Buckle Down

Buckle Down
New York
3rd EDITION
Mathematics
Fully Aligned to All Tested
Performance Indicators
ISBN 0-7836-7W3-1
ISBN 978-0-7836-7H03-2
3BDNY08MM03
345678910
Cover Image: © Thinkstock
Triumph Learning® 136 Madison Avenue, 7th Floor, New York, NY 10016
© 2011 Triumph Learning, LLC
Buckle Down is an imprint of Triumph Learning®
All rights reserved. No part of this publication may be reproduced in whole or in part, stored in a retrieval system, or
transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without written
permission from the publisher.
Printed in the United States of America.
Book I
Tips for taking the test
Here are some suggestions to help you do your best:
•
Be sure to read carefully all the directions in the test book.
•
Read each question carefully and think about the answer before choosing
your response.
This picture means that you will use your ruler.
Book 1
Page 3
Sample A
Simplify the expression below.
36 - ^
x 23
4
A
12
B
18
C
48
D
216
Sample B
Use your ruler to help you solve this problem.
What is the area, in square centimeters, of the square shown below?
A
9
B
16.25
C
18
D
20.25
STOP
Page 4
Book 1
£
1
Simplify the expression below.
94 x 9~6
A
92
B
910
-
= r
© 9"2
D
/\
2
924
Which is tWeG^intercep^pf the line shown on the coordinate plane below?
;
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3
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4
Co On
Book 1
Page 5
3
If triangle DE£-is-dJlated by a scale factor of 3 to form triangle D'E'F', what will be the
coordinates af D'V
3.
<
—
—
10'
-
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9
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- -
-9
10,
1
B
(-1, -4)
C
(5,2)
■
i
t
b(2, -
2(3) , -I
F(o,3)
(6, -3)
!_4:
Simplify the expression below.
2xy(5xy + 9y)
A
10xy + 18x
B
7xy + 11xy2
C
10x2y2 + 18xy
^D) 10x2y2 + 18xy2
Page 6
-
-B
!
1
(-2,1)
-6
-7
i
A
-
1
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5
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1!
£3456'r
Book 1
9 Itf"
A
5
Which table represents the following equation?
y = -3x + 5
X
y
17
-12-
1 ' °
^4
B
5
X
y
-4
-i
>
0
5
.
4
X
17
y 0
5
** 4
7
X
+ IZ
'
y
-17
^
'
y
7
e>
-12
-7
0
5
" 4
-17
,
*
-2
-ZZ.
Which inequality represents the following situation?
-ion
_
Negative six times a number, n, is^at most)twelve.
A
-6n <12
i) -6n < 12
C
-6n > 12
D
-6n > 12
Co On
Book 1
Page 7
Which number line shows the solution set of the following inequality?
2m + 1 > -5
*
-5-4-3-2-10
B
1
H—I—h
2
3
4
-A
-I
5
H—I—*—I—I—hH—I—I—I—h
-5-4-3-2-10
1
2
3
4
5
«H—h^-H—I—hH—I—I—h-H*
-5-4-3-2-10
1
2
3
4
5
-4
I—4—I—I—hH—I—h
-5-4-3-2-10
8
1
2
3
4
"3
-2-
■+*
5
The scale on a road map is shown below.
SCALE
2 cm = 75 km
The distance between Rochester and Greenport on a map is 13 centimeters. What is
the actual distance, in kilometers, between the two cities?
A
88
487.5
C
497.5
D
975
487.6
3.A5
n 5o_
m
15
ST
Page 8
Book 1
9
Which is the equation of a line with a slope of | and a y-intercept of 2?
'H*
10
B
y
= fx
- 2
'
4
D
y = -2x - f
'
4
Which of the following is equal to x2 - 7x + 10?
A
(x + 5)(x + 2)
B
(x + 5)(x - 2)
C
(x - 5)(x + 2)
M
—>
10)
M-5U -z
=T +10 /
(x-5)(x-2)
11
Simplify the expression below.
8x4y
2x2y2
y
B
^V
C
**-
^
ex2
I
*
y
Co On
Book 1
Page 9
A
12
Matilda draws an angle that measures 72°. Which is the measure of the
cqmpjementary angle to the angle that Matilda drew?
(A) 18°
13
B
72°
C
108°
D
288°
ADD
OP TO
Jayden's annual salary is $43,000. He receives a bonus that is/I2)% of his annual salary.
How much is Jayden's bonus?
