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Extra Practice
Extra Practice
Chapter 1
Extra Practice
LESSON
1–7. See p. A14.
LESSON 1-1
Simplify each expression. Use the order of operations to justify your answer.
Identify a possible pattern. Use the pattern to write the next three numbers.
1. 13, 21, 29, 37,
,
,
,...
,
,
3. 165, 156, 147, 138,
2. 7, 8, 10, 13,
,...
,
,
4. 19, 33, 47, 61,
37. 9
,...
,
,
Extra Practice
2 9
45. 9
Commutative Property
47. 1 (2 3)
Figure 3
32 11
39. (6
11
42. 6,842
0
9
Identity Property
(1 2) 3
48. xy
Associative Property
50. 5
12. 41 4
9. 73
343
10. 55
3,125
13. 82
64
14. 122
144
11. 65
6
17. 4,096, base 4 4
2
16. 121, base 11 11
19. 1,296, base 6 6
1,000,000
3)3
7 10
9
(53 5 10) 592
46. 12 1
1 12
49. (x
z
Commutative Property
yx
Commutative Property
19 30
51. 5 10 2
54. 30
800
x
(y
56. 8 (2
10) 96
59. 15 (13
21. 8,000, base 20 20
39) 190
52. 3 (5 9)
135
55. 125 (2 3)
750
57. 3 (19
8) 75
60. (47
4)
88) 4
69
58. (10
540
61. 5 (157
2) 7
56
45)
560
LESSON 1-6
22. Maria decided to donate $1.00 to her favorite charity the first week of
the month and to double the amount she donates each week. How
much will she donate the sixth week? $32.00
Evaluate each expression for the given value of the variable.
62. 8k
65. v
1-3
7 for k
5
4 25
v for v
63. 9n
12 for n
20 24 66. 3r
20
66
6
r for r
11
5
64. 12t
15 for t
4
33
67. 5x 2
3x for x
3
54
Evaluate each expression for the given value of the variables.
Multiply.
24,000
26. 2,180 104 21,800,000
105
25. 318 103
28. 5.555 106 5,555,000
103
1.56
106
30. 2,056,000 2.056
109
33. 7,000,000,000 7.0
318,000
2 for x
70. 17
5a
_
72. _m
9
n2
4b
__
for a
2
5 for m
5 11
10 y
69. 3j
4k
20 for j
12 and k
3 and b
6 20
71. s2
3r
50 for s
8 and r
36 and n
6 45
73. 21
31. 65,400,000 6.54
107
LESSON
34. 206.7 103 2.067
105
Write each phrase as an algebraic expression.
10f for e
7
78. A music store sells packages of guitar strings. David bought s strings for
s
$24. Write an algebraic expression for the cost of one string. 24
Extra Practice
Chapter 1
LESSON
LESSON 1-8
Identify like terms in each list.
y
80. 9 5y __2 4g 2 y 2 y
79. 2d 5d2 x 4x2 d2 6x
5d 2 and d 2; x and 6x
b 6b
6
5k
3t
u
82. t
4u
5k
6
n
n
n
85. 11
3b
6b
3t
5t 2
3b
t
87. Write an expression for the perimeter of the
given figure. Then simplify the expression.
n
2; 4n
x
4t
6t 2
5t
7t
1. 5,
3,
3,
1, 2, 0
x
83. 8g
3g
86. y3
3y
11
11g
12
12
6y3
7y 3
3y
4. æ 22æ 22
LESSON
45
12. c
j.
90. 14 no
23 51.
94. 19 no
4
LESSON
17. 6
5, d
32
64 t
96
( 6)
21
7. æ21æ
3
9
10.
5
4
9
11.
7
9
( 2)
9
13. c
21
12, d
9
14. c
7, d
9
2
15. c
16, d
8
8
2-3
( 3)
21. a
Solve each equation. Check your answer.
100. t
9.
6. æ 13æ 13
d for the given values.
Evaluate a
38
9
3, 2, 4
3, 0, 2, 4
Find each difference.
LESSON 1-10
16 n
5. æ9æ
5, 0,
5,
95. 28 yes
96. Randall wants to buy a new video game. He has $53, which is $9 less
than he needs. Does the video game cost $62 or $65? $62
22
3.
1, 1, 3, 4
16. The temperature in Pierre at 8:00 A.M. was 33 °F . It rose 20 °F in
13°F
9 hours. What was the temperature at 5:00 P.M.?
91. 22 no
Determine whether each number is a solution of x
93. 31 no
1, 3, 1, 4
2-2
( 4) 4
8. 8
Determine whether each number is a solution of 17
92. 42 no
4,
4,
Find each sum.
2
89. 28 yes
2.
1, 0, 2, 5
Use a number line to find each absolute value.
LESSON 1-9
88. 31 no
Chapter 2
2-1
Evaluate c
97. n
EP3
98. y
27
42
y
15
99. x
81
14 x
95
101. z
39
72
z
33
102. a
43
61 a
18
103. Raquel is hiking a 9 mile trail in the Grand Canyon. She has already
hiked 4 miles. How much farther does she have to hike? 5 miles
104. Mikey scored 12 points for his basketball team. The entire team
scored 63 points. How many points did Mikey’s teammates score? 51 points
13
9
18.
4
( 8)
4
19. 2
5
7
20. 3
( 4) 7
24. a
9, b
b for each set of values.
5, b
8
22. a
12, b
6
6
23. a
7
6, b
13
25. The highest point in the United States is Mount McKinley at about
20,320 feet. Death Valley, California, is the lowest point at about
282 feet below sea level. What is the difference in elevation between
the highest and lowest points in the United States? 20,602 ft
LESSON
26
17
2-4
Find each product or quotient.
LESSON 1-11
Solve each equation. Check your answer.
3s
105. 20
s
m
108. }3}
6
12 m
60
106. 12y
84 y
7
107. 15
432
109. 144
3p p
48
110. 72j
111. Adam is saving to buy a computer that costs $400 before school
starts. If school starts in 8 weeks, how much will he need to save per
week in order to have enough money? $50
EP4
EP2ÐEP5
Extra Practice
n
}}
9
n
360 j
135
5
26.
9
30.
2 9
3
3
18
27. 8 ( 3)
31. 15
24
3
( 5)
28. 16
32. 6 7
4
4
29.
7 3
42
33.
72
21
( 12)
6
Evaluate xy for each set of values.
34. x
2, y
3 6
35. x
4, y
5
20 36. x
2, y
816 37. x
1, y
9 9
38. A submarine descends below the ocean’s surface at a rate of
75 feet per minute. How many feet below the ocean’s surface
will the submarine be in 12 minutes? 900 ft
Extra Practice
EP5
Extra Practice
3t
n)
Use a number line to order the integers from least to greatest.
y
5y , __, and y
2
Simplify. Justify your steps using the Commutative, Associative,
and Distributive Properties when necessary.
81. 5b
6(13
Extra Practice
Extra Practice
8
77. 6 times the sum of 13 and a number
Extra Practice
84. 3u
1 56
5 and f
75. the quotient of a number and 8 n
12
76. add 7 to 8 times a number 8n
36. New York City is about 1.0871 104 km from Tokyo, Japan. London, England,
is about 9.581 103 km from Tokyo. Which city is closer to Tokyo? London
9e
2 24
7 93
1-7
74. 12 less than a number n
105 miles.
35. The distance from the Earth to the moon is about 2.48
Write this distance in standard form. 248,000 miles
15
__
y
68. x
24. 20 105 2,000,000
27. 2,508 105 250,800,000
Write each number in scientific notation.
29. 387,000 3.87
z)
Associative Property
100
(121
y)
Use the Distributive Property to find each product.
