA that a student can earn is 4.0, this means the student’s average must be at least 3.3 but no more than 4.0. If z represents a student’s GPA, which inequality best expresses this requirement? If w represents the width of the pool, which expression best represents the area of the portion of the pool that will be cleaned? H 36w 5w 2 i 0.0875(7500) G i 0.0425x 0.045(7500 x) 2. A country club is having the bottom and sides of their pool pressure cleaned. The length of the pool is 5 times the width of the pool and the depth of the pool is 3 feet everywhere. The pool is shown. 21w 10w 2 0.20 __________ D S (20 x) 0.35 2 Which equation best represents the relationship between the number of miles driven, m, and the total cost, c, to go get a vehicle? F Class A 4.0 z 3.3 B 3.3 z 4.0 C 3.3 z 4.0 D 3.3 z 4.0 5(5w 3 w) 70 Holt Mathematics Exit Exam 4/14/06 9:50:40 AM Name OBJECTIVE 1 Date Ready for TAKS? Benchmark Post-Test (A.1)(D) 3. Which of the following equations does NOT represent a function? 1. The function _ f (x ) {(1, 1), (4, 0.5), (9, 0.3), (16, 0.25)} can be represented in a variety of different ways. Which of the following is NOT an accurate representation of f (x)? A y 1 __ x2 A y x 4 B x2 y 6 with domain {1, 4, 9, 16} 3 x2 ________ C y 6x x _ B C 1 with range {0.25, 0.3, 0.5, 1} x __ y2 D y x 2(x 6) _ x 0.25 0.3 0.5 1 y 16 9 4 1 D Domain 4. Which of the following best describes the graph of the inequality 3x y 5 ? F Range 1 4 9 16 1 0.5 0.25 0.3 H the area that is shaded above the dotted line y 3x 5 J 6 4 2 –4 –2 2 –2 4 6 x A f (x) {(3, 6), (1, 2), (1, 2)} B y 2x for 5 x 3 –4 –6 C 4x 3y 12 G 4x 3y 12 x 3 1 1 y 6 2 2 y D H 3x 4y 12 J the area that is shaded above the solid line y 3x 5 5. A function is defined as follows: x is an odd integer between, but not including, 5 and 3, and y is always twice x. Which of the following is NOT a correct representation of the function? y –6 the area that is shaded below the dotted line y 3x 5 G the area that is shaded below the solid line y 3x 5 2. Which inequality best describes the graph shown? F Class 6 3x 4y 12 4 2 –6 –4 –2 2 4 6 x –2 –4 –6 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_068-072.indd 71 71 Holt Mathematics Exit Exam 4/14/06 9:50:40 AM Name OBJECTIVE 1 Date Ready for TAKS? Benchmark Post-Test (A.1)(E) 4. The net profit, p, that a musical clock company makes from producing c clocks is represented by the equation p 4.5c 13,500. Which is the best interpretation of this information? 1. Which of the following is true for the parabola y 1 (x 2)2? A The vertex is (2, 1). B The axis of symmetry is x 2. C The minimum value is at (0, 3). F D The maximum value is at (0, 3). H The company needs to sell more than 3,000 clocks before it makes a profit. J Speed The company has sold more than 13,500 shower heads. 5. A ball is thrown straight up from a flat roof of a building that is 240 feet tall with an initial velocity of 32 feet per second. If there is no air resistance, the height of the ball at any time t is given by the function h(t ) 16t 2 32t 240. The graph of the function is shown. Time Which of the following might describe the same jog? y Joe jogs along a flat road. He then jogs up a hill at the same pace. 260 G Joe jogs at a steady pace along a flat road . He then jogs up a hill and his speed decreases. Height (h) 220 H Joe jogs at a steady pace up a hill. He then runs down the hill and his speed increases. J The company’s profit is always at least $13,500. G The company’s profit last year was $13,500. 2. The graph shows the relationship between speed and time during Joe’s evening jog. F Class 100 20 1 2 3 4 5 x Time (t) 3. If x 1, which is always a correct conclusion about the quantities in the function y x1? Which statement is true about h(t )? A After one second, the ball fell at a constant rate. A The variable y is always less than the variable x. B The height of the ball decreased for all values of t. B The variable y is always greater than the variable x. C After one second, the height of the ball returned to the height of the roof. C As x increases, y increases. D After five seconds, the ball hit the ground. D As x increases, y approaches 0. AGA07_RTAKS11_068-072.indd 72 140 60 Joe jogs along a flat road and then down a hill. Copyright © by Holt, Rinehart and Winston. All rights reserved. 180 72 Holt Mathematics Exit Exam 4/14/06 9:50:41 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Post-Test (A.2)(A) 1. Which of the functions is NOT a linear function? 3. The graph of which function would pass through the points (9, 3) and (16, 4)? A x ⫽ 2y ⫹ 1 A y ⫽ 3x B (x ⫹ 5)(y ⫺ 3) ⫽ 2 1x B y ⫽ __ 3 C x⫹y⫽6 C y ⫽ x2 1x ⫹ 4y ⫽ 3 D __ 2 D y ⫽ x3 1 __ 1 __ 4. Which statement best describes the y graph of x__ ⫽ ⫺1? F a line with a slope of ⫺1 and a hole at x ⫽ 0 2. Which is the best representation of the function y ⫽ ⫺x2 ⫺ 3? y F G a vertical line that passes through the point (⫺1, 2) x –3 H a parabola that passes through (0, ⫺1) J y G none of the above 5. Which equation is the parent function of the graph shown? y x –3 x y H x A y ⫽ x –3 J B y⫽x C y ⫽ x2 y D y⫽ x x Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_073-081.indd 73 73 Holt Mathematics Exit Exam 4/14/06 9:50:51 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Post-Test (A.2)(B) 4. What is the domain of the function graphed? 1. What is the domain of the function given? f (x) ⫽ 2⫺ x y A x⬍2 B xⱕ2 C x⬎2 D xⱖ2 5 x 2. Identify the range of the function given. {( ⫺2, 3), ( ⫺ 1, 5), (3, 4), (5, ⫺ 4)} F –5 {⫺2, ⫺1, 3, 5} G {⫺4, 3, 4, 5} H {⫺4, ⫺2, ⫺1, 3, 4, 5} J F all real numbers xⱕ0 G ⫺3 ⱕ x ⱕ 0 3. What is a reasonable range for this function? H x ⱖ ⫺3 J all real numbers 5. What is the range, written in interval notation, of the function graphed? y 1 1 5 x –5 A ⫺2 ⬍ y ⬍ 1 B ⫺2 ⬍ y ⬍ 2 A [⫺4, 2] C ⫺2 ⬍ y ⱕ 2 B (⫺2, 4) D ⫺1 ⬍ y ⱕ 2 C [⫺2, 4) D (2, 2) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_073-081.indd 74 74 Holt Mathematics Exit Exam 4/14/06 9:50:51 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Post-Test (A.2)(C) 1. The graph shows the decrease in value of a plasma TV over a period of 24 months. H The bond only lost value between months 4 and 6. J y Value ($) 2000 The bond hit its lowest value at month 4. A quarterback throws a football to a wide receiver. The points in the figure show the height of the football, in feet, above the ground in terms of its distance, in feet, from the quarterback. 1600 1200 800 400 4 8 12 16 20 24 (35, 14) x Time (in months) What is a reasonable conclusion about the value of this TV during the time period shown on the graph? Height (ft) 7 A It depreciated $500 every 12 months. (70, 7) B It depreciated $500 every 6 months. Distance from Quarterback (ft) C Its value at 24 months was half its value at 6 months. D Its value at 12 months was twice its value at 24 months. Use the diagram above to answer questions 3 and 4. 2. The graph shows the value, in dollars, of a certain E-bond during a period of several months. 3. Which of the following is a reasonable conclusion? A The height of the ball when it leaves the quarterback’s hand is the same as the height of the ball when the receiver catches it. B The maximum height of the ball is 35 feet. 1 2 3 4 5 6 C The ball travels 7 feet from the quarterback. 7 Which is a reasonable statement about the value of the bond during this time period? F D At its maximum height, the ball is 5 times as high as its original height. 4. What is the approximate height of the football, in feet, when the wide receiver catches it? The bond lost value for exactly three months and then gained value. G The bond experienced its most rapid decrease in price between months 1 and 2. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_073-081.indd 75 F 70 G 35 75 H 14 J 7 Holt Mathematics Exit Exam 4/14/06 9:50:52 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Post-Test (A.2)(D) 1. The scatter plot shows the number of college students who have purchased a laptop computer since 1985. Use the scatter plot to answer questions 3 and 4. Sports Car Acceleration 70 Speed (mph) 60 Laptop Purchases by College Students 50 40 30 20 10 0 0.5 A The number of students purchasing a laptop continues to grow rapidly. B Fewer and fewer students are purchasing laptops. A 80 mph D No conclusion can be drawn because there is no pattern. C 90 mph 250 400 300 500 350 600 D 100 mph 4. Which statement accurately describes the relationship between speed and time? F $325 G $350 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_073-081.indd 76 As the time increases by 0.5 seconds, the speed triples. G As the time increases by 0.5 seconds, the speed doubles. H The speed consistently increases by 10 mph per half second. J Use the data to predict the retail price of a microwave with a wholesale price of $225. F 3.0 B 85 mph 2. The table shows the retail price of microwave ovens based on the wholesale price. 300 2.5 3. Predict the approximate speed that the same car can reach in 4 seconds. C The number of students purchasing laptops appears to have leveled off. 200 2.0 The scatter plot shows the relationship between the speed and the number of seconds that a certain sports car takes to accelerate from 0 mph to that speed. The plot also shows the line of best fit for the data. What conclusion can be drawn about the number of college students who have purchased a laptop since 1985? Retail ($) 1.5 Time (seconds) Years Since 1985 Wholesale ($) 1.0 The time does not affect the speed. H $375 J $425 76 Holt Mathematics Exit Exam 4/14/06 9:50:52 AM Name OBJECTIVE 2 Date Ready for TAKS? Benchmark Post-Test (A.3)(A) 4. A cook needs to prepare 200 plates of food in an hour for a banquet. If he prepares 3 plates per minute for the first m minutes, which equation shows the number of plates per minute, p, he must prepare for the remaining minutes to finish on time? 1. Sue gave 5% of her regular take-home pay last week to charity. If she normally takes home p dollars, which of the following represents the amount of money she took home last week? A p ⫺ 0.05p B p ⫺ 0.5p p ⫽ 200 ⫺ 3m C p ⫺ 0.05 F D p ⫺ 0.5 ⫺ 3m _________ G p ⫽ 200 3 2. Let m represent the average speed, in miles per hour that Ray ran in a race. Let f(t) represent the distance in miles Ray ran after t hours. The function f (t) is best represented by F m⫹t ⫺ 3m _________ H p ⫽ 200 60 ⫺ m J Number of Workers Number of Toy Cars 3 48 5 80 10 160 50 800 x⫹1 2y 2 3x ⫹ y 5x ⫹ __ 3y A A ⫽ __ 6 4 2x2 ⫹ __ 2xy ⫹ __ 1y2 B A ⫽ __ 3 3 2 Which equation can be used to model this relationship? A c ⫽ 48w B c ⫽ 48 ⫹ w C c ⫽ 16w 16 D c ⫽ ___ w Copyright © by Holt, Rinehart and Winston. All rights reserved. ⫺ 3m _________ p ⫽ 200 3m 5. Which equation represents the area, A, of the rectangle shown? H mt t m __ J m G __ t 3. The table shows the number of toy cars, c, that w workers can assemble in one day. AGA07_RTAKS11_073-081.indd 77 Class 5x ⫹ __ 3y C A ⫽ __ 3 2 10x ⫹ 3y D A ⫽ ___ 3 77 Holt Mathematics Exit Exam 4/14/06 9:50:52 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Post-Test (A.3)(B) 4. Eric wants to write an expression that will always produce an odd integer. Which of the following will always produce an odd integer for any given integer, n? 1. What is the sixth term in this pattern? 