Selected Answers
Chapter 1 Decimal Patterns and
Algebra
33.
Page 5 Chapter 1 Getting Started
1. true 3. 105.8 5. 60.64 7. 11.3 9. 27.69 11. 30.8
13. 17.01 15. 8.15 17. 1.1 19. 2,450 21. 61
35.
x 18
16
17
10
11
18
19
20
21
z 12
12
13
14
15
1. Sample answer: It helps to organize your thoughts and
37. 40 39. 25 41. 7.5 h 43. 3,500 mi 45. t 51 18 or
51 t 18; 33 in. 47. Sample answer: b 0; a is any
number 49. 958 51. 31 53. 19 55. 28 57. 150
focus on how to approach solving the problem.
5. 13 E-mails 7. 1,280,000
9.
11. 2004 13. Sample
answer: sweater, gloves,
and chocolates 15. 100
17. 625
1. p(q r) 3. false; (11 18) 5 145; 11 18 5 101
5. (10)2 (8)2; 36 7. Commutative Property of Addition
9. Distributive Property 11. 2(6) 2(7); 26 13. (11)8 (3)8; 112 15. 7(8) 7(6); 14 17. Sample answer: The
Pages 8–9 Lesson 1-1
Pages 11–13 Lesson 1-2
1. Five is used as a factor four times, or 5 5 5 5 54.
3. Sample answer: exponential form: 42; standard form: 125
5. 6 6 7. 8 8 8 8 8 9. 3,125 11. 56 13. 1,331
15. 4 4 17. 9 9 9 19. 11 11 11 21. 64 23. 625
25. 10 27. 4,096 29. 20,736 31. 125,000 33. 74 35. 65
37. 135 39. 28 41. Sample answer: A number taken to the
third power is the same as the volume of a cube, or the
amount of space inside a cube. 43. false 45. false
47. false 49. 63, 152, 35, 28 51. 83, 36, 64, 55 53. 113, 55, 94,
65 55. Sample answer: It is easier and less error-prone to
write 1015 than writing out 15 zeros. 57. 54 43
59. Sample answer: 390,625 534,000 823,543, or
58 534,000 77 61. 51 103 63. C 65. 3 67. false
69. 3.4 71. 3.07 73. 33.98 75. 3.5
the division, 24 6. Yutaka incorrectly multiplied 6 and 2
first. 5. 5 7. 27 9. 28 11. 53.5 13. 58 15. 27 17. 13
19. 13 21. 14.2 23. 5.8 25. 4 27. 10 29. 2 31. 88
33. 600 35. 195 37. 22.8 39. 19 41. Sample answer:
2(7) 2(9.5) 6; 39 cm 43. 450 45. 296,500 47. 57.9
49. 72 (9 27) 2 0 51. 16; The calculator followed
the order of operations. Ruby incorrectly added 2 2 first
when she should have divided 12 2 first. 53. D
55. Sample answer: 30 20, or about 10 days longer
57. 121 59. 1,024 61. 8 8 8 8 8 63. 4 4 4 4 4 4
65. 9 67. 18 69. 13
Pages 20–21 Lesson 1-4
1. coefficient: 2; constant: 6 3. x is a division
y
expression; the others are multiplication expressions. 5. 20
7. 21 9. 5 11. 16 13. 5 15. 7 17. 8 19. 12 21. 48
23. 1.6 25. 3 27. 32 29. 65.2 31. 5 33. 18 35. 3
37. Always; ab means a is multiplied by b. 39. 16n 41. 2,
2.5, 3, 3.5 43. about 118 45. $155; $200; $245 47. Sample
answer: x 5, y 2 49. August 51. 12 53. 4 55. true
57. false
Pages 26–27 Lesson 1-5
1. Sample answer: Find the value of the variable that makes
a true sentence. 3. Ivan; 75 25 50 is a true statement.
5. 17 7. 54 9. 23 11. 4 13. 23 points 15. 7 17. 38
19. 63 21. 5 23. 11 25. 20 27. 64 29. 20 31. 12
second expression, because it is easy to multiply 3 400,
3 50, and 3 6 mentally, and then add. 19. Associative
Property of Multiplication 21. Commutative Property of
Multiplication 23. Associative Property of Addition
25. Distributive Property 27. 239 531 531 239
29. 152 0 152 31. y 5 33. 32b 35. 2x 6
37. 5c 6 39. 6(40 8) 6(40) 6(8) 240 48 288;
Distributive Property 43. A 45. 8 47. 7.1 49. 7y
51. 625 53. 54 55. 20 57. 32.4
Pages 35–36 Lesson 1-7
1. Sample answer: Each term in an arithmetic sequence is
found by adding or subtracting the same number to or
from the previous term. Each term in a geometric sequence
is found by multiplying or dividing the previous term by
the same number. 5. Add 2 more than was added to the
previous term; neither. 7. 324, 972, 2,916 9. 6.6, 7, 7.4
11. 70, 7, 0.7, 0.07 13. 12; arith. 15. 3; geo.