3
20. 256, base 2 2
6
53. (25 8) 4
3
18. 216, base 6 6
8
4
7,776
15. 1003
Write each number using an exponent and the given base.
Extra Practice
6
Simplify each expression. Justify each step.
8. 53 125
EP2
5)
1-5
44. 9 2
Figure 2
Find each value.
32. 1,560
(20
9 22
Tell which property is represented.
1-2
23. 24 103
38. 16
41. 5
Extra Practice
LESSON
7. Make a table that shows the number of dots in each
figure. Then tell how many dots are in the fifth figure
of the pattern. Use drawings to justify your answer. Figure 1
LESSON
3)2 0
(9
43. Charlotte bought 4 shirts and 3 pairs of pants. She got the pants at a
discount. Simplify the expression 4 32 3 25 (3 25) 5 to find out
how much she paid for the clothes. $188
6.
LESSON
6 5 33
3
40. (4 9)
,...
Identify a possible pattern. Use the pattern to draw the next three figures.
5.
Chapter 1
1-4
Extra Practice
LESSON
Extra Practice
Chapter 2
LESSON
2-5
Solve each equation. Check your answer.
39. n
n
25
7
2k
40. y
36
y
44. h
74
h
( 13)
61
( 7)
42
49
41. 21
Find a fraction equivalent to the given number. 90–93. Possible answers given.
s
}} s
4
84
z
}} z
9
45. 6
42. 15y
y
54
46. 68
2
90. _51_ __
10
45
3
pp
4
64
20
96. _87_ and __
no
24
12 yes
95. _64_ and __
18
no
5
15
97. __
and __
12
36 yes
Write each improper fraction as a mixed number. Write each mixed
number as an improper fraction.
19 _
4
98. __
5 3
2_7
23
99. __
8
5
2-6
19
__
5
100. 3 _45_
8
13
101. 2 __
15
43
__
15
Write the prime factorization of each number.
48. 78
2 3 13
4
49. 144 2
32
5
50. 96 2
52. 176
24 11
2
53. 156 2
3 13
4
54. 336 2
56. 888
23 3 37
57. 2,800
LESSON
3
51. 95
3 7
LESSON 2-10
5 19
55. 675
24 52 7 58. 780 22 3 5 13 59. 682
33 52
2 11 31
Write each fraction as a decimal. Round to the nearest hundredth,
if necessary.
103. _86_ 0.75
102. _54_ 0.8
57
104. __
15 3.8
2-7
60. 6, 15 3
17
106. 0.85 __
107.
20
9
61. 18, 27
62. 26, 65 13
64. 84, 48 12
65. 90, 34 2
66. 49, 56 7
67. 36, 120 12
69. 32, 68
4
70. 81, 75 3
71. 30, 70, 65, 100 5
72. 21, 77 7
73. 64, 84, 120 4
74. 20, 40, 80, 140 20 75. 49, 98 49
76. José is making identical gift bags to sell at his concert. He has 51 CDs
and 34 T-shirts. What is the greatest number of gift bags José can make
17 gift bags
using all of the CDs and all of the T-shirts?
111. Jacob used 44 of the 60 pages in his journal. What portion of the
pages did he use? Write your answer as a decimal rounded to the
nearest hundredth. 0.73
Compare the fractions or decimals. Write
77. 12, 15
60
78. 30, 12
60
79. 16, 32
32
80. 25, 40
81. 30, 75
150
82. 12, 64
192
83. 15, 50
150
84. 15, 30, 50, 100 300
200
85. 21, 28
84
86. 15, 22, 30
87. 20, 40, 80, 120 240 88. 42, 90
LESSON
_8_
9
11
__
12
115.
118.
7 , 2.59, 2.7
2__
6
__
, 0.5, 0.58
13
LESSON
0.61,
12
2. 26.23
201.86
3. 438.57
42
6. 54.51
135.47
7.
228
190
310
129.39
4. 55.72
7.48
32.62
8. 63.38
4.77
87.23
120
13
8
28.14
( 62.57)
11.
15.
7.85
( 34.7)
12. 43.67
8.26
7.4
16.
26.85
0.86
28.86
8.75
14.18
14.81
13.
18
5.43
17.
35.4
18. Zoe gets to work in 25.5 minutes and gets home from work in
37.5 minutes. How much time does she spend commuting
each day? 1 h 3 min
LESSON
( 7.32)
25.32
11.32
12.04
20.
3.38 0.8
21.
2.704
24. 5.66 ( 16.34)
92.4844
25.
8 ( 0.07)
22. 7.59 ( 36)
43.9 ( 4.7)
26. 73.3 6.85
0.56
206.33
8.5
4.24
2.4 6.25
36. 15
17
1.7 10
29. 74.25
11.25
33. 34.672
7.88
6.6
30.
4.8
( 4.4)
34.
128.685
40
3.45
37. 70
3.5
20
38.
66
273.24
41.
5.8
15
42.
99
87
31.
37.3 35.
22
48.
1.07
8.5
52.
20.65
x
4.8
0.8
6.2y
6x
49. 9.6
r
21.08 53. __
13
v

8
v
76.8
3.25
3-6
_5_
6
1_1
58. _87_
2
2 _81_
_1_
6
1
57–64. Possible answers given.
7
62. __
2 _43_
16
2
1_1
2
59. 5 _34_
9
63. 8 __
10
2 _38_
8_1
2
1_91_ 9
60. 6 _32_
2_16_
5
64. 3 _25_ 1_47_
7
LESSON 3-7
Add or subtract. Write each answer in simplest form.
0.63
0.9
( 0.7)
231.28
5.6
( 41.3)
5
39. 43
8.6
5
3.3 30
43. 22
2.5
8.8
44. Miley is training to run a 10K race. Miley ran 10 kilometers in
62 minutes. If she runs each kilometer at the same pace, how long
did it take Miley to run one kilometer? 6.2 min
45. The diameter of a northern red oak tree grows an average of 0.4 inches
per year. At this rate, how long will it take the tree’s diameter to grow to
24.8 inches? 62 years
Extra Practice
1.35
t
2
70. _73_
0.12
13.2
47. t
51. x
502.105
66. _41_
( 1.3)
13
5.9
65. A stock’s price in July was $1938 and its price in October rose to $2718.
Estimate the difference between the price in July and the price in
October. $7_1
Divide. Estimate to check whether each answer is reasonable.
36.04
9
n
56. The same cereal costs $3.99 per box at one store, $3.25 per box at
another store, and $3.59 per box at a third store. What is the average
price per box of the cereal? $3.61
57. _38_
3-4
28. 16.9
s
4.3
6.5
Estimate each sum, difference, product or quotient.
27. Griffin works after school and on weekends. He worked 18.5 hours last
week and gets paid $7.90 per hour. How much did he earn last week? $146.15
LESSON
s
LESSON
3-3
67.4 ( 8.7)
Chapter 3
3-5
1
61. 4 __
12
586.38
EP7
( 24.08)
Multiply. Estimate to check whether each answer is reasonable.
19. 4.3 2.8
9 15
__
, 0.55
15
Extra Practice
54.42
14. 34.43
9
__
0.55,
55. A single movie ticket costs $7.25. The Brown family consists of Mr. and
Mrs. Brown, Amy, and her two brothers. What does it cost the Brown
family to go to the movies together? $36.25
3-2
45.63
1.007
r 42.25
y 3.4
n 12.4
x
7.43
54. Billy worked 7.5 hours and earned $56.70. What is Billy’s hourly wage? $7.56 per hour
Add or subtract. Estimate to check whether each answer is reasonable.
10. 8.79
46. 4.7
50.