3 5 7 x , ___ x , ... x , ___ x, ___ 2y2 3y4 4y6 x9 A ___ 5y8 n⫹3 x11 B ____ 6y12 F x11 C ____ 6y10 H n2 ⫹ 3 2 G 2n ⫹ 4n ⫹ 3 J x13 D ____ 7y12 3n ⫹ 1 5. The figures show a pattern that relates the figure number, f, and the number of blocks, b. Which equation relates the figure number to the number of blocks? 2. Which algebraic expression best represents the relationship between the x- and y-coordinates in the coordinate pairs given? Figure 1 {(1, 7), (2, 13), (3, 23), (4, 37)} F 2 y ⫽ 2x ⫹ 5 G y ⫽ 4x ⫹ 3 Figure 2 2 H y⫽x ⫹6 J y ⫽ 7x2 3. Which algebraic expression best represents the relationship between the terms in the following sequence and their position, n, in the sequence? Figure 3 4, 7, 10, 13, … A b ⫽ 3(f ⫺ 1) ⫹ 1 A 3n B b⫽f B n⫹3 C b ⫽ 3f C 3n ⫹ 1 D b ⫽ f2 D 3n2 ⫹ 1 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_073-081.indd 78 78 Holt Mathematics Exit Exam 4/14/06 9:50:53 AM Name OBJECTIVE 2 Date Ready for TAKS? Benchmark Post-Test (A.4)(A) 2 ⫺ 5x ⫺ 8 1. If f (x) ⫽ x__________ , what is f(⫺1)? x3 A ⫺14 4. Solve the equation y ⫽ ax ⫺ b for b. F B 1 D 16 H b ⫽ y ⫺ ax 2. What is the missing value in the function table? x f(x) ⴝ 7 ⴚ 2x ⫺4 ⫺25 ⫺3 ⫺11 0 7 ? ⫺1 J b ⫽ ax ⫺ y 2 5. Three times a number is 5 more than twice the same number. The algebraic equation 3x ⫽ 5 ⫹ 2x represents this situation. Use the equation to find the number. A 5 B 1 3 C 0 G 1 D ⫺5 H ⫺1 J y ___ b ⫽ ax y __ G b⫽a ⫹x C 2 F Class 6. The rectangle shown has an area of 2x2 ⫹ 11x ⫺ 21. ⫺2 3. What is the perimeter, in simplest form, of the regular octagon? x⫹7 Which expression represents the length of the rectangle? F x 2 ⫹ 4x x⫹3 G x⫺3 2 A x ⫹ 4x ⫹ 32x H 2x ⫺ 3 2 B 8x ⫹ 32x J 2 C 4x ⫹ 16x 2x ⫹ 3 D (x2 ⫹ 4x)8 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_073-081.indd 79 79 Holt Mathematics Exit Exam 4/14/06 9:50:53 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Post-Test (A.4)(B) 5. What is the perimeter of the quadrilateral? 1. Which real number property is illustrated 2 2 by the equation 2x ⫹ (7x ⫺ 7x ) ⫽ 2x? A the Associative Property of Addition x2 B the Commutative Property of Addition 2x 2 ⫹ 5 C the Distributive Property D the Additive Identity Property of 0 2x ⫹ 4x 2 2. Which expression is equivalent to (4 ⫺ 3x)(2x) ⫺ (5 ⫺ x)(2 ⫹ 3x)? F x⫺3 ⫺3x ⫺ 3 G 22x7 ⫺ 10 H ⫺3x2 ⫺ 5x ⫺ 10 J A 7x6 ⫹ 2x2 ⫹ 2 ⫺9x2 ⫹ 21x ⫺ 10 B 7x2 ⫹ 3x ⫹ 2 3. Which expression is equivalent to 6x ⫺ 2 ___ 21x ⫹ __ 7 ? __ 5 10 2 7 A ⫺3x ⫹ __ 2 C 9x6 ⫹ 2 D 10x8 ⫹ 2 6. The table shows the factored form and the simplified form for several products. 26x ⫺ 7 B ___ 5 Factored Form (x ⫹ 5) C ⫺3x ⫺ 7 7 D ⫺3x ⫹ __ 2 2 4. Which expression is equivalent to 2 ⫺12x y ⫺ 6xy ⫹ x ⫺ 2xy ⫹ 9x2y ⫹ 5x? F 2 x2 ⫺ 6x ⫺ 9 (x ⫹ 3)(x ⫺ 2) x2 ⫺ 6 (3x ⫹ 1)(3x ⫺ 1) 9x2 ⫺ 1 Which product is correctly simplified? ⫺3x4y ⫺ 8x2y2 ⫹ 4x2 (x ⫹ 5)2 F H ⫺3x2y ⫺ 8xy ⫺ 4x G (x ⫹ 3)(x ⫺ 3) ⫺3x2y ⫺ 8xy ⫹ 6x H (x ⫹ 3)(x ⫺ 2) 2 J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_073-081.indd 80 x2 ⫹ 25 (x ⫹ 3)(x ⫺ 3) G ⫺3x y ⫺ 8xy ⫹ 4x J Simplified Form 80 (3x ⫹ 1)(3x ⫺ 1) Holt Mathematics Exit Exam 4/14/06 9:50:53 AM Name OBJECTIVE 2 Date Class Ready for TAKS? Benchmark Post-Test (A.4)(C) 1. Which function notation would 4. The graph of a function is shown. represent the same relationship as the 2 ⫹ 7? quadratic equation y ⫽ x______ 3 y 8 2 A f (x) ⫽ 3x ⫹ 7 6 4 2 B f(x) ⫽ 3(x ⫹ 7) 2 –8 C f(x) ⫽ 3x ⫹ 7 –6 –4 –2 x Identify the function. F 2 H y ⫽ ⫺(8x ⫹ 3) y ⫽ ⫺8(x ⫹ 3) 2 x ⫺1 H f (x) ⫽ x ⫺ 1 J x f (x) ⫺1 ⫺4 0 1 1 4 2 5 f (x) ⫽ x ⫹ 1 5. A biology class monitored the growth pattern of a weed for several weeks. The initial height of the weed was 1.2 meters and the weed grew 0.3 meters each week. The results can be represented by the function f(x) ⫽ 1.2 ⫹ 0.3w, where w is the number of weeks that passed. Which equation would represent the height, h, of the weed after w weeks have passed? A h ⫽ 0.3(1.2 ⫹ w) Which equation represents the same relationship? B h ⫽ 1.2 ⫹ 0.3w A y ⫽ 2 ⫹ ⫺x ⫹ 5 0.3w C h ⫽ ____ 1.2 B y ⫽ 5 ⫺ (x ⫺ 2)2 C y ⫽ 5 ⫺ (x2 ⫹ 4) D h ⫽ 1.2(1 ⫹ 0.3w) D y ⫽ 5 ⫺ (x2 ⫺ 4) Copyright © by Holt, Rinehart and Winston. All rights reserved. f (x) ⫽ x ⫺ 1 G f (x) ⫽ 3. The table shows several values generated by the function 2 f (x) ⫽ 5 ⫺ (x ⫺ 2) . AGA07_RTAKS11_073-081.indd 81 8 –8 y ⫽ ⫺8x ⫹ 3 2 J 6 –6 2. Which quadratic equation would represent the same relationship as the 2 function f (x) ⫽ ⫺8(x ⫹ 3) ? G y ⫽ 8(x ⫹ 3) 4 –4 2 ⫹7 D f (x) ⫽ x______ 3 F 2 –2 81 Holt Mathematics Exit Exam 4/14/06 9:50:54 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Post-Test (A.5)(A) 1. Which of the following is NOT a linear equation? 3. Which set of coordinate points does NOT represent a linear function? A y ⫽ 7x(1 ⫹ 5x) A {(⫺5, 1), (0, 3), (5, 5), (10, 7)} B y ⫽ 7x ⫺ (5x ⫹ 3) B {(1, 2), (2, 4), (3, 6), (4, 8)} C y ⫽ 6 ⫹ 2(x ⫺ 5) C {(⫺3, 1), (⫺6, 2), (⫺9, 3), (⫺12, 4)} D 6x ⫹ 3y ⫽ 7x ⫹ 4 D {(⫺2, 4), (⫺1, 1), (1, 1), (2, 4) 2. Which table of values represents a linear function? F G H J x y 2 5 3 7 4 9 5 13 x y ⫺3 2 ⫺1 3 1 4 3 5 x y ⫺2 ⫺6 0 ⫺2 2 4 4 10 x y ⫺1 2 ⫺3 4 ⫺5 8 ⫺7 10 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_082-090.indd 82 4. Which situation can be represented by a linear function? F A person’s heart rate while jogging at a steady pace. G A cable television bill for a 12-month period of time. H The total amount of money saved if a person deposits $50 for three months, then $25 for three months, then $50 for six months. J The volume of a rectangular prism whose width and length are x and whose height is 2 more than its length. 5. Which of the following functions would have a graph that is a line? A y ⫽ 5x⫺1 ⫺2 B y ⫽ 3兹 x⫹5 3 ⫹2 C y ⫽ ___ 5x 1 D y ⫽ 3x ⫹ __ 5 82 Holt Mathematics Exit Exam 4/14/06 9:50:24 AM Name Date Class Ready for TAKS? OBJECTIVE 3 Benchmark Post-Test (A.5)(C) 4. Which linear equation represents the statement “the product of 3 and y is 5 more than twice x”? 1. What is the equation of the line shown? y 10 F 8 G 3y ⫽ 5 ⫹ 2x 6 H y ⫽ 3(5 ⫹ 2x) 4 J 2 –10 –8 –6 –4 3y ⫽ 2(5 ⫹ x) –2 2 4 6 8 10 –2 y ⫽ 3(5 ⫺ 2x) 5. Which is the graph of the equation 2x ⫺ 6y ⫽ 12? x y A –4 10 8 –6 6 4 –8 2 –10 –10 –8 –6 –4 –2 –2 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x –4 –6 –8 –10 ⫺3x ⫹ 6 C y ⫽ ___ 4 4x ⫹ 6 A y ⫽ __ 3 y B 10 ⫺4x ⫹ 6 D y ⫽ ___ 3 3x ⫹ 6 B y ⫽ __ 4 8 6 4 2 2. The table shows several points that lie on a given line. Which of the following could be the equation of the line? –10 –8 –6 –4 –2 –2 –4 –6 –8 –10 x y ⫺3 ⫺8 0 0 6 y C 10 16 8 6 4 F y ⫽ 2x ⫺ 2 2x ⫺ __y ⫽ 0 G ___ 3 6 2 8x ⫹ y ⫽ 0 H ___ 3 –10 –8 –6 –4 –2 –4 –6 J 3y ⫽ 8x –8 –10 3. Which linear equation is equivalent to 5? 1x ⫺ __ the equation y ⫽ ⫺__ 3 2 A x ⫺ 6y ⫹ 15 ⫽ 0 10 8 6 4 2 –10 –8 –6 –4 –2 –2 –4 C 2x ⫹ 6y ⫹ 15 ⫽ 0 –6 –8 –10 D 2x ⫺ 6y ⫹ 15 ⫽ 0 AGA07_RTAKS11_082-090.indd 83 y D B x ⫺ 3y ⫹ 15 ⫽ 0 Copyright © by Holt, Rinehart and Winston. All rights reserved. –2 83 Holt Mathematics Exit Exam 4/14/06 9:50:24 AM Name Date OBJECTIVE 3 Class Ready for TAKS? Benchmark Post-Test (A.6)(A) 3? 4. Which line has a slope of ⫺__ 7 y F 1. What is the slope of the line whose equation is ⫺3y ⫽ 5(x ⫹ 3) ⫺ x? 10 A ⫺5 C 4 ⫺__ D 3 __ 8 6 3 4 2 B ⫺3 –10 –8 –6 –4 –2 4 –2 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 –4 –6 –8 2. What is the slope of the line whose equation is ⫺3y ⫺ 3x ⫽ 2(x ⫹ 4) ⫺ 5? F 5 ⫺__ y G 3 ⫺__ H 3 –10 10 8 5 6 4 G ⫺1 2 2 J –10 –8 –6 –4 –2 –2 –4 3. What is the slope of the line whose graph is shown? –6 –8 –10 y y H 10 8 10 6 4 8 2 –10 –8 –6 –4 –2 6 –2 –4 –10 –8 –6 –4 4 –6 2 –10 –2 –8 (9, 0) 2 4 –2 6 8 10 x y J 10 8 6 –4 –6 4 2 (0, –6) –10 –8 –6 –4 –2 –2 –8 x –4 –6 –10 –8 –10 3 A ⫺__ 2 2 B __ 3 2 C ⫺__ 3 3 D __ 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_082-090.indd 84 5. Line a passes through each of the points in the table. What is the slope of line a? 84 x ⫺5 ⫺3 3 y ⫺5 ⫺2 7 3 A __ 2 2 B ⫺__ 3 2 C __ 3 D undefined Holt Mathematics Exit Exam 4/14/06 9:50:25 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Post-Test (A.6)(B) 1. According to the graph, which statement best describes the relationship between x and y? 4. What is an equation of the line that passes through (⫺4, 1) and has the same y-intercept as the graph of 3x ⫺ 2y ⫽ 7 y y 10 8 6 x 4 2 –10 –8 –6 –4 A As x increases, y remains constant. F x ⫹ 2y ⫽ 1 and 2x ⫺ y ⫽ 7 3. Which graph could represent a car’s speed over time if its speed remained constant for a few seconds, then decreased for a few seconds, then remained constant? y 3x ⫺ __ 7 G y ⫽ ⫺__ 2 2 J 9x ⫺ __ 7 y ⫽ ⫺__ 8 2 Number of Tickets Cost ($) 4 108 8 216 12 324 16 432 If the linear function that represents this data were graphed with the number of tickets on the horizontal axis and the cost on the vertical axis, which would be the best interpretation of the y-intercept of the line? y x D x 5. The table shows the price of purchasing certain numbers of concert tickets. H x ⫹ 4y ⫽ 9 and 2x ⫹ 8y ⫽ 7 C 9x ⫺ __ 7 y ⫽ __ 2 2 3x ⫺ __ 7 H y ⫽ __ 2 2 1x ⫹5 G y ⫽ 2x ⫺ 1 and y ⫽ __ 2 x 10 –8 y ⫽ 3x ⫹ 4 and y ⫽ ⫺3x ⫹ 4 B 8 –10 2. Which of the following pairs of equations describes a pair of perpendicular lines? y 6 –6 D As x decreases, y decreases. A 4 –4 C As x decreases, y increases. J 2 –2 B As y increases, x remains constant. F –2 A The cost of buying 4 tickets is $108. y B The cost of buying 0 tickets is $0. C Each ticket costs $27. x Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_082-090.indd 85 D The cost per ticket increases as more tickets are purchased. x 85 Holt Mathematics Exit Exam 4/14/06 9:50:25 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Post-Test (A.6)(C) 3 is changed 2x ⫺ __ 3. The function y ⫽ ⫺__ 5 4 3. What will be the effect 2x ⫺ __ to y ⫽ __ 5 4 on the graph of the function? 1. The graphs of line ᐉ and line m are shown. Line ᐉ Line m y y 10 10 8 8 6 6 4 4 2 –10 –8 –6 –4 –2 –2 A It will reflect the graph across the x-axis. 2 2 4 6 8 10 x –10 –8 –6 –4 –2 –4 –2 2 4 6 8 10 B It will reflect the graph across the y-axis. x –4 –6 –6 –8 –8 –10 –10 C It will translate the graph 10 units left. D It will translate the graph 10 units down. How does the graph of line ᐉ compare to the graph of line m? 4. Line A has equation y ⫽ 3x ⫹ 7 and Line B has a y-intercept of ⫺7 and a slope of ⫺3. Which statement describes how Line B is related to Line A? A The slope of ᐉ is less, but the y-intercept is greater. B The slope of ᐉ is less and the y-intercept is less. F C The slope of ᐉ is greater and the y-intercept is greater. G Line B is a reflection of Line A across the x-axis. D The slope of ᐉ is greater, but the y-intercept is less. H Line B is a reflection of Line A across the y-axis. 2. The graph of the function 3 is shown. 5x ⫹ __ f(x) ⫽ ⫺__ 2 4 J y 8 6 4 2 –2 2 4 6 8 10 x A y ⫽ ⫺12x ⫺ 5 –4 –6 –8 B y ⫽ 2x ⫺ 4 –10 C ⫺4y ⫽ 3x ⫺ 5 If the y-intercept is decreased by 4 units, what would be the equation of the new function? F None of these. 