17. Multiply by 1 more than was multiplied by the
previous term; neither. 19. 20.6, 24.6, 28.6 21. 1.3, 1.6, 1.9
23. 0.2, 0.04, 0.008 25. 1, 3, 6, 10, 15, 21, 28, 36 27. 76
29. 100 31. Distributive 33. 520 35. 3.2
Pages 40–41 Lesson 1-8
1. There are a greater number of smaller units. 3. Hunter;
Arturo multiplied 45.7 by 1,000; he should have divided by
1,000. 5. 45,000 7. 370 9. 2,340 11. 7.2 13. 64,000
15. 0.925 17. 8.5 19. 9,100 21. 0.043 23. 0.997
25. 0.0821 27. 57 29. 0.169 km 31. 0.02 km, 3,000 cm,
50 m 33. 0.06 L, 660 mL, 6.6 kL 35. 93,000 37. 0.04
39. 50 cm 41. 5 cobblers 43. 3,900,000,000 m 45. C
47. 9; arithmetic 49. 1.1; arithmetic 51. 5(9) 5(7); 80
53. 8(7) 8(2); 40 55. 800 57. 400,000 59. 6,500
Pages 44–45 Lesson 1-9
1. Sample answer: The numbers are being decomposed into
two factors. 3. 3.0 106; Sample answer: Chicago has a
population of about 3 million people: 3.0 106 3,000,000.
5. 100,000 7. 7.0 104 9. 1.75 107 11. 73,000
13. 338,000 15. 8,980,000 17. 798,000 19. 990,000,000
21. 80,600,000 23. 53,400, 5.03 105, 4.98 106, 4,980,100
25. 1.98 104 27. 9.97 106 29. 5.05 105 31. 2.36 107 33. 1.1 106 35. 6.08 1010 37. 54.3 quadrillion
39. 41. 43. 2.94 1014 mi 45. B 47. 1,010
49. 2,330
Selected Answers
623
Selected Answers
Pages 16–17 Lesson 1-3
1a. 14 7 1b. 24 3 3. Cynthia; the first step is to do
Pages 32–33 Lesson 1-6
Pages 46–48 Chapter 1 Study Guide and Review
1. b 3. d 5. f 7. $89.40 9. 40,353,607 11. 324
13. 10,000 15. 100 17. 25 19. 20 21. 33 23. 0 25. 11
27. 36 29. 56 31. $965 33. 8 35. 7 37. 108 39. 67
41. Associative Property of Multiplication 43. Identity
Property of Multiplication 45. arithmetic; 1.2; 6.8, 8.0, 9.2
47. $125, $62.50, $31.25 49. 29,000 51. 0.007
53. 5.9 104 55. 3.24 105 57. 1.03 106 59. 9.1 106
Chapter 2 Statistics: Analyzing Data
Page 53 Chapter 2 Getting Started
1. hundredths 3. greatest to least 5. thousands 7. ones
9. 5.062, 5.16, 5.61 11. 0.398, 3.98, 39.8 13. 10.26, 1.26,
1.026 15. 69.79, 68.99, 68.9 17. 86 19. 555
Pages 56–57 Lesson 2-1
1. An advantage of using a frequency table is that it
organizes data to provide a quick summary. It makes it
easier to see quickly the number of times each item of data
appears. A disadvantage is that a frequency table may not
show the individual pieces of data. 3. The interval in each
category must be the same, 50.
5. Sample answer:
Number of
Tally
Selected Answers
Movie Rentals
7. cereal
9. Sample answer:
Frequency
19. Sample answer:
Price (S|)
11–20
II
2
21–30
IIII
4
4
31–40
IIII
41–50
IIII
5
51–60
IIII
5
61–70
II
2
71–80
IIII
4
81–90
III
3
91–100
IIII I
6
Pages 61–63 Lesson 2-2
1. Graphs often show trends over time. If you continue the
pattern, you can use it to make a prediction. 3. Tally
mark; the other three are ways to display data. 5. Yes; in
the 7th week he will be able to run 1 mile in about
7 minutes. 9. Sample answer: 210 nations 11. Sample
answer: As the speed increases, the distance required to
come to a complete stop increases. 13. The data do not
appear to fall along a straight line. So, birth month and
height do not seem to be related. 15. A 17. Sample
answer: 2; 18–48 19. 92 21. 73 23. 6.1, 6.2, 6.2, 6.2, 6.4,
6.5, 6.5, 6.7, 6.7, 6.8, 6.8, 6.8, 6.8, 7.0, 7.0
III
3
Pages 66–68 Lesson 2-3
3–5
IIII
5
1. Sample answer: the greatest and least values, clusters of
6–8
II
2
9–11
IIII III
8
12–14
III
3
15–17
II
2
18–20
I
1
Tally
Frequency
data, gaps in data, how the data are spread out, the range,
and the pieces of data that appear most often 3. Darnell;
16 is the mode and 20 is the greatest value.