9. Caden has $48.50. He thinks he can buy three CDs for $16.99 each. Use
estimation to check whether his assumption is reasonable. no; 3 17 51
LESSON
0.61,
1.024
Solve. Justify your steps.
1,015
5.87 7.39
EP8
.
114.
Order the numbers from least to greatest.
7
6
117. 2.7, 2.59, 2 __
116. 0.5, 0.58, __
13
12
Extra Practice
Chapter 3
3-1
1. 145.2 6.7
40.
or
Extra Practice
Estimate by rounding to the nearest integer.
32.
0.88
Extra Practice
Extra Practice
23.
113. 0.82
119. Brian operates an ice cream stand in a large city. He spends 0.4 of
1 on advertising, and 0.08 on taxes and fees.
his budget on supplies, __
12
Does Brian spend more on advertising or more on taxes and fees? advertising
630
89. Kanisha shoots a basket every 7 seconds. Thomas shoots a basket
every 12 seconds. They begin at the same time. How many seconds will
have passed when they next shoot a basket at the same time? 84 seconds
5.
5
__
13
8
112. __
13
Find the least common multiple (LCM).
EP6
5
LESSON 2-11
2-8
330
5
8
110. Brianna brought 96 CDs to sell at her concert. At the concert, she sold
84 CDs. What portion of the CDs did she sell? Write your answer as a
decimal. 0.875
63. 60, 25 5
68. 30, 75 15
LESSON
7.5
13
109. 2.6 __
or 2_3
108. 0.875 _7
1
__
25
0.04
75
__
10
105.
Write each decimal as a fraction in simplest form.
Find the greatest common factor (GCF).
Extra Practice
100
50 ___
93. __
13 26
96
__
1
92. 96
Determine whether the fractions in each pair are equivalent.
94. _27_ and _34_
47. On Monday, Martin deposited $76 into his bank account. On Tuesday,
he withdrew $100. He then had $202 in his account. How much money
$226
did he start with on Monday?
LESSON
23
91. 7 _23_ __
3
Extra Practice
Extra Practice
k
}
43. }18
18
Chapter 2
2-9
_1_
3
_5_
9
7
__
12
62
__
63
3
67. __
11
71. _87_
3 __
3
__
22 22
5
_2_ __
3 24
68.
_3_
6
7
72. __
12
7
1
_2_ _
69. _14_ __
3 6
10
9
5 73. _4_ __
17
_5_ __
__
5
6 12 or 1 12
10
74. Jacob and Julius spent _14_ hour swimming, 110 hour eating a snack, and
17 hour
then 12 hour hiking. How long did these activities take Jacob and Julius? __
19
__
20
1
__
10
20
LESSON 3-8
Add or subtract. Write each answer in simplest form.
75. 9 _78_
79. 7 _14_
45
or 5_5
4 _14_ __
8
8
43
7
or 3__
3 _23_ __
12
12
76. 3_21_
80. 4_32_
25
or 6_1 77. 9_5_
2_34_ __
4
4
6
205
13
___
__
3_87_ 24 or 8 24 81. 8_52_
1
7
_
_
6_13_ 2 or 3 2
197
5
___
or 8__
24
24
7
78. 5 __
12
9
9 _
or 4_1 82. 3 _7_
3__
2
10 2
8
2 _85_
339
19
or 8__
4 _53_ ___
40
40
83. The average male giraffe is about 1712 feet tall. One of the giraffes at the
zoo is 1818 feet tall. How much taller is the giraffe at the zoo than the
5
average male giraffe? _ ft
8
Extra Practice
EP9
EP6ÐEP9
Extra Practice
3-9
LESSON
Extra Practice
Chapter 3
102
92. ___
or 20_2
5
5
LESSON
One day, a veterinarian saw 20 cats and 30 dogs. Write each ratio in all
three forms. Make sure each ratio is in simplest form.
Multiply. Write each answer in simplest form.
25
7 ___
119
11
29
11 86. _5_ 4 _3_ __
__
or 3_1 87. 5 _23_ __
85. 3 _29_ _12_ __
or 1__
7
8 8
12 36 or 3 36
8
18
18
2
2
135
7 91. 4 _1_ 5 __
1 ___
253
13 89. 3_1_ 2 _5_ __
85
427 or
88. 4 _35_ 3 _23_ ___
or 8__
or 16__
or 9_4 90. 2 _14_ 3 _34_ ___
7
5
3
6
12
16
16
15
15
9
9
20 21__
1
20
9
92. 3_15_ 6_38_
93. 5 _13_ _5
94. _37_ 1_12_ __
95. 2 3__
10
or 1_2
31
__
14
3
3
or 6_1
1
1
5
5
96. Mary is 2]2] times as old as Victor. If Victor is 7]2] years old, how old
is Mary? 18_3 years old
4
1
17 or 8_
84. _23_ 12 _34_ __
1. cats to dogs _2 , 2 to 3, 2:3 2. dogs to cats _3 , 3 to 2, 3:2
3
2 , 2 to 5, 2:5
_
5
3. cats to animals
2
4. A compact car can travel 135 miles per 5 gallons of gas. A midsize car
can travel 210 miles per 10 gallons of gas. Which car gets more miles
per gallon? the compact car
97. Admission to a museum in 2008 was $22.50. In 1998, the admission
price was _35_ of the admission price in 2008. What was the admission
price in 1998? $13.50
Extra Practice
Extra Practice
Chapter 4
4-1
LESSON 4-2
5. Danielle skipped a rope 248 times in 4 minutes. On average, how many
times did Danielle skip rope per minute? 62 times per minute
6. A serving of 8 crackers contains 128 calories. What is the number of
calories per cracker? 16 calories per cracker
LESSON 3-10
Divide. Write each answer in simplest form.
5
2
7
99. __
_78_ _
100. _23_ _25_ _
12
20
20
3
3
141 or 7__
1
_3_ 1_1_ 3
_5_ 4 _1_
102. 5_78_ _56_ ___
103.
3
104.
2
4
4
6
3
20
20
81
1
4
__
__
106. _45_ 3 __
107. 1_18_ _29_ 16 or 5 16 108. 2_14_ 3_12_
15
21
1
98. _78_ _56_ __ or 1__
7. Jamie’s family drives 350 miles to her grandparents’ house in 7 hours.
What is their average speed in miles per hour? 50 mi per h
9
1
101. 2 _14_ _12_ _ or 4_
or 1_2
3
2
2
34
4
or 2__
105. 5 _23_ 2 _12_ __
15
15
17
__
26
9
__
14
109. 5 _15_
8. A store sells milk in three different sizes. The 128 fl oz container costs
$4.59, the 64 fl oz container costs $3.29, and the 32 fl oz container costs
$1.99. Which size has the lowest price per fluid ounce? the 128 fl oz container
25
110. Each serving of chicken weighs ]13] pound. Melanie bought 12 pounds
of chicken for a party. How many servings does she have? 36 servings
LESSON 4-3
Determine whether the ratios are proportional.
111. Jessika, Alfred, and Judith are driving round-trip to a football game
that is 190 miles from their town. If each of them drives the same
2
distance, how far will each person drive? 126 _3
25 __
9. __
, 30 yes
40 48
32 __
10. __
, 24 no
36 28
15 yes
11. _56_, __
18
18 yes
21 , __
12. __
49 42
Possible
Find a ratio equivalent to each ratio. Then use the ratios to write a proportion. answers:
LESSON 3-11
x _5 or 2_1
2
2
11
t ____
1
__
24114. _5_ _1_x
115. _23_w 240w 360
112. _13_ s _25_ s 15 113. t _38_ _56_
6
3
3
_
5_
5_
5_
5_
3_
2
_
_
_
_
_
_
_
117. x 8 8 x 0 118. 3y 4
119. _6r_ _18_ r 4
116. 8 n 6
35
11
n __
or 1__
y _9 or 1_1
24 1
24
8
i
11
1_ s _5_ 8
2_
1
_3_ e __
_
__
_
14
2
_
__
_
120. j _45_ __
121.