5. A line has equation y ⫽ 3x ⫺ 7. If the y-intercept of the line is multiplied by ⫺4 and 2 is added to the slope, which equation represents the new line? 10 –10 –8 –6 –4 –2 Line B is a translation of Line A 1 unit down. D y ⫽ 5x ⫹ 28 5x ⫹ 3 f(x) ⫽ ⫺__ 2 5x ⫺ ___ 13 G f(x) ⫽ ⫺__ 2 4 5x ⫹ ___ 19 H f(x) ⫽ ⫺__ 2 4 J 3 f(x) ⫽ ⫺10x ⫹ __ 4 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_082-090.indd 86 86 Holt Mathematics Exit Exam 4/14/06 9:50:26 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Post-Test (A.6)(D) 1, what 4. If the slope of the line shown is ⫺__ 2 is the y-coordinate of the y-intercept? 1. Which equation describes a line that passes through the point (5, ⫺4) and 1? has a slope of ⫺__ 3 17 1x ⫺ ___ A y ⫽ ⫺__ 3 3 y 1x ⫹ __ 7 B y ⫽ ⫺__ 3 3 –6 x 1x ⫹ ___ 17 C y ⫽ ⫺__ 3 3 1x ⫺ __ 7 D y ⫽ ⫺__ 3 3 2. Which equation describes a line that contains the points (1, ⫺1) and (5, 2)? F ⫺12 3x ⫺ 4y ⫽ 7 G ⫺6 G 3x ⫹ 4y ⫽ 7 H ⫺3 H 4x ⫺ 3y ⫽ 7 J F J 4x ⫹ 3y ⫽ 7 6 5. Which could be the equation of the line whose graph is shown? 3. Which equation describes the line with 1 and y-intercept ⫺__ 1? x-intercept __ 2 4 A 2y ⫺ 4x ⫽ 0 y B 2y ⫹ 4x ⫽ 0 C 2x ⫹ 4y ⫽ 0 D 2x ⫺ 4y ⫽ 1 x 1x ⫹ __ 2 A y ⫽ ⫺__ 5 3 1x ⫺ __ 2 B y ⫽ __ 5 3 1x ⫹ __ 2 C y ⫽ __ 5 3 1x ⫺ __ 2 D y ⫽ ⫺__ 5 3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_082-090.indd 87 87 Holt Mathematics Exit Exam 4/14/06 9:50:26 AM Name Date OBJECTIVE 3 Ready for TAKS? Benchmark Post-Test (A.6)(E) 1. If the line 4x ⫹ 2y ⫽ ⫺15 were graphed, what would be the x-intercept? 15 A ⫺___ 2 15 C ___ 4 15 ⫺___ 15 ___ D Class D 4 4. The table shows several points that lie on a line. What would be the x-intercept of this line if it were graphed? 2 2. If the line 3y ⫺ 5x ⫽ 8 were graphed, what would be the y-intercept? F 8 ⫺__ 3 H 1 G ⫺1 F y ⫺2 10 ⫺3 8 ⫺4 6 ⫺8 G ⫺7 8 __ 3 J x H ⫺5 3. An equation of the line graphed is x ⫺ y ⫺ 5 ⫽ c. What is the value of c? J 14 5. A small appliance company is testing a new oven. The temperature, in °F, is recorded every minute, m, from the time the oven is turned on. The table shows that the temperature increases according to a linear relationship. y 10 8 6 4 2 –10 –8 –6 –4 –2 (5, 0) 2 4 –2 –4 –6 6 8 10 x (0, –5) –8 m Temperature (°F) 1 134 3 167 5 200 If the linear relationship were graphed with m on the horizontal axis, what would be the y-intercept of the line? –10 A ⫺5 A ⫺3 B ⫺1 B 101 C 0 C 117.5 D 5 D 120 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_082-090.indd 88 88 Holt Mathematics Exit Exam 4/14/06 9:50:26 AM Name OBJECTIVE 3 Date Class Ready for TAKS? Benchmark Post-Test (A.6)(F) 1. The graph of a line is shown. If the J y-intercept is cut in half and the slope 1, which equation is multiplied by __ 3 represents the new line? The value of the two stocks decreased at the same rate since the slopes of the lines are the same. Use the information and the graph to answer questions 3–5. y A math tutor charges an initial fee of $50 plus an hourly rate to make a house call. The graph shows the total cost for a job based on the initial fee and the number of hours to complete the tutoring session. 10 8 6 4 2 –10 –8 –6 –4 –2 2 4 6 8 10 –2 x –4 (3, 170) Cost ($) –6 –8 –10 (2, 130) 50 2x ⫺ 6 A y ⫽ __ 3 4x ⫺ 3 C y ⫽ __ 3 B y ⫽ 2x ⫺ 2 4x ⫺ 6 D y ⫽ __ 3 1 0 Stock B The value of Stock A decreased faster since the slope of the line is greater. B $170 D $190 $215 G $185 H $170 J $95 5. If the tutor increased her initial fee by $20 and increased her hourly rate by $15, what would be the total charge for a session that took 3 hours? H The value of the two stocks decreased at different rates since the y-intercepts of the lines are different. AGA07_RTAKS11_082-090.indd 89 C $180 F G The value of Stock B decreased faster since the slope of the line is greater. Copyright © by Holt, Rinehart and Winston. All rights reserved. A $100 4. If the tutor left her initial fee unchanged but increased her hourly rate by $15, what would be the total charge for a session that took 3 hours? Which statement best compares the value of the two stocks? F 3 3. If the tutor increased her initial fee by $20 but kept her hourly rate the same, what would be the total charge for a session that took 3 hours? 50 Stock A 2 Number of Hours 2. The values of two stocks over a short period of time are represented by the graphs. 100 (1, 90) 89 A $235 C $170 B $180 D $105 Holt Mathematics Exit Exam 4/14/06 9:50:27 AM Name OBJECTIVE 3 Date Ready for TAKS? Benchmark Post-Test (A.6)(G) 1. A car’s value decreases according to the age of the car. The table shows the value of the car depending on its age. Age (years) Value (dollars) 0 25,000 1 22,500 3 17,500 4. A bicyclist is practicing for a race. During a practice run, he traveled at a constant speed. His times and distances are shown in the table. A 8 yrs C 10 yrs B 9 yrs D 11 yrs Time (minutes) Distance (miles) 7.5 3 18.75 7.5 If the bicyclist continues to cycle at the same rate, approximately how long would it take him to get 10 miles from home? If the value of the car continues to decrease at the rate shown in the table, how old will the car be when it is worth nothing? F 25 minutes G 30 minutes H 33 minutes 2. The force that must be applied to push an object using a certain trolley varies directly with the weight of the object. If a force of 3.00 pounds is required to push an object that weighs 200 pounds, how much force is required to push a 45-pound child? F J 40 minutes 5. The amount of blood in a person’s body varies directly with the person’s weight. The table shows several body weights and the approximate number of quarts of blood in that person’s body. 0.075 lbs G 0.675 lbs Weight (pounds) Blood (quarts) 200 6.25 160 5 140 4.375 H 1.481 lbs J Class 13.333 lbs 3. Based on the given exchange rate for Mexican pesos on a certain day at the airport, Mr. Harmon purchased a leather hat that was marked 1,080 pesos for 120 U.S. dollars. At this same rate, how many dollars would a 6.75 peso bag cost? Based on the data in the table, approximately how many pounds does a person with 3.5 quarts of blood weigh? A 100 A 0.25 B 110 B 0.75 C 112 C 60.75 D 115 D 19200.00 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_082-090.indd 90 90 Holt Mathematics Exit Exam 4/14/06 9:50:27 AM Name OBJECTIVE 4 Date Ready for TAKS? Benchmark Post-Test (A.7)(A) 4. Mr. Hicks is doing a study on the weight of pigs compared to the amount of food they eat each day. He feeds 50 pigs a certain amount each day and then after three months, counts to see how many pigs weigh more than 60 pounds. The results are given in the table. 1. Joey’s house is on the corner of the block. Sally’s house is 3 blocks north of Joey’s house. If Peg lives south of Joey and the distance from Peg’s house to Sally’s house is b blocks, which equation represents the total distance, d, from Peg’s house to Joey’s house? A d⫽1⫹3 Number of Pigs Number of Buckets over 60 lbs of Slop per Day B d⫽b⫹3 C d⫽b⫺3 D d ⫽ 3b 2. Laura is on the school dance team. She has allotted a maximum of 3 hours each week to work on routines and jump sequence. Each routine, r, takes approximately 6 minutes. Each jump sequence, j, takes approximately 4 minutes. Which inequality best represents the time Laura can spend each week practicing a combination of dance routines and jump sequences? F 2 1 3 4 4 7 5 10 Which equation best describes the relationship between b, the number of buckets of slop each pig eats per day, and p, the number of pigs that weigh more than 60 pounds? F p⫽b⫺1 ⫹3 _____ H p⫽b 2 r⫹jⱕ3 G 6r ⫹ 4j ⱕ 3 G p⫽b⫺3 J ⫹5 _____ p⫽b 3 5. Peter has $75 and wants to buy food, toys, and treats for his dog. The table shows the price of each item he wants to buy. H 4r ⫹ 6j ⱕ 180 J Class 6r ⫹ 4j ⱕ 180 3. A submarine is hovering at 5,000 feet below sea level. If the submarine ascends at a constant rate of 200 feet per minute, which equation could be used to determine t, the time in minutes it will take the submarine to reach the surface? Items Price Food $10.25 per bag Toys $6.75 each Treats $1.50 each If he buys one bag of food and one toy, which inequality best describes the total number of treats, t, that he can buy? A 0 ⫽ 5000 ⫺ 200t B 5000 ⫽ 200 ⫺ t A t ⱕ 75 C 5000 ⫽ 60 ⫹ 200t B t ⱕ 75 ⫺ (10.25 ⫹ 6.75) D 0 ⫽ 200t C 1.5t ⱕ 75 ⫺ (10.25 ⫹ 6.75) D 1.5t ⱕ 75 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_091-096.indd 91 91 Holt Mathematics Exit Exam 4/14/06 9:51:47 AM Name OBJECTIVE 4 Date Ready for TAKS? Benchmark Post-Test (A.7)(B) 4. The table shows several solutions (x, y) to the equation 4x ⫹ 3y ⫽ 15. 1. A student is solving the equation 4 ⫺ x ⫹ 5 ⫽ 9x ⫹ x ⫹ 7. Which of the following strategies would be the BEST way to start this problem? A Add x to both sides of the equation. B Subtract x from both sides of the equation. F D Divide both sides of the equation by 4. y 0 5 6 ⫺3 2 y 7 __ 3 9 G __ 4 2. What is the value of x if (x, ⫺2) is a 4x ⫺ 9 ? solution to the equation y ⫽ __ 3 3 H ⫺__ 7 44 ⫺___ 3 J 4 ⫺__ 9 5. What is the solution to the statement “the product of 6 and the quantity x increased by 3, is 27?” 33 G ⫺___ 4 21 H ___ 4 J x What is the missing value of y? C Divide both sides of the equation by 9. F Class 1 A __ 2 28 ___ 3 B 1 3. Each of the points on the line is a solution to the equation 5x ⫺ 3y ⫽ ⫺3. 3 C __ 2 y 5 D __ 2 (2, (0, 1) 6. Mr. Roe replaced the gutters on his house. The carpenter charged him $1,280 for materials, $60 per hour to install the gutter, and 10% tax on all the materials and labor. The total charge was $1,804. About how long did it take to install the new gutters? 13 ) 3 x (x, –1) What is the missing value of x? 3 A ⫺__ 2 6 B ⫺__ 5 4 ⫺__ 2 ⫺__ C 5 D F G 4 hours H 5 hours 3 J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_091-096.indd 92 3 hours 92 6 hours Holt Mathematics Exit Exam 4/14/06 9:51:48 AM Name OBJECTIVE 4 Date Class Ready for TAKS? Benchmark Post-Test (A.7)(C) 1. The cost of hiring a painter is described by the function f (x ) ⫽ 40x ⫹ 50 in which f (x ) is the cost and x is the time the painter works. Mr. Ray has already bought the paint and has $200 left to paint his living room. What is the maximum number of hours that he can hire the painter? 4. The graph of the linear inequality ⫺3x ⫺ 2y > 14 is shown. y 8 6 4 2 –8 –6 –4 –2 2 4 6 8 –2 A 2 hours x –4 –6 B 3 hours –8 C 4 hours D 5 hours Which point is in the solution set to the inequality ⫺3x ⫺ 2y > 14? 2. The student government is trying to raise money for a set of 2 speakers by holding several yard sales. They decide to charge $1.25 for each item in the sale. If each speaker costs about $68, including the tax, what is a reasonable number of items they must sell? F F (3, 1) G (⫺2, ⫺3) H (0, ⫺7) J (⫺2, ⫺5) 5. The graph of the linear inequality 2 x ⫺ 7 is shown. y ⱕ __ 5 40 items G 80 items H 120 items J y 16 160 items 12 3. Manny purchased x baseball bats at $105 each and y baseball gloves at $82 each. He spent less than $2,100, not including tax. The number of items he purchased can be described by the linear inequality 105x ⫹ 82y ⬍ 2100. If Manny purchased 9 bats, what is the maximum number of gloves he could have purchased? 