Algebra1_Honors Review

Name:
Period: - - -
Algebra I Honors Readiness
Short Answer
Write an algebraic expression for the verbal expression.
1. 35 less the product of 4 and x Evaluate the expression. 2. 2+2(2)2(5) +8
3. 54-3(8 - 4)
4. Evaluate the following expression if a = 12, b = 5, and c = 4. 3c + bc - 2a 5. Evaluate the following expression if x = 12, Y = 8, and z = 6. x 2y-2z 4
Find the solution set for the inequality using the given replacement set.
6. 2a-8~27; {14,15,16,17,18} Simplify the expression. 1fnot possible, write simplified. 7. 2(1ld-5)
8. 4(8n + 10d -7d) Simplify the expression. 9. 9x+8(6x+2) Write an algebraic expression for the verbal expression. Then simplify. 10. three times the sum of c and d decreased by d
The following table shows the monthly charges for subscribing to the local newspaper.
Number of Months
Total Cost ($)
2
4
30.50
61.00
11. Write the ordered pairs represented by the newspaper subscription table.
12. Use the data in the newspaper subscription table to find the cost of the subscription for a year.
ID: A
The students in Mr. Johnson's science class recorded the average monthly high temperature for September
through February. They used the data to draw the following bar graph.
Average Monthly High Temperature
70
65 60 55 ,-., 50
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45
40
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... 35
g,
30
E
25
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f-< 20
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.0
0
u
15
10
J.
Q,l
0
Q,l
00
Q,l
.0
a
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0
C
Q,l
a
Q,l
u
Q,l
~
= .0,el
=
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Month
13. How much warmer was the average high temperature in October than in February?
The following circle graph shows the colors people choose when buying sport utility vehicles at Smart Buy
Motors.
SIN Colors
blue
25%
14. If 600 sport utility vehicles were sold, how many more blue ones were bought than silver ones?
2
15. Percentage of Households With a
Soccer Ball
Sweden
61%
Germany
59%
France
53%
41%
USA
Source: Phillips Electronics.
www.usatoday.comlsnapshot.htm (11-14-2003)
What type of graph would be the most appropriate to display the data from the soccer ball table?
Write each fraction as a decimal.
16.
Write each mixed number as a decimal.
17. - 123
Write each decimal as afraction in simplest form.
18. 0.2
0
Replace each
with <, >, or =. .
0 --&
'730 -'3
19. -0 .5
I
20.
21. Order this set of rational num bers from least to greatest.
I
7
I
-2.7, -35', -2'8' -39'
Find each product. Write in simplest form.
I
2
22. 10 x 5'
23 .
-~3
x
(-32.)
5
Find each quotient. Write in simplestform.
24. 23
-0-
(-~)
15
3
25 . -21.2-,-1.
' 2
Find each sum or difference. Write in simplest form.
26. ~+~
9
6
27. 28. 29. ~+(-~)
5
8
-5I
-3~-(-li)
Solve each equation.
I
4
I
3
30. x -"7 = 5"
31. a-"2=5"
32. -5.4=-1.5+h
33. -22=-40+r
34. ~+x=1.
5
7
35. 11.4 = a + 1.8
36. -448 = 64q
37. (-2+)p =-3
38. 2x + 7 = 79
a
39. --7=5
-7
40. -7m+20=-17m-1O
41. ~k-5=-7+1k
5
5
42. 6 = -2(lOn + 7)
3
43. 4-5"(3a+4)=7
Translate each sentence into an equation. Then find each number.
44. The difference between five times a number and seventeen is 13.
4
Solve each problem by writing and solving an equation.
45. Tomas collects miniature cars. He bought a display case at a cost of $5 .95. He also bought 3 miniature cars. If his
total cost was $11.05, how much did each car cost?
Solve the inequality. -3b
46. ->-3
8
47. 9m <:;. - 72
48 . -2f < 18
49. 3h+9 > IS
50. 3a+3-6a > IS
Write each expression using exponents.