122.
123.
4
7
12 e 6
2
8
3 i 3 or 4 3
9 10
j __
s _5 or 1_1
10
4
3
2 4
3
24
_
24 __
15. ]32] 32 4
15
15 __
_3
14. ]4]
8
0 40
8
72 _
72 __
13. ]8]
9
1 81
5 __
5
10
16. __
__
13
13
26
Solve. Write each answer in simplest form.
LESSON 4-4
Use cross products to solve each proportion.
y
63
21. __
__
45
35
124. Jorge owns 1]4] acres of land. Juanita, his neighbor, owns 2]3] acres.
5
How many acres do they own in all? 4__
acres
12
y 49
Extra Practice
Extra Practice
Extra Practice
Chapter 4
27. the weight of 6 crackers oz
28. the capacity of a pond gal
29. the capacity of a baby’s bottle cups
30. the length of a marathon mi
EP11
Chapter 4
Tell whether the figures are similar.
50.
130o
6 in.
6 in.
50o
10 in.
32. 5 ft to inches
60 in.
51.
B
50o
D
33. 6.5 lb to ounces
34. The directions on Brant’s protein powder say to mix four scoops with
16 ounces of milk to make a protein drink. If Brant has a quart of milk,
how many protein drinks can he make? 2 drinks
similar
F
5 cm
A 8 cm C
27 cm
4 in.
15 cm
24 cm
E
Extra Practice
16 c
not similar
9 cm
130o
Convert each measure.
104 oz
LESSON
4-9
Find the unknown measures.
52. OXYZ ORQS
4-6
150
LESSON 4-8
Choose the most appropriate customary unit for each measurement.
Justify your answer. 27–30. For complete answers, see p. A14.
LESSON
56
105 m
__
___
m
80
Extra Practice
LESSON 4-5
31. 8 pt to cups
3
t t7
20. __
__
21
49
72 24.
26. In 2 weeks, a taxi traveled 2,460 miles. At this rate, how many miles will
the taxi travel in one year (52 weeks)? 63,960 mi
126. Matilda uses 1_23_ cup milk for a muffin recipe. If she wants to make 3
times the amount of muffins, how much milk will she use? 5 cups
Extra Practice
u
21
19. __
__
14
28
48 n 1.5
32
52 x
___
22. _n6_ __
23. __
x 117
12
25. The ratio of a person’s weight on Earth to his weight on the Moon is
6 to 1. Rafael weighs 90 pounds on Earth. How much would he weigh on
the Moon? 15 lb
125. Kyra uses 2]14] feet of ribbon to wrap each of the identical fruit baskets that
she sells. How many baskets can she wrap with a 144-foot roll of ribbon? 64 baskets
EP10
u 10.5
p
p 16
18. _47_ __
28
12 n 12
17. _n8_ __
18
x 18 ft; y 34°
Q
35–38. For complete answers, see p. A14.
56°
Y 56°
34°
6 ft
X 9 ft Z
Choose the most appropriate metric unit for each measurement.
Justify your answer.
35. The distance from home plate to
first base meters
36. The height of a telephone pole meters
37. The mass of a marble grams
38. The capacity of a baby bottle mL
x
y
R
27 ft
S
53. A 5-foot-tall girl casts a 7-foot-long shadow. At the same time, a nearby
telephone pole casts a 35-foot-long shadow. What is the height of the
telephone pole?
25 ft
Convert each measure.
39. 8.9 m to millimeters 8,900 mm40. 56 mg to grams 0.056 g
41. 900 mL to liters
42. 2 L to milliliters 2,000 mL
44. 0.002 kg to milligrams
43. 150 m to kilometers
0.150 km
54. A 24-foot-tall tree casts a 30-foot-long shadow. A 4-foot-tall child is
standing nearby. How long is the child’s shadow? 5 ft
0.9 L
55. A flagpole casts a shadow that is 26 ft long. At the same time, a
yardstick casts a shadow that is 4 ft long. How tall is the flagpole? 19.5 ft
2,000 mg
45. Anthony and Melinda are drinking apple juice. Anthony has 300 mL of juice
left and Melinda has 0.09 L. Who has the greater amount of juice?
Explain why your answer makes sense. Anthony; 300 mL ⴝ 0.3 L, so Anthony has more.
56. An amoeba is 0.8 millimeter in length. At the science museum, there is
a scale model of the amoeba that is 160 millimeters in length. What is
200
the scale factor? ___
1
LESSON
4-7
46. A water fountain dispenses 8 cups of water per minute. Find this rate in
pints per minute. 4 pints per minute
LESSON 4-10
57. A scale model of the Empire State Building is 3.125 feet tall with a scale
1 . Find the actual height of the Empire State Building.
factor of ___
1,250 ft
400
47. Jo’s car uses 1,664 quarts of gas per year. Find this rate in gallons per week.
8 gallons per week
48. Toby walked 352 feet in one minute. What is his rate in miles per hour?
58. Kira is drawing a map of her state with a scale of 1 inch:30 miles. The
actual distance between Park City and Gatesville is 80 miles. How far
from Gatesville should Kira place Park City on her map? 2]2] in
3
59. On a map, the distance between the cities of Brachburg and
Trunktown is 4.3 cm. The map scale is 1 cm:25 km. What is the actual
distance between the cities? 107.5 km
4 miles per hour
49. A giant tortoise has a top speed of 2.992 inches per second. What is a
giant tortoise’s top speed in meters per second? Round your answer to
the nearest thousandth. (Hint: 1 in. ⴝ 0.0254 m) 0.076 m/sec
EP12
Extra Practice
Extra Practice
MSM710SE_BM_EP11_EP13.indd EP12
EP10–EP13
4/19/10 7:59:18 AM
EP13
Extra Practice
LESSON
Extra Practice
Chapter 5
5-1
LESSON
Plot each point on a coordinate plane. Identify the quadrant
that contains each point. 1–3. See p. A14.
II
1. M( 1, 1)
2. N(4, 4) I
4
Give the coordinates of each point.
5. B (4, 1)
LESSON
6. C (3,
2
2
2)
C
18. y
x
4
5-2
Distance
from home
Distance
from home
Distance
from home
Rule
x
3x
3( 2) 1
3(0) 1
3(2) 1
2
0
2
( 2,
Time
2x
LESSON
5
n
y
10.
Input
Rule
4
x
4x2
y
7
1
5
1
4(1)2
4(3)2
4(5)2
4
36
100
3
5
12. y
5x
2
3
4
0
4
8
2
13. y
16.
5
12
x
2
1
14. y
26.
_4_; ( 2,
5
3)
27. 3; (1,
2
x
_2_ x
3
28. y
5
29. y
6x
4
30. 3x
2
31.
y
y
32.
33.
2
6
4
O
2
2
4
x
y
5
x
2
6
10
O
2
2
2
1
2
3
4
y
2
4
8
16
y
2x
_
5
1
y
4
2x
1
Tell whether each equation represents a direct variation. If so, identify the
constant of variation.
5
34. 3x
32
5y yes; k
3 35. y
_
5
x 2 no
36. y
0.9x
yes; k
37. y
12 no
2x
0.9
38. Peter has decided to save $30 each week to buy a new stereo system.
a. Write a direct variation equation for the amount of money d that Peter
30w
has saved in w weeks. d
b. Graph the data. See p. A15.
c. How many weeks will it take Peter to save $270? 9
EP15
Extra Practice
Extra Practice
Chapter 6
Chapter 6
LESSON 6-4
6-1
1.