8 4 –16 –12 –8 –4 4 –4 8 12 16 x –8 –12 –16 Which point is NOT in the solution set 2 x ⫺ 7? of y ⱕ __ 5 A 13 gloves B 14 gloves A (1, ⫺7) C 15 gloves B (5, ⫺5) D 16 gloves C (0, ⫺9) D (⫺5, ⫺10) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_091-096.indd 93 93 Holt Mathematics Exit Exam 4/14/06 9:51:48 AM Name OBJECTIVE 4 Date Ready for TAKS? Benchmark Post-Test (A.8)(A) 1. Rex has a total of 141 action figures. The number of his bad guys is 15 more than twice the number of his good guys. Which system of equations can be used to find the number of bad guys, b, and the number of good guys, g, Rex has? A g ⫽ 15 ⫺ 2b b ⫹ g ⫽ 141 B b ⫽ 15 ⫹ 2g b ⫺ g ⫽ 141 C g ⫽ 15 ⫹ 2b b ⫹ g ⫽ 141 D b ⫽ 15 ⫹ 2g 141 ⫺ b ⫽ g 4. The diagram shows two angles. The measure of the larger angle, y, is 140 degrees more than five times the measure of the smaller angle, x. Which system of equations can be used to find the measure of each angle? y° F 2. Ms. Green bought two kinds of flowers for her yard. All together, she bought 40 daisies and begonias. She bought three and a half times as many begonias as daisies. Which system of equations can be used to find the number of begonias, b, and the number of daisies, d, she bought? F Class b ⫹ d ⫽ 40 1d d ⫽ 3 ⫹ __ 2 H b ⫽ d ⫺ 40 d ⫽ 3.5b H x ⫹ y ⫽ 360 y ⫽ 5x ⫹ 140 b ⫽ 40 ⫺ d b ⫽ 3.5d B 2w ⫽ 92 ⫺ 2ᐉ w ⫽ 8ᐉ ⫺ 5 C 2(ᐉ ⫹ w) ⫽ 92 ᐉ ⫽ 8w ⫺ 5 D 2(ᐉ ⫹ w) ⫽ 92 w ⫽ 5 ⫺ 8ᐉ J x ⫽ 360 ⫺ y x ⫽ 5y ⫹ 140 Day 1 Day 2 Pretzels 55 42 Smoothies 49 61 Total Sales $406.05 $432.70 If the price of a pretzel is represented by p and the price of a smoothie is represented by s, which system of equations can be used to determine the price of each? 3. The length of a rectangle is 5 feet less than 8 times the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 92 inches? A ᐉ ⫹ w ⫽ 92 ᐉ ⫽ 5 ⫺ 8w G x ⫹ y ⫽ 360 x ⫽ 140 ⫹ 5y 5. The table shows the number of pretzels and smoothies sold at a shop on two different days. G b ⫺ d ⫽ 40 1d b ⫽ 3 ⫹ __ 2 J x ⫹ y ⫽ 360 y ⫹ 140 ⫽ 5x x° A p ⫹ s ⫽ 104 55p ⫹ 49s ⫽ 406.05 B p ⫹ s ⫽ 103 42p ⫹ 61s ⫽ 432.7 C 55p ⫹ 49s ⫽ 406.05 42p ⫹ 61s ⫽ 432.7 D p ⫹ s ⫽ 104 p ⫹ s ⫽ 103 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_091-096.indd 94 94 Holt Mathematics Exit Exam 4/14/06 9:51:49 AM Name OBJECTIVE 4 Date Class Ready for TAKS? Benchmark Post-Test (A.8)(B) 4. The graph shows the solution to which system of equations? 1. Barry has 68 coins in pennies and nickels. He has 10 fewer pennies than nickels. The system of equations y x ⫹ y ⫽ 68 x ⫽ y ⫺ 10 8 6 4 represents this situation if x is the number of pennies and y is the number of nickels. What is the solution to the system? 2 –8 –6 –4 2 –2 4 6 8 –2 x –4 –6 A (28,30) –8 B (30, 28) F C (29, 39) D (39, 29) x ⫺ 3y ⫽ 0 2x ⫺ y ⫽ 10 G x ⫹ 3y ⫽ 0 2x ⫺y ⫽ ⫺10 H x ⫺ 3y ⫽ 0 2x ⫺ y ⫽ ⫺10 2. Manuel has 42 coins in nickels and dimes. The coins are worth $3.35. The system of equations 5. The graph of the system of equations is shown. What is the solution to the system? n ⫹ d ⫽ 42 0.05n ⫹ 0.10d ⫽ 3.35 y represents this situation. If n represents the number of nickels Manuel has, what is the value of n? F 8 6 4 2 17 –8 G 22 –6 –4 –2 2 –2 4 6 8 x –4 H 25 J x ⫺ 3y ⫽ 0 ⫺2x ⫹ y ⫽ 10 J –6 –8 29 3. What is the y-coordinate of the solution to the system of equations ? A (1, ⫺1) B (2, ⫺1) 7x ⫺ 4y ⫽ ⫺6 2x ⫹ 4y ⫽ 24 ? C (⫺1, 2) A ⫺5 D (⫺1, 1) B ⫺2 C 2 D 5 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_091-096.indd 95 95 Holt Mathematics Exit Exam 4/14/06 9:51:49 AM Name OBJECTIVE 4 Date Class Ready for TAKS? Benchmark Post-Test (A.8)(C) 1. Keith sold some CD’s for $3 and some DVD’s for $5. He sold a total of 41 items and earned $181. The system of equations 4. Joseph wrote down a system of equations to solve, but part of the second equation got torn. The remaining part read x ⫹ y ⫽ 41 3x ⫹ 5y ⫽ 181 4x ⫹ y ⫽ ⫺7 9x ⫹ ?? ⫽ ? represents this situation. If the solution to the system is (12, 29), what does 12 represent? Which of the following is NOT a possible solution to the system regardless of what the missing numbers are? A the number of CD’s Keith sold F B the price per CD G (⫺3, 5) C the number of DVD’s Keith sold H (⫺2, ⫺1) D the price per DVD J 2. Tiffany incorrectly solved the system of equations: aebec 3x ⫹ y ⫽ 3 2x ⫺ y ⫽ 0 q ⫹ d ⫽ 35 0.25q ⫹ 0.10d ⫽ 5.55 because 3(3) ⫺ 6 ⫽ 3 G because 2(3) ⫺ 6 ⫽ 0 Solve the system to determine which reason best describes why at least one of LaTonya’s totals must be wrong. H because 2(3) ⫺ ( ⫺6) ⫽ 0 J because 2( ⫺6) ⫺ (3) ⫽ 0 3. Lisa solved a system of equations and found the solution to be (0, ⫺5). Which of the following could NOT have been the system Lisa solved? A When you solve the system you get a fraction for each coin. B There is no way to get a total of $5.55 using only dimes and quarters. A x⫺y⫽5 B x ⫹ y ⫽ ⫺5 3x ⫹ 2y ⫽ ⫺10 y⫺x⫽5 C 5x ⫹ y ⫽ ⫺5 y⫽x⫺5 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_091-096.indd 96 (1, ⫺11) 5. LaTonya has a coin purse full of quarters and dimes. She counted the number of each and found that she had a total of 35 coins. She then counted the total value of the coins and found that she had $5.55. The system of equations represents this situation. Her solution was (3, ⫺6). Why is this solution incorrect? F (2, ⫺15) C When you solve the system you get a negative number of dimes. D y ⫽ 3x ⫺ 5 2y ⫽ x ⫺ 10 D When you solve the system you get a negative number of quarters. 96 Holt Mathematics Exit Exam 4/14/06 9:51:50 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Post-Test (A.9)(B) 4. The graphs of two parabolas, P1 and P2, are shown. 1. What is the effect on the graph of the 2 equation y ⫽ 6x when the equation is 2 changed to y ⫽ ⫺6x ? A The graph of y ⫽ ⫺6x2 is translated 12 units up from the original graph. B The graph of y ⫽ ⫺6x2 is translated 12 units down from the original graph. C The graph of y ⫽ ⫺6x2 is a reflection of the original graph across the y-axis. 2 D The graph of y ⫽ ⫺6x is a reflection of the original graph across the x-axis. P2 P1 1. Which The coefficient of x2 in P1 is ⫺__ 2 of the following could be the coefficient 2. The graphs of two parabolas, P1 and P2, are shown. 2 of x in P2? F 3 H ⫺__ 4 ⫺0.2 P1 G 1 1 ⫺__ 3 J 2x2 is 5. The graph of the function y ⫽ ⫺__ 3 given. y P2 4 2 2 If the equation of P2 is y ⫽ ax , what is the equation of P1? F 2 y ⫽ ax ⫺ 1 –8 –6 –4 J 2 4 6 8 –2 x –4 G y ⫽ ⫺ax2 1x2 __ H y ⫽ ⫺a –2 –6 1x2 __ y⫽a –8 2 3. If the coefficient of x in the equation 2 y ⫽ ⫺10x is changed to ⫺5, what is the effect on the graph of y? If the graph is reflected across the x-axis and made wider, which of the following could be the equation of the new parabola? A The graph will be shifted down. B The graph will be narrower. A y ⫽ ⫺2x C The graph will be wider. D The graph will be shifted right. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_097-102.indd 97 2 B y ⫽ 0.7x2 97 C y ⫽ ⫺x2 1x2 D y ⫽ __ 2 Holt Mathematics Exit Exam 4/14/06 9:52:00 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Post-Test (A.9)(C) 4. The point (1, 2) is the vertex of the parabola whose equation is 2 f(x) ⫽ 3x ⫺ 6x ⫹ 5. What is the vertex of a parabola that has been translated down 3 units? 1. How do the graphs of the 2 functions f(x) ⫽ x ⫺ 3x ⫹ 2 and 2 g(x) ⫽ x ⫺ 3x ⫺ 5 relate to each other? A The graph of f(x) is 7 units to the left of the graph of g(x). F B The graph of f(x) is 3 units to the right of the graph of g(x). (2, 2) G (⫺1, 2) H (1, ⫺1) C The graph of f(x) is 7 units above the graph of g(x). J D The graph of f(x) is 3 units below the graph of g(x). (1, 2) 5. When graphed, which function would appear to be the graph of f(x) ⫽ x2 ⫺ 1 shifted right 3 units? 2 2. If the graph of f(x) ⫽ x ⫺ 3 is translated up 2 units, which function represents the new graph? y 2 f(x) ⫽ x ⫺ 5 8 G f(x) ⫽ x2 ⫺ 1 6 F 4 H f(x) ⫽ (x ⫺ 2)2 ⫺ 3 J 2 f(x) ⫽ (x ⫹ 3)2 ⫹ 3 –8 –6 –4 –2 3. The graph shows the function 2 f(x) ⫽ x ⫺ 9. 2 –2 4 6 8 x –4 –6 y –8 8 6 –8 –6 –4 4 A f(x) ⫽ x2 ⫹ 2 2 B f(x) ⫽ (x ⫺ 3)2 ⫺ 1 –2 2 4 6 8 –2 x C f(x) ⫽ (x ⫹ 3)2 ⫺ 1 D f(x) ⫽ x2 ⫺ 4 –4 –6 –8 Which statement describes the translation of the parabola if the y-intercept is moved to y ⫽ ⫺19? A 10 units up C 10 units down B 8 units up D 8 units down Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_097-102.indd 98 98 Holt Mathematics Exit Exam 4/14/06 9:52:00 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Post-Test (A.9)(D) 1. Derek’s dirt bike speed shown below. F y G The ball was in flight for 1 second. 8 H The ball’s height increased for approximately 15 seconds. 6 4 J 2 –8 –6 –4 The ball reached its maximum height at approximately 1 second. –2 2 4 6 x 8 –2 The height of the baseball was 6 feet when it landed. 3. A company’s weekly profit is given by the 2 function P(x) ⫽ ⫺80x ⫹ 800x ⫹ 15,000, where x is the number of machines produced. The graph of P(x) is shown. –4 –6 –8 Profit ($) y Which best describes Derek’s speed? 16000 14000 12000 A Went up a hill and then back down. 1 2 3 4 5 6 7 8 B Increased, reached a peak, and then decreased. What conclusion can be made? C Slowed down and then went backwards. A The maximum weekly profit is approximately $5,000. D Slowed down, came to a stop, and then sped up. B The profit decreases always. C The company must produce 5 machines to maximize their profit. 2. The graph shows the height, h, in feet of a baseball versus the time, t, in seconds, after the ball is thrown. D The minimum profit comes by not producing any machines. y 4. The graph shows the number of teenagers, T in a city that bought a portable music player x years after 2000. 22 20 18 16 y 14 200 Number of Players Height (in feet) x 9 Number of Machines 12 10 8 6 150 100 50 1 4 2 3 4 5 6 7 8 x Time (in years) 2 1 2 3 4 5 6 7 8 9 How many thousands of teenagers bought a portable music player in 2000? x Time (in seconds) F What conclusion can be made? 0 G 7 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_097-102.indd 99 99 H 61 J 2000 Holt Mathematics Exit Exam 4/14/06 9:52:01 AM Name Date Ready for TAKS? OBJECTIVE 5 Benchmark Post-Test (A.10)(A) 4. If a package is dropped from a helicopter whose height is 750 feet, the height of the package above the ground t seconds later (neglecting air resistance) is given 2 by the equation h ⫽ 750 ⫺ 16t where h is the height in feet. What is the height of the object after 4 seconds? 1. The factored form of a quadratic equation is (3x ⫹ 7)(5x ⫺ 4). What are the solutions of the quadratic equation? A x ⫽ ⫺7 and x ⫽ 4 5 3 and x ⫽ __ B x ⫽ ⫺__ 7 4 C Class F 3 and x ⫽ ⫺__ 5 x ⫽ ⫺__ 7 7 ft G 350 ft 4 H 494 ft 7 and x ⫽ __ 4 D x ⫽ ⫺__ 5 3 J 700 ft 2 2. Solve. 2x ⫽ 5 ⫺ 3x F 5. Sketch the graph of the equation in question 4 on the grid provided and find the approximate number of seconds it takes the object to hit the ground. 5 and 1 ⫺__ 2 5 and 1 G __ 2 y 5 and ⫺1 H __ 2 J 8 6 1 and ⫺5 __ 4 2 2 3. Which of the following are solutions to the equation 8x2 ⫽ 5x ⫹ 7? –8 –6 ⫹ 兹 249and x ⫽ 5 ⫹ 兹249 _________ _________ A x⫽5 16 16 –4 –2 2 –2 4 6 8 x –4 –6 ⫹ i兹199and x ⫽ 5 ⫺ i兹 199 _________ _________ B x⫽5 16 16 –8 1 7 and x ⫽ ⫺__ C x ⫽ __ 2 4 A 5 sec 1 and x ⫽ ⫺__ 7 D x ⫽ __ 4 2 B 7 sec C 9 sec D 12 sec Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_097-102.indd 100 100 Holt Mathematics Exit Exam 4/14/06 9:52:01 AM Name OBJECTIVE 5 Date Class Ready for TAKS? Benchmark Post-Test (A.10)(B) 1. What are the roots of the quadratic 2 equation x ⫹ 5x ⫺ 6 ⫽ 0? 