5.
0
1900–1919
II
2
1920–1939
IIII
4
1940–1959
IIII
4
1960–1979
IIII IIII
9
1980–1999
IIII III
8
Chore
Tally
wash dishes
8
IIII
clean room
IIII IIII II
do laundry
IIII I
6
do yard work
IIII
4
Tally
5
12
Frequency
1970–1979
II
2
1980–1989
III
3
1990–1999
IIII III
8
2000–2009
IIII II
7
17. Sample answer: 91–110 Calories
624 Selected Answers
6
8
13.
vacuum
Year
4
10
12
14
16
18 20
rather than 37.
Frequency
IIII III
2
7. Sample answer: Most of the students in the class own
6–12 music CDs. 9. 104°F 11. The range would be 29
80 82 84 86 88 90 92 94 96 98 100
Sample answer: cluster 90–93; gap 79–85; outlier 79
15. Sometimes; clusters may appear anywhere on the line
plot. 17. 5
19.
0
13. Sample answer:
Most of the scooter prices
are spread out evenly
among the intervals, with
the $91–$100 category
containing the greatest
number. An advantage of
using this scale and interval
is that you can get a more
detailed distribution. A
disadvantage is that it is
difficult to see clusters or
trends.
21. F 23. 533,000
25. 60,000,000 27. 78°F
Frequency
0–2
Year
11. Sample answer:
Tally
5
10
15
20
25
30
35
40
21. Sample answer: Most of the animals represented on the
line plot have a life span of 10–20 years. 23. Sample
answer: Bowler B is more consistent because excluding the
outlier of 90, the range of scores is 4 points, compared with
a range of 10 for Bowler A. Bowler A has scores evenly
spread out from 90 to 100. 25. D 27. Sample answer: The
more it rains, the taller the grass becomes. 29. 75 31. 29
33. 47 35. 16.1 37. 12.6 39. 36.4
Pages 71–72 Lesson 2-4
1. Sometimes; if there is an odd number of items, the
median is the middle number. If there is an even number of
items, the median is the mean of the two middle numbers.
3. Jared; the median is the 11th term of the ordered data, or
2. The mode is the number that appears most often, or 3.
5. 52.3; 57; 59 7. 2; 8; 7 9. Sample answer: Any of the
three measures could be used to represent the data. The
mean is slightly greater than most of the data items, and
therefore is a less accurate description of the data. 11. 8.7;
9.0; 8.0 and 9.3 13. $12; $9; $6 15. $7.94; $8; $7.50
17. Sample answer: The mean or median best represent the
data because half of the items are less than these values and
half are greater. The mode is less than a large number of the
data items, so it does not best represent the data.
19. Sample answer: The mean would be most affected; the
mode would be the least affected, since it would not
change. 21. 12 23. line graph 25. ones 27. tens
Pages 78–79 Lesson 2-5
1. Both a stem-and-leaf plot and frequency table show the
frequency of data occurring. However, a stem-and-leaf plot
shows individual data values and a frequency table shows
only the number of data items occurring in each interval.
3. 0, 1, 2, 3
5. Stem Leaf
1 6 9
2 1 3 5 5 9
3 1 3 4 5 9
4 2 7 8 34 34
7. 31 9. 32.9; 35; 40
11. Stem Leaf
13. Stem
40
41
42
43
44
45
3 3 5
4 8
0 1 2 2 5 6 8 8 8 13 13
Leaf
3
1
3 4 9
2 9
1 4 4 7 8 9 439 439
15. 26 17. $110; $115 and $150
19. Stem Leaf
1
0
3
1
1
4
6
2
1
3
2
2
4
8
7
2
3
2
2
7
3
4
4
4
5
5
5
5
7 8 8
6 7 8 9
9
9
24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56
Stem
2
3
4
5
Leaf
4 6 6 8
0 2 3 4 5 5 6 6 8 8
0 0 0 5 9
6
35 $35
All three representations show the frequency of data
occurring. The frequency table shows intervals of data and
is useful in comparing price ranges. The line plot gives a
good picture of the spread of the data. The stem-and-leaf
plot shows individual prices as in the line plot, as well as
intervals, such as $20s, $30s, and so on.
25. 97 27. 4.3; 3.6; 3.6 and 2.4 29. 21 31. 13 33. 6, 7.9,
8, 8.4 35. 0.09, 0.14, 0.33, 0.7
Pages 82–83 Lesson 2-6
1. Sample answer: In a stem-and-leaf plot, you can see each
data item and how the data are clustered. In a box-andwhisker plot, you can immediately see the median and how
the data are dispersed. 3. 270; 350; 380; 588; 1,221
5.