Find the percent of each number. Check whether your answer is reasonable.
2.
3.
76%
1
11 or 1__
5. 110% __
10
50
10
9. 7% 0.07
5
Solve.
100
10. 125% 1.25
11. 0.53% 0.0053
LESSON 6-2
Write each decimal as a percent.
13. 0.54 54%
14. 1.69 169%
15. 42.0 4,200% 16. 0.898 89.8%
33 75%
19. __
44
61 67.0%
20. __
91
Write each fraction as a percent.
29 33.7%
18. __
86
21. 1_25_
140%
Decide whether using pencil and paper, mental math, or a calculator is
most useful when solving the following problem. Then solve.
30% of $30
3 $3
$9. $30
$9
26. 15% of 15 3
$21, so she has enough money.
29. 19% of 109 22
30. 2% of 56 1
$3.
31. 48% of 200 100
32. Last year, Maria’s retirement fund lost 19%. If the fund was worth
$18,000 at the beginning of the year, how much money did she lose? $3,420
33. Every year, about 300 movies are made. Only 13% are considered to be
hits. About how many movies are considered hits in a year? about 39 movies
Extra Practice
50. The sales tax on a $68 hotel room is $7.48. What is the sales tax rate? 11%
LESSON 6-6
Find each percent of change. Round answers to the nearest tenth of a
percent, if necessary.
51. 54 is increased to 68.
52. 90 is decreased to 82.
53. 60 is increased to 80.
54. 76 is decreased to 55.
55. 75 is increased to 120.
56. 50 is decreased to 33.
8.9%
33.3%
60%
34%
59. A regular bag of potato chips contains 12 ounces. A jumbo bag of chips
contains 166}23}% more chips. How many ounces does the jumbo bag contain? 32 oz
Use 1% or 10% to estimate the percent of each number. Possible answers:
28. 21% of 88 18
48. 9 is 15% of what number? 60
49. Thomas bought a desk with a retail sales price of $129 and paid $10.32
sales tax. What is the sales tax rate where Thomas bought the desk? 8%
58. A market’s old parking lot held 48 cars. The new lot holds 37.5%
more cars. How many parking spaces are on the new lot? 66 parking spaces
Use a fraction to estimate the percent of each number. Possible answers:
27. Kel has $25 to spend on a pair of jeans. One pair is on sale for 30% off the
regular price of $29.99. Does she have enough money to buy the jeans?
Explain. Possible answer: yes, $29.99 is about $30, so find 30% of $30. 10% of $30
46. What percent of 88 is 102? about 115.9%
47. 24 is 60% of what number? 40
27.6%
LESSON 6-3
25. 65% of 300 200
44. What percent of 140 is 28? 20%
45. What percent of 120 is 24? 20%
57. Abby’s Appliances sells DVD players at 7% above the wholesale cost
of $89. How much does the store charge for a DVD player? $95.23
stuffed animals
24. 27% of 76 19
43. What percent of 150 is 60? 40%
25.9%
22. Tyler wants to donate 49% of his 50 stuffed animals to the children’s
hospital. About how many stuffed animals will he donate? mental math; about 25
23. 48% of 200 100
37. 2% of 68 1.36
40. 1% of 8.5 0.085 41. 1.25% of 48 0.6
LESSON 6-5
9
7. 9% ___
6. 20% _1
Write each percent as a decimal.
8. 27% 0.27
35. 55% of 256 140.8 36. 75% of 60 45
39. 0.5% of 80 0.4
42. Ryan bought a new CD holder for his car. He can fit only 60 of his
CDs in the holder. This represents 60% of his collection. How many
CDs does Ryan have? 100 CDs
60%
Write each percent as a fraction in simplest form.
7
4. 14% __
34. 35% of 80 28
38. 17% of 51 8.67
Extra Practice
40%
15 44.1%
17. __
34
3)
y
2
x
Extra Practice
12. 0.06 6%
x
Write the equation of each line in slope-intercept form.
Write the percent modeled by each grid.
Extra Practice
(1, 0)
O
LESSON 5-8
n
geometric, y
Extra Practice
EP16
_2_; (4, 1)
3
4
arithmetic, y
LESSON
positive, 1
1

4
Graph each equation. 28–31. See p. A15.
Output
y
17. Tim wants to increase the number of miles he runs each week. His
plan is to run 10 miles the first week, 12 miles the second week, 14
miles the third week, and 16 miles the fourth week. Write a function
that describes the sequence, and then use the function to predict how
many miles Tim will run during the eighth week. y
2n 8; 24 mi
EP14
25.
5-4
1
x
negative,
y
2)
24. _21_; (2, 1)
Tell whether each sequence of y-values is arithmetic or geometric.
Then find y when n 5.
15.
2
Use the given slope and point to graph each line. 24–27. See p. A15.
Make a function table, and graph the resulting ordered pairs. 11–14. See p. A14.
11. y
x
LESSON 5-7
Output
1
20. y
( 3, 1)
O
Time
5-3
Input
3
23.
(1, 1)
Find the output for each input.
9.
x
y
22.
Graph C
8. Jose is selling tins of popcorn for a school fund-raiser. Each tin of popcorn
sells for $12. Draw a graph to show his possible income from sales. See p. A14.
LESSON
19. y
Tell whether the slope is positive or negative. Then find the slope.
Graph B
Time
2
LESSON 5-6
7. Abby rode her bike to the park. She had a picnic there with friends
before biking home. Which graph best shows the situation? C
Graph A
2x
21. The outside temperature is increasing at the rate of 6 °F per hour.
When Reid begins measuring the temperature, it is 52 °F. Write a linear
function that describes the outside temperature over time. Then make a
6n 52
graph to show the temperature over the first 3 hours. y
Extra Practice
Extra Practice
4. A ( 1, 3)
B
O
2
5-5
Graph each linear function. 18–21. See pp. A14–A15.
2
1) IV
3. Q(3,
y
A
Chapter 5
LESSON 6-7
Find each missing value.
60. I
,P
62. I
$168, P
$500, r
$800, r
5%, t
,t
1 year $25
3 years 7%
61. I
$30, P
,r
63. I
$48, P
$300, r
$250
6%, t
2 years
8%, t
64. Shane deposits $600 in an account that earns 5.5% annual simple
interest. How long will it be before the total amount is $699? 3 years
Extra Practice
2 years
EP17
EP14ÐEP17
LESSON 7-1
1–3. See p. A15.
Game
Date
The table shows the number of points a player
scored during the last ten games of the season.
1. Make a cumulative frequency table of
the data.
2. Make a stem-and-leaf plot of the data.
3. Make a line plot of the data.
Points
Game
Date
Points
Feb 7
36
Feb 25
18
Feb 14
34
Feb 27
31
Feb 18
27
Mar 1
43
Feb 20
46
Mar 3
42
Feb 23
32
Mar 4
28
LESSON 7-2
Find the mean, median, mode, and range of each data set.
4. 13, 8, 40, 19, 5, 8 15.5; 10.5; 8; 35
5. 21, 19, 23, 26, 15, 25, 25 22; 23; 25; 11
Identify the outlier in each data set. Then determine how the outlier
affects the mean, median, and mode of the data. Then tell which measure
of central tendency best describes the data with and without the outlier. 6 and 7. See p. A15.
6. 23, 27, 31, 19, 56, 22, 25, 21
LESSON 7-3
7. 66, 78, 57, 87, 66, 59, 239, 84
8 and 9. See p. A15.