51. b·b·b · b·b·b · g·g · g · g · g·g
Write each number in scientific notation.
52. 2,825
53. 0.2447
Use the set ofdata to make a line plot.
54.
o
2
-I
o
o
-3
2
-2
o
-1
-2
-1 Anthony's math scores for the quarter are 90, 91, 72, 91, 92, 92, 92, 91, 90, 90, and 91. 55. Find the mean, median, and mode of Anthony's math scores. Round answers to the nearest tenth if necessary.
Find the mean, median, and mode for the data set. Round answers to the nearest tenth
which best represents the data.
56.
Stem Leaf 6
4 7
7
I 2
8
0
9
8 8
7
6 6
9
6
9
614 = 64
5
if necessary.
Then tell
The spinner above is used in a game. What is the probability ofthe following events?
57. P(composite number)
58. P(less than 3)
A bowl contains 7 green chips, 4 blue chips, and 9 red chips. You choose one chip at random. Find the
probability.
59. P(red chip)
60 . P(green or blue)
Find the odds ofthe outcome
if the spinner is spun once.
61. even number greater than 3
Find the odds ofthe outcome
if a computer randomly picks a letter in the name
"The Grand Canyon ".
62. the letter a
Find the odds ofthe outcome
if a computer randomly chooses a number from
1 to 30.
63. the number is a multiple of 5
Find the square root.
64. If necessary,
round to the nearest hundredth.
±~ 196
100
Translate the sentence into an equation.
65. The product of five and four more than x is 60.
66. Four less than the product of eight and the number g is equal to ten more than g.
6
Solve the problem.
67. Angela bought DVDs online for Christmas gifts. Each DVD was $18.95, and she paid $7.00 altogether for
shipping. Her total bill was $177.55. How many DVDs did she buy?
68. Four is subtracted from a number, and then the difference is divided by 6. The result is 11. Find the number.
Solve the proportion.
If necessary,
round to the nearest hundredth.
69. Mr. Wong is looking at the plans for his new house. According to the plan, 2.4 inches equals 12 feet. If the length
of a wall is 16 feet, how long is the wall on the plan?
70. Allen's boat used 6 gallons of gas in 5 hours. At this rate, how many gallons of gas will the boat use in 12 hours?
71. Elena is painting her room. She can paint 350 square feet of wall space in 1%hours. At this rate, how long will it
take her to paint her room if it has 825 square feet of wall space?
Find the discounted price ofthe item.
72. radio: $59.00
discount: 20%
Find the value ofx in each triangle.
73.
55°
74.
40°
(x - 6)°
7
Find each missing length. Round to the nearest tenth ifnecessary.
b
75.
45°
16.2 m
45°
Find the value ofx in each quadrilateral.
76.
.x 0
123 °
Find the area ofeach figure .
77.
5.9 yd
8.6 yd
8
78. 18. l m
23.2 m
17.2 m
79.
11.9 yd
,
'6.2 yd
I
4.4 yd
Find the circumference ofeach circle. Round to the nearest tenth.
80. The diameter is 21.8 cm.
Find the area ofeach circle. Round to the nearest tenth.
81.
9
Find the area ofeachfigure. Round to the nearest tenth ifnecessary.
82 .
Identify each solid. Name the number offaces, edges, and vertices.
83.
/~ - ---
Find the volume ofeach solid. Round to the nearest tenth ifnecessary.
84.
14m
/
/
/
S.2m
/
8m
10 85. triangular prism: base of triangle, 11 .7 yd; altitude, 6.4 yd; height of prism, 15.9 yd
86.
5.5 em
7.7 em
,,
---------
I
,,
\
Find the surface area ofeach solid. Round to the nearest tenth ifnecessary.
87.
8 yd
I
I
)...-------- - ­
/
/
/
10 yd
/
/
14 yd
88. cylinder: radius 6.9 ft; height 12.1 ft
89. Find the length of the missing side. If necessary, round to the nearest hundredth.
b
23
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