200
400
600
800
1,000
1,200 1,400
7. 15; 30.5; 45; 51.5; 58 9. one-fourth 11. 0 and 4,600; no
outliers 13. one half 15. A set in which an extreme value
and a quartile are the same has no whisker on that side of
the box-and-whisker plot. 17. 20.5 19. 7.4; 7.4; none
21. Sample answer: 5; 0–19
Pages 87–89 Lesson 2-7
1. Sample answer: Each interval represents a portion of the
data set. The number of items in each interval is indicated
by the frequency, typically shown along the vertical scale.
By adding the frequencies for each interval, you can
determine the number of values in the data set. 3. World
Cup Soccer titles of seven countries 5. The horizontal axis
represents the countries and the vertical axis represents the
number of wins. 7. the number of candies found in 50
snack-size packages
9. Candies in Snack-Size Packages
11. Sample answer:
The bars are
30
horizontal; the
25
categories are on
20
the vertical axis and
15
the scale is on the
10
horizontal axis.
13. Sample answer:
5
200,000
0
Frequency
5
6
7
8
8
9
10
94 94 points
21. Sample answer: Most of the game point totals are
clustered from 60 to 89 points. There do not appear to be
any gaps or outliers.
23. Sample answer:
Price ($)
Tally
Frequency
20–29
IIII
4
30–39
IIII IIII
40–49
IIII
5
50–59
I
1
10
9–11 12–14 15–17 18–20
Candies in Package
15. Sample answer: The histogram is strongly skewed
toward the lower end, with a high concentration in the
number of states with 10 or fewer representatives. The
distribution spreads out from there, with fewer and fewer
states as the number per state increases. 17. Sample
answer: Both histograms show that many players have
salaries in the lowest interval of the histogram, less than
Selected Answers
625
Selected Answers
1
2
4
$1 million. Both histograms show one, two, or three players
in several of the other intervals. The Diamondbacks’
salaries show only three players’ salaries of more than $7
million, while the Yankees have seven players in that same
range. 19. Sample answer: It is easier to compare two sets
of data. 21. histogram
23. Stem Leaf
25. false
0 2 5 9
1 0 2 3 6 7
2 3 5 5
3 1 23 23
Chapter 3 Algebra: Integers
Page 105 Chapter 3 Getting Started
1. false; median 3. 5. 7. 123 9. 1,730
13. 90 15. 7 17. 25 19. 14; 17 21. 100; 34
11. 30
Pages 107–108 Lesson 3-1
1. Sample answers: temperature, golf scores, elevation, gain
or loss of money 3. 3; The other expressions equal 3.
5. 11 7. 7 9. 6 11. 9 13. 0 15. 2008 17. 50 19. 6
21. 9 23. 4 25. 14 27. 0 29. 2 protons: 2; 5 electrons: 5
31.
4 3 2 1 0 1 2 3 4 5
Pages 93–95 Lesson 2-8
1. Sample answer: Outliers may distort measures of central
tendency; data shown in graphs may be exaggerated or
minimized by manipulating scales and intervals. 3. The
cost is increasing over time. In about a year’s time, the cost
has more than tripled. 5. Sample answer: The median,
because it will not be affected by the high prices.
7. Sample answer: Although both graphs show a decrease
in network viewers, in Graph B, a change in the vertical
scale makes it appear that the viewers are decreasing more
rapidly. 9. 488.3; none; 150 11. median 13. Yes; all the
other test scores were lower than 96. 15. B 17. the
number of in-line skaters in New York, almost 2 million
19. $7.57; $7.50; $7.50 and $8.00 21. 8,500 23. 0.643
Pages 96–98 Chapter 2 Study Guide and Review
Selected Answers
1. true 3. true 5. false; outlier 7. true
9. Sample answer:
Hours of Sleep Tally
7
8
9
5
I
1
6
III
3
7
IIII
5
8
IIII
4
9
III
3
11 12
Pages 110–111 Lesson 3-2
3. right 5. 7. 9. 15, 13, 10, 4, 13,
5 11. 13. 15. 17. 19. 21. 23. false; 8 5 25. true
27. true 29. Mar. 2, Mar. 6, Mar. 1, Mar. 5, Mar. 3, Mar. 4,
Mar. 7 31. 7, 6, 4, 1, 3, 5 33. They are negative
integers. 35. 7 37. 20
39. x 2
1.
5 4 3 2 1
0
1
1
0
1
2
3
4
0
1
2
3
4
5
41. x 3
Pages 114–115 Lesson 3-3
1. Sample answer: Point A is 1 unit to the right and 2 units
down from the origin, in quadrant IV. Point B is 2 units to
the left and 1 unit up from the origin, in quadrant II.