8. The table shows the populations of four
countries. Make a double-bar graph of
the data.
1998
Population
(millions)
Country
9. The list below shows the scores on a
history quiz. Make a histogram of the data.
87, 92, 75, 79, 64, 88, 96, 99, 69, 77, 78, 78,
88, 83, 93, 76
9.3
9.7
Syria
15.3
16.7
Turkey
64.5
66.5
Algeria
30.1
31.7
Ethnic Groups
of Iran
The circle graph shows the results of a survey of 100 people
from Iran who were asked about their ethnic backgrounds.
Use the graph for Exercises 10–12.
Other
Persian
10. Which ethnic group is the second largest? Azeri
Azeri
Determine whether each sample may be biased. Explain.
20. A bank asks the first 10 customers that enter in the morning if they are Possible answer:
The sample is biased. Morning
satisfied with the bank’s late afternoon lobby hours.
customers may not be as concerned about afternoon lobby hours as all customers.
21. Members of a polling organization survey 1,000 residents by randomly
choosing names from a list of all residents. Possible answer: The sample is not biased.
It is a random sample.
LESSON 7-9
22. The table shows the average number of points
per game that Michael Jordan scored during
each season with the Chicago Bulls. Use the
data to make a scatter plot. Describe the
relationship between the data sets. See p. A15.
Points
Year
Points
33.6
1994
26.9
1991
31.5
1995
30.4
1992
30.1
1996
29.6
1993
32.6
1997
28.7
Explain why each graph could be misleading.
23.
24.
Australia and Iran
Hungary and Ireland
140
100
60
20
lia
stra
Au
12
9
3
0
n
Ira
ng
Hu
ar y
Irela
N
O
L
24. __
radii
A
___
AB and CD; AC and BD
B
9.
30.
HMJ neither
12.
HMJ and
JMK
13.
LMK and
GMK supplementary
14.
JMK and
KML
hexagon
31.
32.
pentagon
J
LESSON
K
H
no;
no line segments
for sides
33.
34.
scalene obtuse
M
G
heptagon
8-6
Classify each triangle according to its sides and angles.
complementary
neither
29.
no;
not a closed figure
acute
Use the diagram to tell whether the angles are complementary,
supplementary, or neither.
GMH and
35.
36.
isosceles
acute
scalene right
L
equilateral acute
15. Angles Q and S are complementary. If m Q is 77°, what is m S? 13°
LESSON
16. Angles M and N are supplementary. If m M is 17°, what is m N? 163°
Give all of the names that apply to each quadrilateral. Then give the
name that best describes it.
8-7
37.
LESSON 8-3
Tell whether the lines in the figure appear
parallel, perpendicular, or skew.
‹___›
skew
___
‹
‹___›
›
19. OP and QR
parallel
‹___›
N
‹___›
O
18. OQ and QR
perpendicular
___
___
‹
›
‹
P
Q
›
20. PN and OQ
R
1 116°
22.
3 64°
23.
8 116°
EP20
Extra Practice
EP18ÐEP21
38.
56°
64°
60°
4
64°
6
3
1
j
40.
parallelogram,
rectangle, rhombus,
square; square
trapezoid
Find the unknown angle measure in each triangle.
41.
skew
39.
parallelogram,
rhombus; rhombus
parallelogram,
rectangle; rectangle
LESSON 8-8
Line j || line k. Find the measure of each angle.
21.
K
I
Name each polygon.
10.
right
28.
yes
Tell whether each angle is acute, right, obtuse, or straight.
11.
JKw, w
HM
w
LwM
w, w
Determine whether each figure is a polygon. If it is not, explain why not.
D
C
obtuse
J
LESSON 8-5
27.
LESSON 8-2
8.
JK, HM
M
L
26. chords
H
JL, JK, KL
w
___ ___
25. __
diameters
___
M
5. three
__ __line __segments
___
EP19
Chapter 8
Name the parts of circle I.
K
J
6. Identify the line segments that are congruent in the figure.
‹___›
nd
42. 33°
x
x
43. 98°
57°
44.
49°
33°
104°
38°
x
38°
x
8
7
5
k
Divide each polygon into triangles to find the sum of its angle measures.
45.
900°
46.
720°
47.
360°
48.
540°
Extra Practice
EP21
Extra Practice
Extra Practice
Year
1990
23 and 24. See p. A15.
IH, IwJw, wIKw, wIM
w
17. PN and QR
18
LESSON 8-4
1–5. Possible
answers given.
›
2. a line MN
3. a plane JKN
‹
straight
14
Nov
LESSON 7-8
Extra Practice
Chapter 8
Identify the figures in the diagram.
___
7.
Sep
Extra Practice
Extra Practice
KO, KN, MN
12
18. the number of participants in a hole-in-one contest for the last 10 years line graph
Extra Practice
4. three
rays___
___› ___
›
›
9
Jul
Choose the type of graph that would best represent each type of data.
Bar graph. You can see how easily the numbers relate with the
heights of the bars on a bar graph.
14. the average temperature for each day of one week
J, K, L
8
May
LESSON 7-7
two pieces of data on a bar graph.
1. three points
5
Mar
17. Use the graph to estimate the number of students
Karen tutored during the month of October. about 16 students
13. the number of guitars sold compared with the number of drum sets
sold for the year 2002
LESSON 8-1
Students
Jan
16. Make a line graph of the data. Use the graph to determine
during which months the number of students increased
the most. See p. A15.
Decide whether a bar graph or a circle graph would best display the
information. Explain your answer. Bar graph. You can easily compare the
EP18
Month
The table shows the number of students Karen tutored during
certain months. Use the table for Exercises 16 and 17.
Population
(millions)
Kurdish
12. According to the survey, 3% of the people are Arab. How
many of the people surveyed are Arab? 3 people
LESSON 7-6
LESSON 7-10
Arab
11. Approximately what percent of the people are Persian? 50%
15. Use the data to make a box-and-whisker plot. 22, 41, 39, 27, 29, 30, 40,
61, 25, 28, 32 See p. A15.
19. the prices of the five top-selling MP3 players bar graph
2001
Population
(millions)
Tunisia
LESSON 7-4
Chapter 7
LESSON 7-5
Extra Practice
Extra Practice
Extra Practice
Chapter 7
Population
(millions)
Extra Practice
Extra Practice
Extra Practice
Chapter 8
Choose the more precise measurement in each pair.
Determine whether the triangles are congruent.
49.
50.
ÓäÊvÌ
12 in.
P
ÓxÊvÌ
8 in.
8 in.
ÓäÊvÌ
T
8 in.
8 cm
6 cm
N
O
5 cm
no
7 in.
S
53.
115°
x
3.2 cm
115° 65°
2.2 cm
65° 115°
a
2.8 cm
45 mm
109° 26 mm
20 mm 95°
66°
a
2.8 cm
2.9 cm
115°
45 mm
109° 26 mm
x
55 mm
20 mm 95°
2.9 cm
65°
x
54.
2.2 cm
a
2.8 cm
2.8 cm
3.2 cm
x
66°; a
LESSON 8-10
4. 18.5 cm
4.5 cm
4 cm
55 mm
55–57. See p. A15.
Þ
4
+
Ó
*
E
" ,
Ó
D
R
4
y
S
2
Ý
{
57. Translate RST 3 units
right and 3 units down.
y
Ó
G x
F
O
2
2
x
4
2
O
T2
4
Decide whether each figure has line symmetry. If it does, draw all the
lines of symmetry.
59.
7.
8.
7 yd
no lines of
symmetry
23.7 mm
51.8 in.
74.4 mm
Find the area of each rectangle or parallelogram.
10.
11.