4. One of the factors of the quadratic 2 equation y ⫽ 7x ⫺ 25x ⫺ 12 is (x ⫺ 4) which produces a root of 4. What is the other root of the equation? A ⫺3 and ⫺2 B 2 and 3 ⫺7 C 1 and ⫺6 F D 1 and 6 3 G ⫺__ 7 2. What are the roots of the function graphed? 3 H __ 7 J 7 5. The graph shows the roots of a quadratic equation. y 8 6 4 2 –8 F (⫺4, ⫺12) and (0, 8) 2 4 6 8 x –6 –8 –10 (2, 0) and (⫺4, 0) –12 3. If x ⫽ ⫺3 is a root of the equation 3x2 ⫹ 2x ⫹ ax ⫺ a ⫽ 0, what is the value of a? Which of the following could NOT be the equation? 21 ___ 4 A x2 ⫹ 2x ⫺ 24 ⫽ 0 4 B ___ 21 C –2 –4 H (⫺8, 0) and (⫺1, 0) A –4 –2 G (0, ⫺2) and (0, 4) J –6 B ⫺2x2 ⫺ 4x ⫹ 48 ⫽ 0 C 3x2 ⫺ 6x ⫺ 72 ⫽ 0 4 ⫺___ 21 D 4x2 ⫹ 8x ⫺ 96 ⫽ 0 21 D ⫺___ 4 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_097-102.indd 101 101 Holt Mathematics Exit Exam 4/14/06 9:52:02 AM Name Date OBJECTIVE 5 Class Ready for TAKS? Benchmark Post-Test (A.11)(A) 4. The area of the rectangle shown is 30m8n2 square units. If the length of the 3 2 rectangle is 9m n units, how many units wide is the rectangle? (m ⫽ 0 and n ⫽ 0) 1. Which expression represents the area of the triangle shown? 3x 4y 6 5xy 6 2x 2y 6x 5 y 4 A 3x6y7 9m 3n 2 7 5 B 6x y 5 F 9 10 C 9x y D 15x6y12 3m ____ H 21m5 10 5 G 21m5n J 10m _____ 3 2. Which expression is equivalent to 3 ⫺3 5. The table shows several values of r and s. 21x y z ________ ? 4 ⫺5 -2 70x y z 2 3 F 10xy z _______ r s 3 2x2 4x3 3x3 9x5 4x4 16x7 3 10xz G _____ 3y2 3y2z3 H _____ 10x Which of these best describes the relationship between r and s? 3 J 3z _____ 10xy2 A s⫽r 3. Which expression is equivalent to 4 4 ⫺ 5x? 2x ________ 12x⫺3 7 ⫺x A ____ 4 C ⫺4x7 7 ⫺ 5x4 B x_______ 6 4 D __ x7 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_097-102.indd 102 3 B s ⫽ xr r2 C s ⫽ __ x 3 r D s ⫽ __ 3 x 102 Holt Mathematics Exit Exam 4/14/06 9:52:02 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Post-Test (G.4)(A) 1. Which expression can be used to determine the total perimeter around the outside of the composite figure shown? 4. What is the point of intersection of the diagonals of the parallelogram whose vertices are P(2, 5), Q(6, 5), R(2, 1), and S(⫺2, 1)? ᐉ y 6 w 4 2 w2 A ᐍw ⫹ __ 4 –6 –4 –2 2 4 –2 w2 B ᐍw ⫹ __ 2 6 x –4 –6 C ᐍw ⫹ w2 F D 2ᐍ ⫹ w G (5, 4) H (2, 3) 2. The measure of one interior angle in an isosceles triangle is 100°. What are the measures of all three interior angles? F (4, 5) J (3, 2) 5. A quarter of a circle is inscribed in a square with sides of length s as shown. 40°, 40°, and 100° G 30°, 50°, and 100° H 80°, 80°, and 100° J 100°, 100°, and 100° s 3. A farmer had a square sheep pen with sides of length 30 feet. He redesigned his pen in the shape of a circle and used all the fencing from the old pen to make the new pen. What is the approximate diameter of the new pen? Which expression represents the portion of the area of the circle that is inside the square? A 9.5 ft B 19.1 ft C 38.2 ft D 94.2 ft Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_103-108.indd 103 103 s2 A __ 4 C s2 s2 B __ 4 3s2 D ___ 4 Holt Mathematics Exit Exam 4/14/06 9:51:03 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Post-Test (G.5)(A) 4. The regular polygons shown form a pattern. 1. If the measure of angle DEF in the figure is n°, which of the following expressions represents the measure of angle EFG? D E P = 12 cm P = 20 cm P = 30 cm P = 42 cm A n° If P represents the perimeter of the figure, what is the value of P for the next figure in this pattern? B 90 ⫺ n° F C 180 ⫺ n° G 52 cm D 270 ⫺ n° H 56 cm G F J 2. A square is inscribed inside a circle with radius r. Which expression represents the perimeter of the square? 48 cm 72 cm 5. Josh starts at the center of town and travels due north for w miles. He then travels due east for twice as many miles. After resting for a few minutes, he travels due north again for x miles and finally due east again for y miles. The diagram represents Josh’s path. r y F r2 G r兹 2 x 2 H r 兹2 J 2w 4r兹 2 3. If the length of the hypotenuse of a 30°, 60°, 90° triangle is 4x, which expression represents the area of the triangle? w A 2x2 B 2兹 3x Which expression represents the number of miles Josh is from his starting point? C 2x兹3 D 2x2兹3 A B 兹5w2 ⫹ 兹x2 ⫹ y2 兹5w2 ⫹ x2 ⫹ y2 C 3w2 ⫹ x2 ⫹ y2 D 3w ⫹ x ⫹ y Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_103-108.indd 104 104 Holt Mathematics Exit Exam 4/14/06 9:51:03 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Post-Test (G.5)(B) 1. In the figure shown, line ᐉ is parallel to line m. 4. The measure of one angle of a right trapezoid is 60°. Which of the following could be the measure of one of the other angles? ᐉ 42° x° m What is the value of x ? F A 42° 60° G 120° B 48° H 150° C 90° J D 132° cannot be determined 5. The diagonals of parallelogram ABCD intersect at point P. 2. The figure shows the first three stages of a fractal. C B P A Which expression represents the number of unshaded triangles in the next stage of the fractal? F Which statement is NOT correct? A m⬔BAP ⬵ m⬔DAP 33⫺1 B m⬔DPC ⬵ m⬔APB G 3(3) ⫺ 1 C m⬔BPC ⬵ m⬔CPD H 33 ⫺ 1 J D D m⬔BCP ⬵ m⬔PAD 33 3. What is the measure of each interior angle of a regular decagon? A 36° B 144° C 360° D 1440° Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_103-108.indd 105 105 Holt Mathematics Exit Exam 4/14/06 9:51:04 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Post-Test (G.5)(C) 1. Which of the following shapes CANNOT be used to generate a tessellation of a plane surface? 3. A pure tessellation is a tessellation that consists of congruent copies of one figure. Which of the following series of compositions of transformations would most likely result in a pure tessellation given the right figure? A A multiple rotations followed by multiple dilations B multiple reflections followed by multiple dilations B C multiple translations followed by multiple dilations D multiple translations followed by multiple rotations C 4. Which of the following compositions of transformations would move the triangle shown completely into quadrant I? y D 10 8 (0, 9) 6 4 2 (–3, 1) –10 –8 –6 –4 –2 2. Which of the following statements is NOT true? –2 (6, 1) 2 4 6 8 10 x –4 –6 –8 F Both reflections and translations result in congruent figures. –10 G Neither reductions nor enlargements result in congruent figures. a reflection across the x-axis followed by a reflection across the y-axis 1 G a reduction by a scale factor of __ 3 followed by a reflection across the x-axis 1 H a reduction by a scale factor of __ 3 followed by a translation to the right 2 units 1 J a reduction by a scale factor of __ 3 followed by a translation to the right 2 units and then a reflection across the x-axis. F H Only reflections and translations result in congruent figures. J Both reflections and rotations result in congruent figures. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_103-108.indd 106 106 Holt Mathematics Exit Exam 4/14/06 9:51:04 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Post-Test (G.5)(D) 4. A ramp rises from the ground at a 30° angle. If the inclined surface of the ramp is 20 feet long, how many feet on the ground does the ramp cover? 1. Which is the best approximation of the perimeter of a right isosceles triangle if its leg is 8 units long? A 11 units B 19 units C 27 units 20 ft D 32 units 2. Find the area of triangle ABC. 30° F 16 cm G 10兹 3 ft 45° F J 20兹3 ft 5. A hot air balloon is staked to the ground and the wind is blowing. The angle of elevation from the stake to the balloon is 60°. If the balloon is 110 feet off the ground, approximately how long is the rope holding the balloon? 2 32 cm G 64 cm2 H 128 cm2 J 10兹 3 ft H _____ 3 10 ft 256 cm2 3. The area of square ABCD is 225 units. B C A D 60° _ What is the approximate length of AC ? A 55 ft C 127 ft A 19 units B 95 ft D 191 ft B 21 units C 23 units D 30 units Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_103-108.indd 107 107 Holt Mathematics Exit Exam 4/14/06 9:51:04 AM Name OBJECTIVE 6 Date Class Ready for TAKS? Benchmark Post-Test (G.10)(A) 1. Figure EFGH is shown on the coordinate plane. 3. Triangle A⬘B⬘C⬘ is the result of performing a translation on triangle ABC. Which statement is true? y A ABC could be congruent to A⬘B⬘C⬘ 10 8 B ABC must be congruent to A⬘B⬘C⬘ 6 4 2 –10 –8 –6 –4 –2 E G H 2 –2 C ABC could not be congruent to A⬘B⬘C⬘ F 4 6 8 10 D ABC is not congruent to A⬘B⬘C⬘ x 4. What are the coordinates of the image of P if triangle MNP is translated up 3 units and then reflected across the y-axis? –4 –6 –8 –10 y 10 Which transformation creates an image with a vertex of (0, 4)? 8 A Rotate the figure 90° around vertex E 2 6 4 B Reflect the figure across the x-axis and then across the y-axis. –10 –8 –6 –4 –2 F 6 2 2 4 6 8 10 x J (⫺3, ⫺1) then a rotation 270° clockwise –6 2 and then a C a dilation by a factor of __ 3 3 second dilation by a factor of __ 2 –8 –10 (0, 3), (4, 3), and (4, 7) D a translation up 2 units, then a G (0, 3), (0, ⫺3), and (5, ⫺3) reflection through the origin, then a 1 dilation by a factor of __ 2 H (4, 0), (8, 0), and (8, 3) J H (⫺3, 1) B a reflection across the line x ⫽ 2 and –4 F x A a dilation by a factor of 3 and then a 1 second dilation by a factor of __ 3 4 –2 10 5. Which of the following compositions would NOT result in congruent figures? 8 –2 (3, 1) G (3, ⫺1) y M 8 –8 10 –6 6 –10 2. Which coordinates are the vertices of a triangle congruent to triangle LMN? L 4 P –6 D Translate the figure to the left 4 units and then down 1 unit. –10 2 –4 C Reflect across the line x ⫽ 1. N –2 N M (4, 1), (4, ⫺4), and (0, 4) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_103-108.indd 108 108 Holt Mathematics Exit Exam 4/14/06 9:51:05 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Post-Test (G.6)(B) 1. What three-dimensional figure does the net represent? 3. If the net shown is folded into a cube, what letter is on the face of the cube opposite the face labeled C? F C A D E B A A A cone B B B triangular pyramid C C C triangular prism D E D square pyramid 4. Which of the following is a true statement about the net of the cube shown? 2. Which of the following nets could be used to form a cube? F J K G M N O L F Faces N and K are parallel. G Faces M and N are parallel. H H Faces O and K are parallel. J J Faces J and L are perpendicular. 5. The net of a triangular prism is composed of which of the following? A three rectangles that may or may not be congruent and two triangles that may or may not be congruent B three rectangles that must be congruent and two equilateral triangles C three rectangles that may or may not be congruent and two equilateral triangles D three rectangles that may or may not be congruent and two congruent triangles Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_109-114.indd 109 109 Holt Mathematics Exit Exam 4/14/06 9:51:15 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Post-Test (G.6)(C) 4. What is the volume of a threedimensional object whose different views are shown? Use the net to answer questions 1⫺3. The top, side, and front views of an object built with cubes are shown. Side View 4 ft Top View 6 ft Side View 4 ft 6 ft 6 ft Front View 4 ft Front View 1. What is the maximum number of cubes in any one row or column? 