A
$870
®
$5,160
C
$8,700
D
$49,300
$ 4-3,000 (.12%) - $43,000 (.• 12)
$43,003
*
.12
+. 8 boOO
430OO0
£?
14
Ms. Poulet takes her daughter to lunch. The bill for the lunch is $18.75. She leaves
a tip that is 18% of the cost of the lunch. Which is the best estimate for the amount
of the tip?
A
$2
C
$4
D
$5
\%
ISO 00
l 8 1 50
Page 10
Book 1
15
Which verbal expression represents the algebraic expression 4x - 9?
A
a number minus four times nine
-Tt-V'^?
(5) the product of four and a number decreased by nine
16
C
four times a number less than nine
D
a number times four increased by nine
//"71-9
9 ~4*7l - Cj-Hn
tx.^+q =
4r\ +Q
Which is the solution of the following inequality?
-4p + 2<-18
A
P<-5
B
p>-5
C
p<5
_^,
j,
~=^~
-4
p>5
BV a
17
Which is the GCF of 40xV and 32x2y?
(D
^C)
8x2y
O
©
o
*gJ •
Co On
Book 1
Page 11
b 118:
Q-375
Which decimal is equivalent to |%?
8
A
3.75
B
0.375
C
0.0375
D)
0.00375
8)3.O0O
"O I
,375
30
100
= L 00375
bO
HO
40
—
i
o
19
A chef heated s
F
Which shows the temperature in °F?
1^
= |C + 32
A
85°F
B
171°F
-45
©
203°F
o
D
222°F
45
11
2 03
F = 171+32
Page 12
Book 1
/\ 20
Which table of values was used to graph the line shown below?
1
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B
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Co On
Book 1
Page 13
21
In the diagram below, which pair of angles must be congruent?
A
Z.1 and Z.3
B
£.2 and zl5
C
jL3 and LS
(S) ^1 and
b
22
Which rule shows the relationship between x and y in the table?
X
y
-3
-18
-2
-12
-1
—
-6 _
6 /{° =A3
A
y = -6x
CD y=6x
C
y=x-6
D
y = x + 6
iA = («7'X-»-D
Page 14
Book 1
is O
23
In the diagram below, line r is parallel to line s, and line t is a transversal.
Which two angles must be congruent to Z.2 in the diagram?
A ^andCj)
C
24
Which situation is best represented by the graph below?
A
the amount in a bank account as money is deposited each week
B
the amount of gas in a car as it is being filled
fr) " ".—L
I/7
(Q the volume of water in an aquarium as it is being drained
D
k
c
K_
the height of a plant from 3 weeks to 12 weeks
Co On
Book 1
Page 1 5
25
Simplify the expression below.
(4y2 + 5y - 3) + (y2 - 8y - 2)
A
4y2 + 3y + 5
® 5y2 - 3y - 5
26
C
5y2 + 13y+5
D
5y2 + 3y - 5
Which equation does the graph shown below represent?
J_
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is
DP
1 n
F
A ft
[X) 2x + y = -4
B
2x-y = 4
C
-2x + y = -4
D
-2x - y = 4
HJ
T
K
-4-
b
m
inn.
Page 16
Book 1
27
Which graph represents ajTinejar relationship?
!
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ZL
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Co On
Book 1
Page 1 7
C i2p:
In the diagram below, line p and line q are parallel, and line m is a transversal.
m
-42"
-["31?
■+-P
42"
What is the measure of z.y?
A
42°
B
84°
© 138°
D
148°
[||f; What is 12y3 - 6y2 divided by 3y?
A
4y-2
B
4y - 2y
C
4y2 - 2
«i*4l-
Page 18
Book 1
A 30
What is the unit price of six markers that cost $8.34?
® $1.39
B
$1.41
C
$1.49
D
$2.34
\
Pee. qmc
78.34
rvuuas-*
23
54
31
Which is the solution of the following inequality?
3(8 - 2x) > 2x
A
x>3
x<3
32
C
x>6
D
x<6
24-(of > 2.7C
Simplify the expression below.
(3x2 - x + 4) - (5x - 7)
A
3x2 + 4x + 11
B
3x2 + 4x - 3
C
3x2 - 6x - 3
each
* |c4)
2-bX +4+7
[D) 3x2-6x+ 11
Co On
Book 1
Page 19
A
33
Which rule shows the relationship between x and y in the table?
r -h <
X
y
-2
-7
-1
-3
<:
+1
^~
2
34
y = 4x - 1
C
y = -4x + 1
D
y = -4x - 1
\
is 1
What is(5x3 + 3x)multiplied
by 2x2?