11 cm
12.
34 m
3.3 cm
5.4 in.
15 m
36.3 cm2
510 m2
13. Harry is using 16 Japanese tatami mats to cover a floor. Each mat measures
3 feet by 2 feet. What is the total area that will be covered by the mats? 96 ft2
LESSON 9-4
Find the area of each triangle or trapezoid.
65 in2
14.
15.
16.
21 mm
15.6 cm
4.4 cm
11.3 mm
214.7 mm2
10.4 cm
17 mm
17. 17 in.
18.
19.
907.5 in2
5 times
3 times
104 mm
697.1 m2
33,962.2 mm2
20. A circular fountain has a diameter of 42 ft. What is the area of
22 for À.
the wading pool? Use __
1,386 ft2
7
Extra Practice
Extra Practice
Chapter 9
LESSON 9-6
21.
Chapter 10
Identify the bases and faces of each figure. Then name the figure.
22.
Èʓ
24.
LESSON 10-2
4. The back of a moving van is shaped like a rectangular
prism. It is 24 ft long, 7 ft wide, and 8 ft high. Find
the volume of the moving van. 1,344 ft3
25.
{ʓ
Èʓ
36 m2
981.25 in3
69.81 ft2
288 cm
8 in.
Find the volume of the composite figure to the
nearest tenth. Use 3.14 for π.
LESSON 9-7
____
26. 132 169
6.
____
27. 196 14
29. 602 3,600
28.  625 25
Estimate each square root to the nearest whole number. Use a calculator
to check your answer.
___
___
___
___
31. 18 4
32.  53 7
33.  95 10
35. 221 15
36.  109 10
37.  175 13
____
10 m
1.5 yd
2 yd
14 m
34. 152 12
____
7.
6m
12 m
12.5 in.
4m
30.  10 3
____
8 ft
38. A square painting has an area of 2,728 square centimeters. About
how long is each side of the painting? Round your answer to the
52 cm
nearest centimeter.
2.5 yd
4 yd
1510.4 m3
____
27.5 yd3
LESSON 10-3
Find the volume of each pyramid to the nearest tenth. Estimate to
check whether the answer is reasonable.
LESSON 9-8
8.
14 cm
9.
10 ft
213.3 ft3
10.
8 in.
Use the Pythagorean Theorem to find each missing measure.
39.
40.
17 cm
15 in.
x
41.
14 cm
8 cm
48 mm
x
15 cm
12 in.
42. Ricky rides his bike 25 miles south and then turns east and rides
another 25 miles before he stops to rest. How far is Ricky from his
starting point? Round your answer to the nearest tenth. 35.4 mi
36 mm
60 mm
14 cm
Extra Practice
6 in.
16 ft
914.7 cm3
32.0 in3
4 in.
4 ft
Find the volume of each cone to the nearest tenth. Use 3.14 for π.
Estimate to check whether the answer is reasonable.
11.
15 in.
1,004.8 in3
8 in.
EP24
7 ft
24 ft
5. A drum is shaped like a cylinder. It is 12.5 in. wide
and 8 in. tall. Find its volume. Use 3.14 for π.
Èʓ
2
Find each square or square root.
hexagon;
triangles;
hexagonal
pyramid
3.
octagon;
rectangles;
octagonal
prism
2.
Extra Practice
about 22
square feet
Find the area of each figure. Use 3.14 for π.
23.
rectangle;
triangles;
rectangular
pyramid
1.
about 36
square feet
x
EP23
LESSON 10-1
Estimate the area of each figure. Each square represents 1 ft2.
9 in.
57.2 cm2
Find the area of each circle to the nearest tenth. Use 3.14 for À.
Extra Practice
Extra Practice
56.7 in2
10.5 in.
29.8 m
63.
4 times
9.
16.5 in.
LESSON 9-5
60.
62.
5 12 m
LESSON 9-3
Tell how many times each figure will show rotational symmetry within
one full rotation.
61.
1
18 2 m
11.2 km
44.0 yd
10 in.
yes
yes
Extra Practice
11.2 km
13 in.
58.
16
22
for À.
Find the circumference of each circle to the nearest tenth. Use 3.14 or __
7
LESSON 8-11
EP22
6. 48 m
5
6__
m
11.2 km
Graph each transformation. Write the coordinates of the vertices of each image.
55. Rotate PQR 90° counter- 56. Reflect the figure
clockwise about vertex R.
across the y-axis.
5. 33.6 km
3 cm
7 cm
Determine the unknown measure(s) in each set of congruent polygons.
52. 65°
5
m, 6_83_ m
3. 6__
16
Find each perimeter.
M
K 10 cm L
U
no
12 cm
Q
2. 8.1 m, 811 cm 811 cm
LESSON 9-2
Extra Practice
£äÊvÌ
1. 2 ft, 23 in. 23 in.
J
16 cm
7 in.
ÓxÊvÌ
Extra Practice
51.
R
£äÊvÌ
yes
Chapter 9
LESSON 9-1
LESSON 8-9
12.
932.6 cm3
18 cm
11 cm
13.
30 yd
12,560.0 yd
3
20 yd
Extra Practice
EP25
EP22ÐEP25
Extra Practice
Extra Practice
Chapter 10
LESSON 10-4
LESSON 11-1
Find the surface area of each prism.
14.
15.
5 in.
11 in.
3 cm
Determine whether each event is impossible, unlikely, as likely as not,
likely, or certain.
16.
1. flipping a coin and getting heads twelve times in a row unlikely
8 cm
10 cm
4 cm
6 cm
132 cm2
4 cm
208 cm
10 m
18.
LESSON 11-2
19.
9m
4.5 yd
81.6 yd2
1
6
Find the surface area of each cylinder to the nearest tenth.
Use 3.14 for π.
2 yd
2. drawing a green bead from a bag of white and red beads impossible
3. The probability of rolling a 2 on a number cube is 6. What is the
probability of not rolling a 2? _5
2
20 in.
5 in.
1,193.2 m2
785.0 in2
LESSON 10-5
4. Bess bowls a strike on 6 out of 15 tries. What is the experimental
probability that she will bowl a strike on her next try? Write your __
6
, 0.4, 40%
answer as a fraction, as a decimal, and as a percent.
15
5. For the past 10 days, a city planner has counted the number of
northbound cars that pass through a particular intersection. During
that time, 200 or more cars were counted 9 out of 10 days.
a. What is the experimental probability that there will be 200 or more
9
__
northbound cars passing through the intersection on the eleventh day? 10
Find the surface area of each pyramid or cone. Use 3.14 for π.
75.36 ft2
21.
20. 29 mm
22.
5 ft
30 mm
Extra Practice
Extra Practice
5 cm
21 in.
782 in2
17.
Chapter 11
133 m2
6m
30 mm
7m
7m
2,640 mm2
b. What is the experimental probability that there will not be 200 or
more northbound cars passing through the intersection on the
1
eleventh day? __
10
6–7. See p. A16.
LESSON 11-3
3 ft
6. Ronald flips a coin and rolls a number cube at the same time. What are
all the possible outcomes? How many outcomes are in the sample space?
LESSON 10-6
23. The surface area of a cylinder is 49 m2. What is the surface area of a
similar cylinder that is larger by a scale factor of 6? 1,764 m2
7. For lunch, Amy can choose from a salad, a taco, a hamburger, or a fish
fillet. She can drink lemonade, milk, juice, or water. What are all the
possible outcomes? How many outcomes are in the sample space?