3. (2, 4), III 5. (0, 3), y-axis
y
6–8.
9. (2, 2), II 11. (5, 0),
T
x-axis 13. (2, 2), IV
(4, 6)
15. (3, 5), IV 17. (2, 2), I
19. (0, 32)
S
(2, 3)
U (5, 0)
10
109 8 76543 21 0
35. true 37. B 39. The very high salary increases the
mean. 41. 43. 45. Frequency
11. Sample answer: 17 million
13.
33.
13 14
x
O
Sample answer: cluster 7–9; gap 9–14; outlier 14
15.
20–31.
y
N (2, 10)
T (3, 7)
M (5, 6)
16 18 20 22 24 26 28 30
Sample answer: cluster 19–23; gap 23–28; outlier 28
17. 24.4; 24; 18 and 31 19. 132.3, 130.5, 136
21. Stem Leaf
23. Stem Leaf
5 3
20 1 4
6
21 8 9
7 5 8 8
22 1 5 9
8 3 5 7 7 9
23 4 234 234
9 1 2 75 75
Y (6.5, 6.5)
S (0, 6)
V (8, 1)
Q (3, 0)
U (5, 2)
X (1.5, 3)
W (5, 7)
R (1, 7)
25. 11.5
27.
x
O
P (7, 8)
29. 8
55
60
65
70
626 Selected Answers
75
80
85
90
95
33. Sometimes; both (2, 0) and (2, 0) lie on the x-axis.
35. China 37. Children’s Zoo 39. (3, 2) 41. Sample
answer: On the coordinate plane, I would walk 1 unit right,
then 4 units down. 43. Quadrant I when both x- and
y-coordinates are positive; quadrant III when both x- and
y-coordinates are negative; the origin when both x- and
y-coordinates are 0. 45. G 47. 49. 51. 101
53. 384 55. 7,470
Pages 122–124 Lesson 3-4
1. 2 (7) 5 Sample model:
39. 400 41. 300 43. 700 45. 32, 64; geometric:
multiply the previous term by 2
y
47. Sample answer: new
triangle P
Q
R
is on the
other side of the origin (in
quadrant III) from original
x
Q' O
triangle PQR (which is in
quadrant I).
7
2
5 4 3 2 1
0
1
R'
2
3
3. Brooke; Javier added correctly but did not apply the sign
of the greater absolute value. 5. 14 7. 4 9. less since
$42 $35 $7 11. 0 13. 6 15. 25 17. 14
19. 0 21. 38 23. 8 25. 30 27. 3 (6); 9ºF
29. 6 14; 8 ft 31. 4 33. 13 35. 12 37. 0 39. 3
41. 18 43. 12 45. Webb; 14 12 47. y 2
49. n 51. f (8)
53. Sample answer:
49. when n is an even number 51. F 53. 8 55. 0 57. 2
59. 20 and younger, 21–25, 26–30 61. 8 63. 4
Pages 140–141 Lesson 3-7
1. 42 7 6, 42 (6) 7 3. 18 (9) has a
positive quotient; the others have negative quotients.
5. 8 7. 1 9. 4 11. 2 13. 5 15. 7 17. 4
19. 15 21. 1 23. 5 25. 1 27. 3 29. 2 31. 3
33. p 45 3; p 15 or 15-yd penalty 35. 3, 1;
Divide the previous term by 3. 37. 36 sea otters per
year 39. 1, 2, 4, 5, 10, 20, 1, 2, 4, 5, 10, 20
41. H 43. 28 45. 60 47. 18 49. 0.003 g
Pages 142–144 Chapter 3 Study Guide and Review
1. negative 3. 7 5. origin 7. x-coordinate 9. negative
11. 150 13. 8 15. 11 17. 5 19. 25 21. 23. 25. 27. 32, 23, 21, 14, 19, 25 29. 3°, 1°, 0°, 1°,
2° 31. (3, 5), III 33. (0, 3), y-axis
y
34–37.
39. 13 41. 0
43. 13 45. 7
47. 42 49. 35 51. 28
F (5, 2)
53. 35 55. 5 57. 2
H (4, 0)
59. 50 ft per h
O
x
G (2, 3)
E (1, 4)
Selected Answers
6 9 (4) 6 (4) 9
Comm. ()
(6 (4)) 9 Assoc. ()
10 9
Simplify.
1
55. Sample answer:
8 10 (8) 8 (8) 10
Comm. ()
(8 (8)) 10 Assoc. ()
0 10
Additive Inv.
10
57. Sample answer:
8 (9) 9 8 ((9) 9) Assoc. ()
80
Additive Inv.
8
Simplify.
61. 2; 2; No, addition is associative. 63. 11
65. (0, 2), y-axis 67. (1, 1), I
69.