6 ft A 1 B 2 Top View C 3 F D 6 G 96 ft3 2. How many cubes are needed to construct this object? F H 192 ft3 J 4 216 ft3 5. Which of the following is the top view of the three-dimensional solid shown? G 5 H 6 J 48 ft3 7 3. If the length of each side of each cube is 3 centimeters, what is the total volume of the object? A 108 cm3 Front B 135 cm3 C 162 cm3 Right A B C D D 189 cm3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_109-114.indd 110 110 Holt Mathematics Exit Exam 4/14/06 9:51:16 AM Name Date Class Ready for TAKS? OBJECTIVE 7 Benchmark Post-Test (G.7)(A) 3. Point P has coordinates (2, 5). If Point P is translated down 3 units and to the left 4 units, and then reflected across the y-axis, what are the coordinates of the new point? 1. Which ordered pair could represent the fourth vertex of a parallelogram if the other three vertices are (5, ⫺1), (⫺3, 1), and (⫺1, ⫺2)? y y x x A (3, 2) A (⫺2, ⫺2) B (2, 3) B (⫺2, 2) C (3, 3) C (2, ⫺2) D (2, 1) D (2, 2) 2. If quadrilateral ABCD is rotated 540° clockwise around the origin, in which quadrant will point A appear? 4. A hexagon is graphed on the grid. y y D A x x C F B What is the equation of the line of symmetry that passes through (⫺1, 3)? I x ⫽ ⫺1 G II F H III G x⫽3 IV H y⫽3 J J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_109-114.indd 111 111 y ⫽ ⫺1 Holt Mathematics Exit Exam 4/14/06 9:51:16 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Post-Test (G.7)(B) 1. Which two lines are perpendicular? 4. Line m is parallel to segment AB. What is the slope of line m? A 3x ⫹ 5y ⫽ 8 and 5x ⫹ 3y ⫽ ⫺2 y B 3x ⫹ 2y ⫽ 9 and 6x ⫹ 4y ⫽ ⫺5 C 2x ⫹ 7y ⫽ ⫺3 and ⫺7x ⫹ 2y ⫽ ⫺11 8 D 5x ⫹ 4y ⫽ ⫺20 and 8x ⫹ 10y ⫽ 20 6 4 2. Which equation describes a line parallel to the line graphed? A 2 B –8 y –6 –4 –2 2 –2 8 –4 6 –6 4 –8 4 6 8 x 2 –8 –6 –4 –2 2 4 6 8 10 –2 x F –4 5 G ⫺__ 4 –6 –8 F 4 H __ 5 2x ⫹ 7 y ⫽ ⫺__ 3 J 5 __ 4 5. Segments of the lines y ⫽ 5x ⫺ 4 and y ⫽ mx ⫹ 1 form consecutive sides of a rectangle. What is the value of m in the second equation? 3x ⫺ 4 G y ⫽ ⫺__ 2 2x ⫹ 1 H y ⫽ __ 3 J 4 ⫺__ 5 A 5 3x ⫹ 4 y ⫽ __ 2 B ⫺5 3. Which of the following best describes the graphs of the lines 2y ⫽ 3x ⫹ 2 and 4y ⫽ 6x ⫹ 1? 1 C __ 5 A The lines have the same x-intercept. 1 D ⫺__ 5 B The lines have the same y-intercept. C The lines are parallel to each other. D The lines are perpendicular to each other. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_109-114.indd 112 112 Holt Mathematics Exit Exam 4/14/06 9:51:17 AM Name OBJECTIVE 7 Date Class Ready for TAKS? Benchmark Post-Test (G.7)(C) _ 1. What is the approximate length of CD shown? _ 3. PQ is a diameter of the circle shown. What is the approximate area of the circle shown? y y 8 P (–3, 4) D 6 4 2 –8 –6 –4 –2 x 2 4 –2 C 6 8 x Q (1, –5) –4 –6 A 20.25 units2 –8 B 24.25 units2 C 48.5 units2 A 4.5 units D 97 units2 B 8.2 units 4. What is the center of the circle whose diameter has endpoints (⫺2, 5) and (4, 6)? C 8.9 units D 12.0 units 2. The parallelogram shown has two vertices as indicated. The diagonals of the parallelogram intersect at point X. F G (6, 1) H X J (–2, –3) 5. What is the distance between (⫺2, 7) and (⫺8, ⫺1)? Which of the following are the coordinates of X ? F 1, 2__1 3, 2__1 11 1, ___ 2 11 3, ___ 2 A 100 (2, ⫺1) B 14 G (⫺1, 2) C 136 H (4, 2) D 10 J (2, 4) Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_109-114.indd 113 113 Holt Mathematics Exit Exam 4/14/06 9:51:17 AM Name OBJECTIVE 7 Date Ready for TAKS? Benchmark Post-Test (G.9)(D) 4. Which statement is NOT true about the three-dimensional figure shown? 1. How many faces, edges, and vertices does the three-dimensional figure shown have? F A 4 faces, 6 edges, and 4 vertices The figure has fewer faces than vertices. G The figure has the same number of edges as vertices. B 5 faces, 8 edges, and 5 vertices C 5 faces, 9 edges, and 6 vertices H The figure has more edges than vertices. D 6 faces, 12 edges, and 8 vertices J 2. What is the sum of the number of edges of the two three-dimensional figures shown? F Class The figure has twice as many edges as faces. 5. What is the sum of the number of faces, edges, and vertices of the threedimensional figure shown? 11 G 14 H 18 J A 14 21 B 18 3. Which of the following three-dimensional figures has only two more edges than faces? C 20 D 26 A a square pyramid B a triangular pyramid C a triangular prism D a rectangular prism Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_109-114.indd 114 114 Holt Mathematics Exit Exam 4/14/06 9:51:17 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Post-Test (G.8)(A) 4. Which best represents the approximate area of the composite figure shown if the rectangle is topped by a semicircle? 1. What is the area of a square that has one of its sides with endpoints at (⫺1, 5) and (4, 7)? A 兹29 units2 B 13 units2 C 4兹29 units2 D 29 units2 2. The figure shown is a regular hexagon. Which expression shows the area of the figure? 7 units 12 16 units F 125 units2 G 189 units2 x⫹1 H 212 units2 F 6(x ⫹ 12) J G 12x ⫹ 12 5. If the two shaded triangles are congruent right triangles, what is the area of the portion of the rectangle that is NOT shaded? H 36x ⫹ 36 J 301 units2 72x ⫹ 72 3. A circle with a diameter of 12 inches is inscribed in a square. What is the perimeter of the square? 10 cm A 144 ⫺ 12 in. 6 cm B 48 in. C 48 in. 3 cm D 144 in. A 18 cm2 B 42 cm2 C 51 cm2 D 60 cm2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 115 115 Holt Mathematics Exit Exam 4/14/06 9:58:02 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Post-Test (G.8)(B) 4. What is the approximate length of arc ABC? Use the diagram to answer questions 1 and 2. A section of a circular flower bed is to be used only for herbs. A Area to be used only for herbs 10 125° 12 ft 100° B F C 21.8 units G 32.6 units 1. What is the approximate area of the section of the flower bed that is for herbs only? H 41.0 units J 62.8 units 5. The area of the shaded section in the circle shown is 12. What is the value of x ? A 452 ft2 B 327 ft2 C 126 ft2 D 10 ft2 12 2. If a small fence is to be put around the entire section of the garden to be used for herbs, about how many feet of fence is needed? F x° 21 ft G 33 ft A 20° H 45 ft J B 25° 75 ft C 30° 3. A circular stained glass window is to have a diameter of 20 inches. The window is divided into 10 congruent sectors, which will have alternating colors. What is the approximate area of each sector? A 31 in2 B 40 in2 C 62 in2 D 126 in2 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 116 D 35° 116 Holt Mathematics Exit Exam 4/14/06 9:58:02 AM Name OBJECTIVE 8 Date Ready for TAKS? Benchmark Post-Test (G.8)(C) 1. Pete’s house is 9 miles due south of Ann’s house and 4 miles due east of Dana’s house. What is the approximate straight line distance from Ann’s house to Dana’s house? 4. A door is 3 feet wide and the diagonal length across the door is 7 feet. If Mr. Davis wants to cover the entire door with plastic, about how many square feet of plastic does he need? 6 ft2 A 5.0 mi F B 8.1 mi G 13 ft2 C 9.8 mi H 19 ft2 D 13.0 mi J 21 ft2 5. A rectangle is inscribed in a circle as shown. 2. What is the area of the triangle that has vertices at the points (3, ⫺4), (3, 1), and (11, 1)? F Class 14 units2 G 20 units2 H 24 units2 J 40 units2 3. A courier travels from his home office to deliver a package to Company A and then to deliver a package to Company B as shown in the figure. Home Office If the length and width of the rectangle are 6 and 13 inches respectively, what is the approximate circumference of the circle? A 14 in. 7 mi B 45 in. C 47 in. Company B 4 mi Company A D 90 in. If he travels straight back home from Company B, about how much shorter is this trip than the one from his home office to Company B via Company A? A 1.3 mi B 3.0 mi C 5.3 mi D 5.7 mi Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 117 117 Holt Mathematics Exit Exam 4/14/06 9:58:02 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Post-Test (G.8)(D) 1. In the rectangular prism, AB ⫽ 9 cm, 1BC. BC ⫽ 15 cm, and DC ⫽ __ 3 3. If the edge of a cube is 6 inches and the edge of a smaller cube is 4 inches, what is the difference in the volumes of the two cubes? D A 216 in3 B 152 in3 C C 120 in3 D 64 in3 A B 4. A balloon that is in the shape of a sphere will be used in a parade. What is the approximate volume of the balloon, if the diameter of the balloon is 15 feet? What is the volume of the prism? A 27 cm3 B 87 cm3 F C 405 cm3 G 707 ft3 D 675 cm3 H 1,325 ft3 2. The figure is a rectangular prism topped by a pyramid. What is the approximate volume of the figure? J 236 ft3 1,766 ft3 5. Approximately how much grain can the cylindrical grain bin hold? 2m 4 Golden Grain 3 5m 4 2 F A 21 m3 4 units3 G 13 units3 B 63 m3 H 32 units3 C 100 m3 48 units3 D 157 m3 J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 118 118 Holt Mathematics Exit Exam 4/14/06 9:58:03 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Post-Test (G.11)(A) 1. If 䉭ABC is similar to 䉭XYZ, which proportion is true? 4. There are two pentagons, ABCDE and FGHIJ. If the ratios given are true, which is the correct way to write the similarity between the two pentagons? BC ⫽ ___ AC A ___ YZ XY AC ⫽ ___ CD and ___ AB ⫽ ___ BD ___ AB ⫽ ___ XY B ___ YZ BC GJ F AC ⫽ ___ YZ C ___ XZ BC HI GH JI ABCDE ⬃ FGHIJ G ABCDE ⬃ HIJFG H ABCDE ⬃ IGJFH AC ⫽ ___ AB D ___ XZ YZ J 2. A rectangular prism is shown. If a second prism is similar to the one shown, which of the following could be the dimensions of the second prism? ABCDE ⬃ GJHIF 5. The two rectangles shown are similar. The perimeter of the smaller rectangle is 20 centimeters and its area is 24 square centimeters. If the area of the larger rectangle is 96 square centimeters, what is the perimeter of the larger rectangle? 18 in 4 in F 9 in 3 in. by 8 in. by 17 in. G 0.75 ft by 3 ft by 6 ft A 4 cm H 12 in. by 18 in. by 27 in. B 40 cm 2 ft by 4.5 ft by 9 ft C 80 cm J D 92 cm 3. Which of the following would prove that triangle ABC is similar to triangle WXY ? A The sum of the angles of both triangles is 180°. B Each angle in both triangles has a measure of 60°. C The ratio of AB to AC is the same as the ratio of WX to XY. D BC has the same length as XY. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 119 119 Holt Mathematics Exit Exam 4/14/06 9:58:03 AM Name Date OBJECTIVE 8 Class Ready for TAKS? Benchmark Post-Test (G.11)(B) _ _ 4. Use the diagram to find the value of x if both triangles are right triangles and the top angles of the two triangles are equal. 1. If AB is parallel to CD in the diagram, _ what is the approximate length of OD ? C A 4 7 B O 13 x 5 6 7.5 45 D 36 A 7.4 units F B 9.3 units G 37.5 C 10.0 units H 43.5 D 11.0 units J 56.25 _ _ F _ 5. BE_ is parallel to CD . The length of AB is 2, CB is 7, and the perimeter of triangle ABE is 8. 