2
24. The surface area of a garden is 36 ft . What is the surface area of a
similar garden that is smaller by a scale factor of 14? 2.25 ft2
8. A café makes 23 flavors of ice cream. You can get each flavor in a waffle cone,
a sugar cone, a cake cone, or a cup. How many outcomes are possible? 92
2
25. The surface area of a hexagonal prism is 65 cm . What is the surface
area of a similar prism that is larger by a scale factor of 8? 4,160 cm2
LESSON 11-4
Find the probability of each event. Write your answer as a fraction, as
a decimal, and as a percent.
3
26. The volume of a cube is 50 cm . What is the volume of a similar cube
that is larger by a scale factor of 7? 17,150 cm3
9. rolling a number less than 5 on a fair number cube _4 or _2 ; 0.67; 66.7%
6
27. An oil drum has volume of 513 cm . What is the volume of a similar
oil drum that is smaller by a scale factor of _31_? 19 cm3
EP26
10
20
Extra Practice
Extra Practice
Extra Practice
Extra Practice
Chapter 11
LESSON 12-1
11. The experimental probability that it will rain on any given day in
Sacramento, California, is about 15%. Out of 365 days (a year), about
how many days can residents of Sacramento predict rain? 55 days
Solve. Check each answer.
1. 4c
3.
m
5. }6}
x
6. }3}
24
23 h
14
5 e
2
3
21
13 x
5
54
Extra Practice
Solve.
8. 2w
Decide whether each set of events is independent or dependent.
Explain your answer.
10.
14. Mr. Fernandez’s class contains 14 boys and 16 girls. Mr. Fernandez randomly
picks a boy and a girl to represent the class at the school spelling bee. Independent; the
sample space of boys is different from the sample space of girls.
15. There are 52 playing cards in a standard card deck. Alex draws a card
and holds onto it while Suzi draws a card. Dependent; the outcome of the first
draw affects the outcome of the second draw.
Find the probability of each set of independent events.
1
16. flipping 2 coins at the same time and getting heads on both coins _, or 0.25, or 25%
4
17. drawing a 3 from 5 cards numbered 1 through 5 and rolling an even
1 , or 0.1, or 10%
number on a number cube __
11
7z
12. 2t
4
7
4w
7 w
3
z
12 z
2
9. 7v 5 v 11 v
1
7
_____
52
__
11. 5x
15 x
, or 10_2
3
5
5
1
_
13. 3(t 2) 1 8 t
5.1
________
15. 2.9h
2
5t
11 t
6
14. 12a
3
8a
1 a
1
}}
2
16. 4(8
s)
6
2 s
10
4t
______
17. 10
8
12
3
h
4.7
t
5
106
___
or 26_1
4
2
18. Erika has received scores of 82, 87, 93, 95, 88, and 90 on math quizzes.
What score must Erika get on her next quiz to have an average of 90? 95
LESSON 12-3
Group the terms with variables on one side of the equal sign, and simplify.
19. 6a
10
LESSON 11-7
21.
18. Venus has decided to have a 2-color paint job done on her car. There
are 6 paint colors from which to choose. How many combinations of
2 colors are possible? 15 combinations
4a
2j
6
8 a
j
4
3 j
3
20. 3d
5
7d
9 d
22. 7
5m
2
m m
24. 2c
13
26. 7d
4
1
5
_
6
Solve.
19. Philip has 5 different coins. How many combinations of 3 coins can
he make from the 5 coins? 10 combinations
23. 7y
9
2y y
2
25. }5}g
9
6
27.
20. A juice bar offers 8 different juices. You and a friend want to each try a
different blend. How many different combinations of 2 juices are possible?
22. Roseanne and Rita join Ralph, Randy, and Robert at the movie theater.
In how many different ways could they all stand in line? 120 ways
2. 3h
e
4. }7}
7
LESSON 12-2
LESSON 11-6
21. In how many different ways can Ralph, Randy, and Robert stand in
line at the movie theater? 6 ways
1 m
3
7
22 j
13
7. If you multiply the number of DVDs Sarah has by 6 and then add 5,
you get 41. How many DVDs does Sarah have? 6
13. A family is planning a 7-day vacation during July at a city where there
is a water park and an amusement park. The city experiences an
average of 8 rainy days in July. When it rains, both parks are closed.
If the family would like to spend at least 2 days at each park, should
they go? Yes; it is likely to rain only 2 days of their vacation.
LESSON 11-8
15 c
13
5j
EP27
Chapter 12
LESSON 11-5
12. If you roll a number cube 22 times, about how many times do you
expect to roll a number less than 4? 11
Extra Practice
3
10. randomly drawing a pink sock out of a drawer of 6 pink, 4 black,
6
3
8 white, and 2 blue socks all of the same size __
; 0.3; 30%
or __
3
28 combinations
3p
8
1
6
}}g
10
7p
g
12 p
15
5
28. 1.2k
5c
8
2.3
11 c
d d
0.5k
8
1
}}
2
7.4
k
3
29. Roberta and Stanley are collecting signatures for a petition. So far,
Roberta has twice as many signatures as Stanley. If she collects 30
more signatures, she will have 4 times as many signatures as Stanley
currently has. How many signatures has Stanley collected? 15
30. Gym members pay $3 per workout with a one time membership
fee of $98. Nonmembers pay $10 per workout. How many workouts
would both a member and a nonmember have to do to pay the same
amount? 14 workouts
23. In how many different ways can 5 students be matched up with
5 mentors? 120 ways
EP28
Extra Practice
EP26ÐEP29
Extra Practice
EP29
Extra Practice
Chapter 12
LESSON 12-4
Write an inequality for each situation.
31. The cafeteria could hold no more than 50 people. number of people
32. There were fewer than 20 boats in the marina. number of boats
50
20
Graph each inequality. 33–40. See p. A16.
Extra Practice
33. y
2
34. f
3
35. n
1.5
36. x
39. w
0 or w
4
Graph each compound inequality.
37. 1
s
4
38.
1
v
2
5
40.
3.5
y
2
41–44. See p. A16.
LESSON 12-5
Solve. Then graph each solution set on a number line.
41. c
6
c
5
1
42. v
v
3
4
1
43. w
6
47. p
7
w
1
7
44. a
2
5
a
7
Solve. Check each answer.
45. q
3
5
q
46. m
2
1
m
0
1
p
4
48. z
3
2
3
z
49. By Saturday night, 3 inches of rain had fallen in Happy Valley. The
weekend forecast predicted at least 8 inches of rain. How much more
rain must fall on Sunday for this forecast to be correct? at least 5 in.
5
LESSON 12-6
Solve. Check each answer.
50. _a5_
4.5 a
54. 13y
22.5
39 y
51.
_v_
2
2 v
4
x
52. ___
3.9
x
2
7.8
_c_
4
53.
c
2.3
57. 3s
5
1 56. 7r 56
t 2, or 22
r
8
s
58. The local candy store buys candy in bulk and then sells it by the
pound. If the store owner spends $135 on peppermints and then sells
them for $3.50 per pound, how many pounds must he sell to make
a profit? at least 39 lb
LESSON 12-7
55. 2t
3
5
9.2
4.5
1.5
59–67. See p. A16.
Solve. Then graph each solution set on a number line.
_
59. _m
3
62.
65. 5
1
1
s
___
3.5
2u
2 m
60. 7.2x
9
1 s
7
63.
15 u
5
66. _7r_
w
___
1.5
1
4.8
24
x
4
61.
8
10 w
3
64. 4j
6
67. 5
_m_
9
0 r
7
5.5h
2
16 j
13 h
2
11
1
, or 5
2
2
17 m
108
68. Jill, Serena, and Erin are trying to earn enough money to rent a beach
house for a week. They estimate that it will cost at least $1,650. If Jill
has already earned $600, how much must each of the others earn? at least $525
EP30
Extra Practice
EP30