71. 24
P'
75 76 77 78 79 80 81 82 83 84 85 86
Pages 130–131 Lesson 3-5
1. Sample answer: To subtract an integer, add its additive
inverse. 3. Mitsu; Bradley did not add the additive
inverse of 19. 5. 3 7. 2 9. 8 11. 265°F 13. 10
15. 4 17. 20 19. 23 21. 29 23. 2 25. 6 27. 3
29. 1 31. 4 33. 18 35. 0 37. 12 39. 11 41. 3
43. 8 45. 2,139 m 47. Tiberius; 79 yr 49. always;
2 3 5 51. sometimes; 5 2 3, 2 5 3
53. true 55. 300 57. 11 59. 14 61. 70 63. 192
Chapter 4 Algebra: Linear Equations
and Functions
Page 149 Chapter 4 Getting Started
1. solved 3. 4 5. 11
y
7.
9. 8 11. 4 13. 11
(4, 3)
15. 14 17. 2 19. 2
O
x
Pages 136–137 Lesson 3-6
1. 2(3) 6
3. negative; 2(3)(4) 24 5. 45 7. 10a 9. 45c
11. 70 13. 875, or 875 feet below sea level 15. 80
17. 170 19. 36 21. 450 23. 220 25. 64 27. 49
29. 70d 31. 72f 33. 24h 35. 10rs 37. 40
Pages 151–152 Lesson 4-1
1. Sample answer: 5 dollars more than my allowance is 8
dollars. 3. x 8 5. 10h 7. n 4 9 9. a 2.4 35.3
11. y 5 13. n 6 15. 2f 17. z 19. c 2 4
12
21. 10k 280 23. n 5 31 25. 2z 3 15
27. y 7 or 4.5y 29. x 2; x 2 31. H 33. 5 35. 8
37. 1 39. 0
Selected Answers
627
Pages 158–159 Lesson 4-2
1. Addition Property of Equality 3. b 5 4; All of the
other equations have solutions equal to 1. This one equals
1. 5. 2 7. 11 9. 3 11. 7 13. 3 15. 9 17. 17
19. 7 21. 4 23. 61 25. 5 27. 12 29. 5 31. 18.4
33. 6.4 35. 0.68 37. 415 105 x; 310 ft 39. The
value of y must decrease by 3. 41. 3 43. 5 45. 9
47. 1.2 49. 301
Pages 179–181 Lesson 4-6
1. Sample answer: y 2x
3.
x
x2
y
1
12
1
2
22
0
3
32
1
4
42
2
5.
Pages 162–163 Lesson 4-3
1. No; 3(4) equals 12. 3. Jesse; the variable is
multiplied by 5. To solve for x, you need to divide each
side of the equation by the entire coefficient, 5. 5. 2
7. 4 9. 7 11. 6 13. 7 15. 3 17. 14 19. 5
21. 133 23. 10 25. 55 27. 40 29. 2.5 h 31. 24 in.
33. 1.5 35. 5.4 37. 0.8 39. 100 s 41. Blue Streak 24.36 ft/s;
Corkscrew 17.08 ft/s; Magnum 42.55 ft/s; Mean Streak 32.89 ft/s
43. C 45. 10 47. 3 49. a 5 51. 2r 53. 14
55. 21
Pages 168–169 Lesson 4-4
1. Sample answer: 3x 10 4 3. 2 5. 3 7. 6 9. 3
11. 4 13. 4 15. 9 17. 8 19. 11 21. 8 23. 0 25. 3
27. 2 29. 14 31. 2.25 33. 2.1 35. 28 37. 16 39. 3 h
41. Less than; 3°F is about 19.4°C. 43. C 45. 7
47. 41 49. 14 ft 51. 53. 9.
Selected Answers
1
2
6
7
8
13.
2x 4 and x 1 3
1
2
3
4
5
x
O
11.
x5
y
x
6x
1
15
6
1
6(1)
2
25
7
0
6(0)
0
3
35
8
1
6(1)
6
4
45
9
2
6(2)
12
domain: {1, 2, 3, 4};
range: {6, 7, 8, 9}
9. d 4
7.
x
x
y
6
domain: {1, 0, 1, 2};
range: {6, 0, 6, 12}
x
2x 2
1
2(1) 2
0
0
2(0) 2
2
1
2(1) 2
4
2
2(2) 2
6
15.
0
y 2x 3
O
5.
5 4 3 2 1
y
yx1
3. Sample answer:
10 9 8 7 6 5 4 3 2
7.
y
Pages 174–175 Lesson 4-5
1.
domain: {1, 2, 3, 4};
range: {1, 0, 1, 2}
y
domain: {1, 0, 1, 2};
range: {0, 2, 4, 6}
17.
y
yx3
y
y 2x
11.
6 5 4 3 2 1
0
1
6 5 4 3 2 1
0
1
3 2 1
3
4
x
O
13.
O
x
15.