;
A
7x5 + 5x3
B
7x6 + 5x2
D
35;
+4-
4-
z+l
(C) 10x5 + 6x3
t>
+4-
\
(A) y = 4x + 1
B
5
+4-,
10x6 + 6x3
Which of the following is equal to x2
A
(x - 2)(x - 3)
B
(x - 1)(x + 6)
C
(x + 1)(x + 6)
(x + 2)(x + 3)
Page 20
a
Book 1
36
In the diagram below, line g is parallel to line h, and line f is a transversal.
Which pair of angles are supplementary? -.
\adth a som of
^1 and Z3
Z.1 and
£.3 and
and
37
Simplify the expression below.
I.
6x2y3
tfi-
3x3y
A *
C
'
I
1
^
D K
X2
Co On
Book 1
Page 21
38
Evaluate the expression below.
4° + 2"2 X8- 16
A
4°
S
•z
x &-llr>
®
-13
B
-10
!
C
20
X ft -lb
i 4. -L4-
D
49
<—
4-—!— x e-iu
+ z}
3-I
-l^»
5
39
In the diagram below, which pair of angles is complementary? •■ Two
Pt SvjrwOF
A
Z.1 and Ll
LI and Z.3
C
Li and Z.4
D
LA and
Page 22
Book 1
G 40
X
-6
y
-1 0-
0
-3
y
1
X
1
6
-3
0
4
2
y
6
X
0
4
-6
1
y
-3
X
0
4
-6
3
6
1
4
0^
( •VA
V
r-%- 5- 4- 3-2-
t -< ^)
n
10
1U
a
—A
—<4
*«•
-2
I?
-3
-4
-S
-6
-7
-8
-a
■m
t
i
:
<
0*
jb
\
( 0 i- )
1
i
7
•x
t) 1
14 T
f)
^"
Which table of values was used to graph the line shown below?
A
B
<£>
D
2
Book 1
Co On
Page 23
A [4iij
Which inequality represents the following situation?
One half times a number, x, is greater than negative ten.
>
A
B
|x<-
C
1x^-1
D
lx*-<
What are the coordinates of the /-intercept of the line shown below?
i
"v ■s,
n
J
"">
Q
Ic
N,
0-9- B- 7 - 6-5- 4- 3- 2 -
1-?
1
2
-2
s
7
(
1
a*
"s
-3
-4
-5
-6
-7
-8
-9
-10
r
IAJ (0,2)
B
(0,4)
C
(2,0)
D
(4,0)
STOP
Page 24
Book 1
Book 2
Tips for taking the test
Here are some suggestions to help you do your best:
•
Be sure to read carefully all the directions in the test book.
•
Read each question carefully and think about the answer before writing
your response.
•
Be sure to show your work when asked. You may receive partial credit if you
have shown your work.
•
Use your calculator to help you solve the problems on this part of the test.
This picture means that you will use your ruler.
Mathematics Reference Sheet
FORMULAS
CONVERSIONS
Temperature Conversions
Pythagorean Theorem
b2
a
F=|C + 32
C = f(F - 32)
Simple Interest
/ =prt
Measurement Conversions
1 mile = 5,280 feet
Distance Formula
1 yard = 3 feet
d = n
Book 2
Page 25
43
Jordan exchanged $40 U.S. dollars for 24 British pounds. At this exchange rate, how
much will Jordan receive in British pounds for $100 in U.S. dollars?
Show your work.
- 2
Answer
Page 26
60
Book 2
44
Solve the inequality below for c
15-(3c+ 1)<<
6
Show your work.
15- (3C+ )
C +1*
l5-lttT?O
c + o>
75]-3C - I
c + u>
Rs - 11- 3c
C + \p
C
^ ■+ >/c -^(
4C
4,
-I
C>2.
Co On
Book 2
Page 27
■45:
In the diagram below, lines a and b intersect, and the measure of Az is 34°
14b
What are the measures of Lx and Ly in the diagram?
Show your work.
1.1\
ore
Z oC
Ore
Answer Lx =
141/
34!
Page 28
Book 2
46
Lance graphed the lines yf = x - 3 and y2= -2x + 3 on a coordinate plane to solve the
system of equations.
Part A
On the coordinate plane below, graph each equation.