2. A triangle has a height of 15 units and a perimeter of 40 units. If a similar triangle has a height of 9 units, what is its perimeter? A 34 units G 32 units B H 26 units J E 24 units 3. Triangle ABC with vertices A(2, 4), B(5, 4), and C(5, 10) is similar to triangle DEF with vertices D(2, ⫺2), E(14, ⫺2), and F. Which of the following could be the coordinates of F ? C What is the perimeter of triangle ACD ? A (⫺4, 24) A 10 units B (12, 18) B 15 units C (⫺6, ⫺18) C 30 units D (14, 22) D 36 units Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 120 D 120 Holt Mathematics Exit Exam 4/14/06 9:58:03 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Post-Test (G.11)(C) 4. Which of the ratios is equivalent to cos B ? 1. Use the diagram to find the value of x ? A 8 13 x 5 32 A 2 B 4 C C 6 5 ___ 12 F D 8 B 5 G ___ 13 2. Which theorem justifies the statement that the two triangles shown are similar? 12 H ___ 13 12 ___ J F 5 5. Use a trigonometric ratio to find the value of x in the triangle. (Round to the nearest tenth.) SSS G SSA A H SAS J AAA 17 3. Which set of three integers could be a Pythagorean Triple? x A a ⫽ 5, b ⫽ 9, and c ⫽ 14 42° B a ⫽ 7, b ⫽ 14, and c ⫽ 19 C a ⫽ 7, b ⫽ 24, and c ⫽ 25 C D a ⫽ 12, b ⫽ 13, and c ⫽ 25 A 0.1 B B 11.4 C 12.6 D 15.3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 121 121 Holt Mathematics Exit Exam 4/14/06 9:58:03 AM Name OBJECTIVE 8 Date Class Ready for TAKS? Benchmark Post-Test (G.11)(D) 4. The two cylinders shown are similar. The lateral areas of the cylinders are 324 square centimeters and 576 square centimeters. 1. Maggie’s old rectangular fish tank is 12 inches wide, 24 inches long, and 13 inches tall. Her new fish tank has dimensions that are double her old one. By how much did the volume of her fish tank increase when she bought the new one? A 8 times B 6 times C 4 times D 2 times The volume of the smaller cylinder is 1,242 cubic centimeters. What is the volume of the larger cylinder? 2. The circumference of a circle is 3 times the circumference of a smaller circle. If the area of the larger circle is 486 square inches, what is the area of the smaller circle? F 18 in F G 2,208 cm3 2 H 2,944 cm3 2 G 54 in J 2 H 81 in J 1,656 cm3 3,726 cm3 5. A glass paperweight shaped like a hemisphere has a volume of 5 cubic inches. What is the volume of a similarly shaped paperweight if each dimension is four times as large as the smaller paperweight? 163 in2 3. The figures shown represent the faces of two cubes. If Matt knows the volume of the cube on the left how can he get the volume of the cube on the right? A 20 in3 B 80 in3 C 320 in3 m D 1,280 in3 7m A Multiply the volume by 7. B Multiply the volume by 49. C Multiply the volume by 343. D Cube the volume. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_115-122.indd 122 122 Holt Mathematics Exit Exam 4/14/06 9:58:04 AM Name OBJECTIVE 9 Date Class Ready for TAKS? Benchmark Post-Test (8.3)(B) 4. The circle graph shows the distribution of the ages of 200 people at a job fair. 1. There are 176 freshmen and 194 sophomores at a local high school. Only 60% of those students signed up to go to the homecoming dance. How many of the freshmen and sophomores did NOT sign up to go to the dance? 30% Over 25 A 40 70% Under 25 B 148 C 222 D 370 2. A cylindrical grain bin is being filled. The height of the grain bin is 15 feet and the diameter of its base is 8 feet. After the first 15 minutes, the height of the grain in the bin is 1 foot. At this rate, what will be the volume of the grain in the bin after one hour? Of the people over the age of 25, 15% are older than 50. How many people at the job fair are older than 50? F 5 G 9 H 21 8⬘ J 30 5. The number of cars entering a car wash between certain times is shown in the bar graph. About what percent of the total number of cars entered the park before 8 PM? 15⬘ F Number of Cars 100 16 ft3 G 64 ft3 3 H 96 ft J 256 ft3 75 50 25 0 3. Jim answered 25% of the questions on his history test incorrectly. If he answered 33 questions correctly, how many questions were there on the test? 8 AM to Noon 12 to 4 PM 4 to 8 PM 8 to Midnight A 0% A 25 B 42.5% B 30 C 75% C 40 D 87.5% D 44 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_123-128.indd 123 123 Holt Mathematics Exit Exam 4/14/06 9:53:36 AM Name OBJECTIVE 9 Date Class Ready for TAKS? Benchmark Post-Test (8.11)(A) 1. A new toy store is giving away 20 toy rings: 9 are red, 6 are white, and 5 are blue. A ring is selected at random and given to a customer. If the ring is red, what is the probability that the next ring, selected at random, is NOT red? 4. Each of the smaller squares inside the larger square shown is the same size. If the diagram represents a dart board, what is the probability of hitting a shaded square, assuming the board is hit? 9 A ___ 20 9 B ___ 19 11 C ___ 20 11 D ___ 19 F G 0.52 2. If 2 marbles are drawn simultaneously at random from a box containing 6 red marbles, 4 white marbles, and 4 blue marbles, what is the probability that neither of the marbles is white? F 0.48 H 0.56 J 0.92 5. A multiple-choice test has five choices for each answer. There are twenty questions. If a student guesses on the first two questions, what is the probability that the student will get both questions wrong? 6 ___ 91 6 G ___ 49 45 H ___ 91 1 A ___ 25 45 ___ 49 16 B ___ 25 J 3. At the end of a conference, 75 attorneys enter a prize drawing by placing their name tags in a box. After 8 name tags have been selected and removed from the box, Mrs. Jacobs has not yet won a prize. What is the probability that Mrs. Jacobs will win the next prize? Round to the hundredth place. 4 C __ 5 8 D __ 5 A 0.01 B 0.02 C 0.11 D 0.13 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_123-128.indd 124 124 Holt Mathematics Exit Exam 4/14/06 9:53:37 AM Name OBJECTIVE 9 Date Ready for TAKS? Benchmark Post-Test (8.11)(B) 3. Mavis bought 4 packs of yogurt covered raisins and recorded the number of purple raisins in each. Each pack contains 40 raisins. Jake conducted an experiment by rolling a standard number cube 300 times. The results of Jake’s experiment are shown in the bar graph. Use the bar graph to answer questions 1 and 2. 300 Tosses of a Number Cube 70 Number of Times Tossed Class 60 60 55 50 46 40 55 43 42 30 20 1 2 3 4 5 6 Digit 1. According to the data, what is the experimental probability of rolling a 4 on the next roll of the number cube? 12 2 6 3 8 4 10 B 0.300 C 0.333 D 0.900 1 B ___ 15 4. A local newspaper polled 50 residents of a small town to determine how they were going to vote on the proposal to tear down the community center. The results of the poll are shown in the table. 1 C ___ 60 1 D ___ 75 2. What is the approximate difference between the experimental probability and the theoretical probability of rolling a 4 on the next roll? Vote Frequency Yes 30 No 20 Based on these experimental results, and assuming that all 320 residents in the town vote, how many people could be expected to vote “Yes” to tear down the center? 0.033 G 0.100 H 0.150 J 1 A 0.225 1 A __ 5 F Number of Purple Yogurt Covered Raisins According to Mavis’s sample data, what is the probability that a randomly selected raisin from one of these packs is purple if all the packs are poured out together? 10 0 Pack 0.153 F 20 G 30 H 128 J Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_123-128.indd 125 125 192 Holt Mathematics Exit Exam 4/14/06 9:53:37 AM Name OBJECTIVE 9 Date Class Ready for TAKS? Benchmark Post-Test (8.12)(A) 1. During the first four days of a new pizza place’s opening, they sold a total of 143 pizzas. The sales per day were 26, 35, 53, and 29. Which measure of the data would be the most impressive to report to the public? 4. The number of patients treated at an emergency room each day for a week was recorded in the table. Patients Treated A range B mean C median Monday 62 Tuesday 52 Wednesday 51 Thursday 50 Friday 44 D mode Which measure of the data would NOT change if the number of patients treated on Monday was actually 8 less than recorded and on Friday was 8 more? 2. Egbert earned the following grades on his biology tests: 79, 84, 95, 84, 89, and 92. Which measure of the data will give him the highest overall score? F F range G mean G mean H median H median J range J mode mode 5. A pet store is analyzing a frequency table to identify the number of fish they sold last year. Which measure of data describes the most popular kind of fish sold? 3. A set of data has 10 values, no two of which are the same. If the largest data value is removed from the set, which of the following statements MUST be true? A The range of the first data set is greater than the range of the second data set. A range B mode C median B The mode of the first data set is greater than the mode of the second data set. D mean C The medians of the two data sets are the same. D The mean of the first data set is less than the mean of the second data set. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_123-128.indd 126 126 Holt Mathematics Exit Exam 4/14/06 9:53:37 AM Name OBJECTIVE 9 Date Ready for TAKS? Benchmark Post-Test (8.12)(C) 1. The census bureau surveyed families in a certain geographic region to find out how many children lived in the home. The survey results are shown in the bar graph. 4. Zack gathered information about the approximate price range of cars parked at the mall. He used the information to create the bar graph and the circle graph shown. The circle graph accurately reflects the information gathered, but two of the columns in the bar graph were switched. Census Bureau Survey Results 70 60 Frequency Class 50 Price Range of Cars 40 35 20 30 Frequency 30 10 0 0 1 2 3 Numbers of Children 4 or more 25 20 15 10 5 0 Approximately how many of the families surveyed had children living at home? A 45 B 70 C 185 D 230 19% H 32% C 119 D 109 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_123-128.indd 127 Over 50 Under $15 33% $35–$50 14% $25–$35 15% $15–$25 28% According to the information in the circle graph, which two columns of the bar graph were switched? F 3. The students at a local high school recorded the number of votes that each of three teachers received for “Favorite Teacher.” A total of 280 students voted. Mr. Bradley received 42.5% of the votes and came in first place. If a bar graph is constructed, and the vertical axis represents the number of votes received, which of the following could be the height of the bar for one of the other teachers? B 120 35–50 Over $50 10% 105% A 125 25–35 Price Range (in thousands of dollars) G 25% J 15–25 Price (in thousands of dollars) 2. Of the 420 people at a concert, 80 people are attending alone, 105 people are with a friend, 135 are with a spouse, and the rest are with another member of their family. If a circle graph is constructed, which of the following is the approximate percentage needed to represent the number of people attending the concert with a friend? F Under 15 Under $15 and $15–$25 G Under $15 and Over $50 H $25–$35 and Over $50 J 127 $25–$35 and $35-$50 Holt Mathematics Exit Exam 4/14/06 9:53:38 AM Name OBJECTIVE 9 Date Class Ready for TAKS? Benchmark Post-Test (8.13)(B) Use the circle graph to answer questions 1 and 2. Use the bar graph to answer questions 3 and 4. The circle graph shows how a company’s budget was distributed last year. The bar graph shows the number of moviegoers who prefer certain types of movies. Janitorial 6% Moviegoer Preferences Romance Operating Expenses 33% Salaries 46% Horror Action Drama Supplies Employee Benefits 9% 6% Comedy 0 Budget Distribution 100 200 300 400 Number of Moviegoers 1. Which statement is NOT true? 3. Which statement is NOT true? A Salaries made up slightly less than half the budget. A Horror movies are preferred the least. B Salaries and Employee Benefits together made up more of the budget than all the other categories combined. B More than twice as many moviegoers prefer Drama to Romance. C Action movies are preferred by more moviegoers than Comedy movies. C Operating expenses made up more than one-third of the budget. D Drama movies are preferred the most. D Janitorial services and Employee Benefits made up equal parts of the budget. 