0
1
2
19.
21.
y
y
17.
5 4 3 2 1
0
1
2
y 3x 1
19.
10 9 8 7 6 5 4 3
21. x 6 23. g 7 25. u 6 27. y 4 29. p 1
O
y 2x 5
x
3
31. d 0 33. w 1 5; w 4 35. a 16 37. all except
baseball-softball 39. h 2,000,000 41. j 2.14, so 1 or 2
pairs of jeans 43. B 45. 8 47. 13
y
y
49.
51.
O
23.
25.
y
(4, 2)
x
y
y 2x 1.5
O
x
O
(3, 4)
628 Selected Answers
x
O
y 0.25x
x
O
x
27. y x 5
29.
x
2.67x
x
x5
y
1
2.67(1)
2.67
1
1 5
6
2
2.67(2)
5.34
0
05
5
3
2.67(3)
8.01
1
15
4
4
2.67(4)
10.68
2
25
3
19. The slope represents the amount of money earned with
respect to the number of hours worked. 21. 1994–1995;
The slope is steepest. 23. The sales remained constant;
y
there is no change in the slope of the line. It is horizontal
and the slope is equal to zero.
25. nonlinear
27.
31. Average Defense Spending
33. y 20x
Total Spending ($)
x
O
(4, 10.68)
(3, 8.01)
31. C
33.
(2, 5.34)
(1, 2.67)
0
35.
y
y
x
y 2x 1
1 2 3 4 5 6 7
yx4
Days
Area (square units)
35.
A
A 5w
x
O
(4, 20)
(3, 15)
(2, 10)
(1, 5)
0
x
O
37. y x 2
39. y 4x
Rectangles
25
20
15
10
5
x
O
(4, 1)
y
y 2.67x
y
(2, 3)
(per person)
14
12
10
8
6
4
2
29.
y
Pages 186–188 Chapter 4 Study Guide and Review
1. true 3. true 5. true 7. false; 7 9. false; 6
w
6
11. n 5 13. 2a 15. a 10 23 17. 5
14 19. 3
z
21. 1 23. 13 25. 23 27. 2 29. 4 31. 12 33. 9
35. 11 37. 6 39. 1 41. 9.8 43. 3
45. y 3
1 2 3 4 5 6
Width (units)
41. nonlinear;
43. linear;
y
y
0
1
2
3
4
5
6
1
2
3
4
5
6
7
y 2x
O
x
2
yx 1
Selected Answers
47. d 5
49. s 11
7
8
9
10 11 12 13
51. m 3
5 4 3 2 1
x
O
0
1
53. t 2
1
45. nonlinear;
47. D 49. x 25 51. 13
53. 2 55. 3
y
55.
0
1
3
x
yx4
2
O
4
5
57.
y
O
y 2x
2
y
y 1x
O
x
x
Pages 184–185 Lesson 4-7
1. the steepness of a line from left to right
3. Sample answer:
y
5. 1 7. 3 9. 1 11. 3
(2, 1)
13. 1 15. 1 17. Monica; her
(0, 0)
3
2
earnings are increasing faster.
x
O
59.
61. y 6x 63. 4 65. 1
y
y 2x 3
O
x
Selected Answers
629
Chapter 5 Fractions, Decimals, and
Percents
1. Sample answer: 1 0.5; 2 0.2 3. 0.63 5. 12.470
Page 195 Chapter 5 Getting Started
1. greater 3. 0.61 5. 0.33 7. 5 9. none
13. 2 2 2 15. 7 7 17. 43 19. 15
7. 3.625 9. 1.83 11. 1 13. 0.522 15. 5.921 17. 13.146
10
19. 30.6841 21. 0.8 23. 0.72 25. 0.15 27. 6.425
4
29. 0.714285 31. 4.203 33. 3 35. 1 37. 5 2
39. 13;
11. 0.4
Pages 199–200 Lesson 5-1
1. Sample answer: Both prime and composite numbers are
whole numbers greater than 1. A prime number has exactly
two factors, 1 and itself. Composite numbers have more
than two factors. 3. Sample answer: 9 is not prime.
5. prime 7. prime 9. 2 3 5 11. 2 5 a c
13. composite 15. prime 17. composite 19. prime
21. 22 32 23. 32 11 25. 2 3 5 7 27. 2 32 7
29. composite 31. 2 2 5 p q 33. 7 7 y y 35. 2 2 2 2 3 a a b b 37. 8 39. 7 41. 52 43. Sample
answer: 5 and 7, 11 and 13, and 17 and 19 45. 23 3 5
47. Sample answer: twenty 2-ft-by-3-ft tiles,
or twelve 2-ft-by-5-ft tiles 49. 36 51. composite
y
53.