%
V
\
-
X
—
-
-1
-1
5
0
-3
0
3
1
-2
I
1
3
0
4
1
5
2
to
3
3
:3~
4 -5
1
-
*0-9 -(!
8
7
—
—
7
6
_.
_L.
-
\
—
....
...
r
I
9
_
- -
_
_.
2
i -:i -i! -
\
.....
-
0
*
i
~
1
-7 -(
/
1
(17
!>
8
9 1
_..
0*
!
-
-
-
-7
i
r
"f™
!
—
-
—
--
- -
_
/
u
/
/
1
_.
/
_
-
r
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—
-5
-
-7
-
'\
r
-
-
t
\
-
- —
_!_
-
iX+3
-
\,
PartB
Is there a solution to the system of equations? If so, what is the solution? If not,
explain why.
the
tp tvus
svstem
of
is
(3,-0, Tne solution! >s the poikjt dp
Co On
Book 2
Page 29
47
Use the graph below.
1
Time
On the lines below, describe a situation that could be represented by the graph.
4H - A CA£ IS tnZlVEM
6 AS
STOP STOP AT A
TO 6CT 6A-S Fog. A CQOPtC
VOO t?et\J£
TO yooft FmOftt
WALV6S TV. A HOOSE TO VELJL C00IM6S.
She
AT QKjg noo&g to 9sul cookies fog. A
Coopte of
Page 30
Book 2
wali^s
rtorv\E.
48
Stadium Avenue intersects Harrison Street at a 68° angle, as shown in the
diagram below.
Harrison Street
Stadium Avenue
What is the measure of /Ls>
Answer
ll£
°
On the lines below, explain how you determined the measure of Ls.
{oR°ftu&\.e and MJ61.E .9
€>\JpPu£j(\/\€MVtytkJI An)^iJE£
*Trt£ iV\6Pte\)££
OF
Age
HAVE. A Survi of
AM£il£ S ; X
Su1
"tO DGTE^rVliNJB
VCTEt>
(o^° ffcoflfl
l So0,
Co Oil
Book 2
Page 31
49
Factor the GCF from the polynomial below.
Show your work.
i a , ii, i g
J
T^
I
l
i
m
all th(Z6e
r
a
9C
IW7O
Answer
Page 32
Book 2
50
Valeria drew trapezoid ABCD and used a transformation to create trapezoid A'B'C'D'
in one transformation.
444-
i
—
1
■
1
-
—
!
-
!
-
2
B
—
—<
1
-10
- 7 -i6 -5 -4 -3 -
2
3
1
'c -) Z
5
6
T
~
)
1
1'
C -2
i "*' t
\
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What one transformation did Valeria use to create trapezoid A'B'C'D' from
trapezoid ABCD?
Answer
A Us)
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Book 2
Page 33
51
The cost of craft clay, in four sizes, is shown in the table below.
CRAFT CLAY PRICES
Size
Cost
Woe*.
4oz
$7.28
»7.2g-M0tL.
9oz
$16.11
Alb.il ~qo«.
16 oz
$26.40
&2lo.40-rHoOZ.
25 oz
$41.75
^41-75-^ZSta.
UNIT COST
ft 1-32
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Part A
What is the unit cost of each size?
Show your work.
(/nft Price
per log.
?
Parts
Which is the best buy? Explain your answer.
Trig &€5T Buy is -me
is
Page 34
l(o
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TV\e
Book 2
thc
sties.
52
Sebastian drew figure QRS. He plans to draw figure Q'R'S' by translating QRS 2 units
down and 8 units to the left.
Part A
On the coordinate plane below, draw and label Q'R'S'.
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Next, Sebastian plans to draw figure Q"R"S" by translating figure Q'R'S' 10 units up
and 3 units to the right. What will be the coordinates of point S"?
Answer
S"H,g)
Co On
Book 2
Page 35
53
Theo simplified the expression (4x 2y3)(6x3ys) as shown below.
(4x"2y3)(6x3ys) = 24x"6y15
Part A
Did Theo simplify the expression correctly? On the lines below, explain how you
determined your answer. If Theo's answer is not correct, give the correct answer.
') - L4)( (pH"2+3u5+s: = 24-TC'tj8 = 24t(i4s
i
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PartB
What will Theo get if he correctly simplifies the expression below?
3x3y
Answer
Page 36
Book 2
KVAULTIPLICT5
54
Look at the inequality below.
-3d+ 5> 17
Solve the inequality for d.
Show your work.
Answer
STOP
Book 2
Page 37