4. Which is a reasonable conclusion from the information provided in the graph? F 2. Which is a reasonable conclusion from the information provided in the graph? F G There’s a larger potential audience for dramas than other types of movies. The company needs to cut down on its salaries. G The company needs to increase its budget for operating expenses. H Horror movies do not make a profit. J H The company budgets approximately 1/8 of the amount of Salaries for Employee Benefits. J There are too many drama movies produced. Moviegoers prefer Horror movies the least because they are rated “R.” The company does not spend any money on medical insurance. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_123-128.indd 128 128 Holt Mathematics Exit Exam 4/14/06 9:53:38 AM Name OBJECTIVE 10 Date Class Ready for TAKS? Benchmark Post-Test (8.14)(A) 1. An ice cream company reported that the average price of vanilla increased by 0.4% per year from 1949 to 1965. What additional information is needed to calculate the average price of vanilla in 1965? Use the Venn diagram to answer questions 4 and 5. The Venn diagram shown represents all 840 students at a school. The circle on the left represents the students who have taken Mr. Jones for history, and the circle on the right represents the students who have taken Ms. Smith for science. A the average price of vanilla in 1900 B the average price of vanilla in 1949 C the average price of vanilla in 1970 Mr. Jones Ms. Smith D the range of vanilla prices from 1949 to 1965 2. Holly’s mother’s age is 10 years more than 4 times Holly’s age. If Holly’s mother is 32 years old, which equation can be used to determine Holly’s age? F Z X W 4x ⫽ 32 G 4(x ⫹ 10) ⫽ 32 4. What does the section labeled with a Y represent? H 10 ⫹ 4x ⫽ 32 J Y F 4x ⫺ 10 ⫽ 32 3. Sarah bought a pair of pants on sale for 40% off the original price. If the original price was x, which equation could Sarah use to find the sale price, s, of the pants? Students who have taken Ms. Smith for science but have not taken Mr. Jones for history. G Students who have taken both Ms. Smith for science and Mr. Jones for history. 2x A s ⫽ x ⫺ __ 5 H Students who have not taken Mr. Jones for history. 2s⫽ x B s ⫺ __ 5 J All students who have taken Ms. Smith for history. 5. Which of the labeled sections represents the students who have taken Mr. Jones for history but not taken Ms. Smith for science? 2x C s ⫽ x ⫹ __ 5 2 D s ⫽ x ⫺ __ 5 A W B X C Y D Z Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_129-134.indd 129 129 Holt Mathematics Exit Exam 4/14/06 9:53:57 AM Name OBJECTIVE 10 Date Ready for TAKS? Benchmark Post-Test (8.14)(B) 4. The value of a $250,000 home in a certain area increases by approximately $12,000 per year. After how many years will the home be worth approximately $310,000? 1. A full swimming pool that is 6 feet deep by 35 feet long by 15 feet wide is being emptied at a rate of 60 ft3 every 10 minutes. How many minutes would it take to empty the pool at that rate? 2 yr A 5 min F B 53 min G 3 yr C 525 min H 4 yr D 3,150 min J 5 yr 5. A farmer is plowing the circular field shown. If the farmer can plow approximately 500 square feet per minute, about how many hours will it take him to plow the whole field? 2. Jeff bought a tie that was on sale for 35% off and a hammer for 55% off. The original cost of each was $25.00. If the tax rate is 7.5% and Jeff gives the salesclerk two $20.00 bills, how much change should he get back? F Class $10.44 G $17.50 H $22.50 J 400 feet $29.56 3. A cylindrical barrel is to be filled with oil. What additional information is needed to determine how much oil the barrel will hold? A 4 hr B 5 hr 4 ft C 200 hr D 251 hr A the lateral area of the barrel B the radius of the barrel C the surface area of the barrel D the weight of the barrel Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_129-134.indd 130 130 Holt Mathematics Exit Exam 4/14/06 9:53:58 AM Name OBJECTIVE 10 Date Ready for TAKS? Benchmark Post-Test (8.14)(C) 4. The volume of a cylinder is 13,500 ft3. Which of the following could be the height and radius of the cylinder in feet? 1. A small theatre has 30 rows of seats. The first row has 100 seats; the second row has 98 seats; and the third row has 96 seats. If this pattern continues, how many seats will there be in the last row? F 10 ft and 90 ft G 20 ft and 45 ft A 38 seats H 20 ft and 35 ft B 40 seats J C 42 seats 15 ft and 30 ft 5. The point (⫺3, 2) is reflected across the line with equation y ⫽ x. The resulting point is (3, ⫺2). The new point is again reflected across the line with equation y ⫽ x. The resulting point is (⫺3, 2). If this pattern continues, what will be the resulting x-coordinate for the point after 2 pairs of reflections? D 44 seats 2. The surface area of a cube is 300 square feet. What is the best first step to determine the length of one of the sides of the cube? F Class Take the cube root of 300. G Take the square root of 300. y H Divide 300 by 4. J 10 Divide 300 by 6. 8 3. Which of the equations could represent the step before Step 2 in the solution to an algebra problem? 6 4 2 Step 1. –10 –8 Step 2. 12 ⫺ 6x ⫹ 15 ⫽ ⫺15 –6 –4 –2 2 –2 Step 3. 27 ⫺ 6x ⫽ ⫺15 –4 Step 4. ⫺6x ⫽ ⫺42 –6 4 6 8 10 x –8 Step 5. x ⫽ 7 –10 A ⫺2 (6 ⫹ 3x) ⫹ 15 ⫽ ⫺15 B 2(6 ⫹ 3x) ⫹ 15 ⫽ ⫺15 A ⫺3 C 12 ⫺ 3(2x ⫹ 5) ⫽ ⫺15 B ⫺2 D 12 ⫺ 3(2x ⫺ 5) ⫽ ⫺15 C 2 D 3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_129-134.indd 131 131 Holt Mathematics Exit Exam 4/14/06 9:53:58 AM Name OBJECTIVE 10 Date Class Ready for TAKS? Benchmark Post-Test (8.15)(A) 4. A newspaper editor has been given four articles to print in the paper. The circle graph shown belongs to one of the articles. Which list of data goes with the circle graph? Use the figure to answer questions 1 and 2. 1. If the figure is a solid billiard ball, the amount of ceramic needed to make the ball best represents the ball’s— A diameter B circumference C surface area D volume F 2. If the figure is a world globe, the straight line distance through the globe from the north pole to the south pole best represents the globe’s— F diameter G The election results were as follows: 40% for Barry, 24% for Andrews, 22% for Jones, and 14% for Hawthorne. G circumference H surface area volume J 3. Which of the following transformations describes how to get from point A to point B ? H The school budget is allocated accordingly: 40% for building, 35% for salaries, 20% for books, 5% for other. y 10 8 J 6 4 A 2 –10 –8 –6 –4 –2 –2 –4 2 4 6 8 10 A survey of citizens had the following results: 23% supported totally financing the new library, 10% supported partially financing the new library, 34% did not support financing the library, and 33% were undecided. x B The town census reported the following for the ages of residents: 4% were over 75 years old, 11% were between 50 and 75 years old, 60% were between 25 and 50 years old, and 25% under 25 years of age. –6 5. If the product of the quantities 8 ft, ft , and 5 s is found, what units of 17 __ s2 measure will be in the answer? –8 –10 A a 90° counter clockwise rotation ft A s__ ft2 C __ s B a 180° rotation C a reflection over the line with equation y ⫽ ⫺x D a reflection across the x-axis Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_129-134.indd 132 132 B ft ⴢ s D There will be no units of measure. Holt Mathematics Exit Exam 4/14/06 9:53:58 AM Name Date OBJECTIVE 10 Class Ready for TAKS? Benchmark Post-Test (8.16)(A) 3. What is the missing term in the pattern? 1. Use the examples and non-examples provided to determine which of the following is NOT a tergon. Tergons ⫺5, ______, ____ 8 ⫺7 , ____ ___ y3 x 2y 7 x 3y 9 6 A ___ xy 5 Not Tergons ⫺6 B ___ xy 5 6 C __ y5 ⫺6 D ___ y5 4. For which of the following sets of points is a linear model reasonable? A B F {(3, ⫺5), (4, ⫺2), (5, 3), (6, 0)} G {(⫺5, 0), (⫺1, ⫺2), (3, 4), (7, ⫺6)} C H {(⫺2, 2), (1, 0), (4, ⫺2), (7, ⫺4)} D J 5. Gertrude made the conjecture that the 1 is all domain of the function f (x ) ⫽ x__ real numbers. Which of the following 2. The table lists several powers of the number 7. Powers of 7 7 7 7 2 49 7 3 343 7 4 2,401 7 5 16,807 7 6 117,649 77 823,543 7 values of x is a counterexample to Gertrude’s conjecture? Resulting Value 1 8 {(6, 1), (4, 4), (0, 2), (5, 8)} A (⫺2)2 B 2 C 0 1 D ⫺__ 2 5,764,801 Given that the digit in the ones place will continue to repeat in the pattern above, what will be the digit in the ones place in 495? F 7 H 3 Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_129-134.indd 133 G 9 J 1 133 Holt Mathematics Exit Exam 4/14/06 9:53:58 AM Name OBJECTIVE 10 Date Class Ready for TAKS? Benchmark Post-Test (8.16)(B) 4. Which statement about the quadrilaterals shown is NOT true? 1. If the variables x and y represent real numbers, which statement is NOT always true? B C A If x ⬎ y, then ⫺x ⬍ ⫺y. B If x ⬎ y, then x ⫹ y ⬎ 0. C If x ⬎ y, then 2x ⬎ 2y. D A y D If x ⬎ y, then __x ⬎ __. 2 2 E F H G 2. If the variables x and y represent real numbers and x ⬎ y , which statement must be true? F x⬎y G y⬎x F H 2x ⬎ 2y J x2 ⬎ y2 G If ⬔B ⬔D and ⬔A ⬔C, then both quadrilaterals are parallelograms. 3. The value of A in the triangle shown CANNOT equal which of the following quantities? H If ⬔B ⬔A and ⬔D ⬔C, then both quadrilaterals are parallelograms. B° _ J A° The sum of the measures of the angles of both quadrilaterals is 720°. C° _ _ _ _ _ EF_ , CD FG , DA GH , If BC_ and AB HE , then both quadrilaterals have the same perimeter. 5. Which of the following statements is NOT true? A 90 ⫺ C A The diagonals of a rectangle are always congruent. B 180 ⫺ C C 180 ⫺ 2C B The diagonals of a square are always congruent. D 90 ⫺ B C The diagonals of a trapezoid are sometimes congruent. D The diagonals of a rhombus are never congruent. Copyright © by Holt, Rinehart and Winston. All rights reserved. AGA07_RTAKS11_129-134.indd 134 134 Holt Mathematics Exit Exam 4/14/06 9:53:59 AM