55. negative 57. zero
59. 2, 5, 10 61. 3, 9
Pages 212–213 Lesson 5-4
2
12
25
3 9
4
5
25
41. 89; 23 43. 2.3 h 45. 3.160; Archimedes’
10
47. B 49. 5
12
50
51. 2
7
53. 12 55. 3 57. 4
9
12
Pages 218–219 Lesson 5-5
1. 9; 36% 3. 1%; the other ratios equal 10%. 5. 29.2%
25
7. 25% 9. 80% 11. 9 13. 3 15. 75% 17. 12.2%
10
4
19. 112% 21. 99.9% 23. 20% 25. 80% 27. 74%
7
29. 26% 31. 95% 33. 12% 35. 76% 37. 1 39. 9
20
4
1
1
41. 1 43. 3
45. 17 47. 1
49. 1 51. 36% 53. 17
25
50
2
50
25
55. D 57. 0.65 59. 0.41 61. 162 63. 0.144
Pages 222–223 Lesson 5-6
1. Sample answer: 0.25, 1, 25% 3. 0.68 5. 0.276 7. 56%
4
9. 8% 11. 0.012 13. 0.7 15. 0.01 17. 0.022 19. 0.3025
21. 8% 23. 60% 25. 14.5% 27. 70.25% 29. 90.5%
31. 80.8% 33. 10% to 67% 35. Z 37. O 39. 76.5%
5
41. 99% 43. 4
45. G 47. 72% 49. 18% 51. 9.375
80
53. 23 students 55. 2 52 57. 22 19
y 3x 1
x
Selected Answers
Pages 225–226 Lesson 5-7
Pages 205–206 Lesson 5-2
1. Sample answer: 32 and 48 3. Tiffany is correct; Charles
included extra factors of 2 and 3. 5. 15 7. 6 9. 6 11. 5
13. 24 15. 8 17. 6 19. 7 21. 5 23. never
25. sometimes 27. 9b 29. 10x 31. Sample answer: The
first building is 9 in. high, 3 in. long, and 4 in. wide. The
second building is 9 in. high, 6 in. long, and 5 in. wide. The
third building is 9 in. high, 5 in. long, and 5 in. wide.
33. No; Sample answer: There are a total of 16 pieces if the
sandwiches are cut into 4-inch long pieces. The sandwiches
would have to be cut into 3-inch long pieces for everyone
to get a sandwich. Then, there would be about 22 pieces.
35. True; their only common factor is 1. 37. True; their
only common factor is 1. 39. G 41. composite
1. 3 and 4 are factors of 12; 12 is a multiple (and LCM) of
3 and 4. 3. Sometimes; the LCM of 3 and 9 is 9; the LCM
of 3 and 5 is 15. 5. 42 7. 4 packages of hot dogs and
5 packages of buns 9. 48 11. 72 13. 315 15. 72
17. 420 19. 144 21. 45n, where n 5, 6, 7, … 23. 5 s;
3
17
3 s; 30 s 25. 22 52, or 100 27. 2012 29. 31. 25
25
33. 35. 43. composite 45. 1
3 out of 4 has an average of 0.75; 7 out of 11 has an average
2
47. 0.02 L 49. 24 51. 16
Pages 229–231 Lesson 5-8
1. Sample answer: 2, 5 3. 45 5. 7. 9. 0.59, 60%,
15 6
31
11. yes 13. 20 15. 70 17. 36 19. 21. 23. 50
25. 27. 29. 31. 33. 35. 3 saves out of 4;
of about 0.64.
9
41. 0.49, 0.5, 4
50
Pages 208–209 Lesson 5-3
1. Sample answer: A fraction is in simplest form if the GCF
of the numerator and denominator is 1. 3. Seki; Luther
37. 19%, 1 , 0.23 39. 0.615, 62%, 5
5
8
43. Christopher 45. no 47. no 49. yes
51. Sample answer: 23 is the same as 2.75. Fill the cup to
4
did not divide the numerator and denominator by the GCF.
halfway between 2.7 and 2.8.
7. 4 9. 5
13
7
6 15
10
21. ,
23. ,
10 25
16
and 2 is the least.
5. 3
5
11. 7
10
20
25.
32
13. 4
7
3
27.
5
15. 6 17. 1 19. 5
7
6
3
29. No, because
4
both the numerator and denominator can be divided by 2.
31. Sample answer:
33. 2 32 5 7
35. 0.25 37. 0.375
3
63
53. 6
; the difference of 32
32
0
66
55. McGwire: 7
0.138; Sosa: 509
643
0.103; McGwire 57. Sample answer: When the numerators
are the same, the fraction with the largest denominator is the
4
7
2
5
least fraction. 59. 47%, , 47, 47.41, 47.4
61. 0.04 63. 0.14
Pages 232–234 Chapter 5 Study Guide and Review
1. c 3. d 5. a 7. prime 9. composite 11. 27 13. 5 19
7
15. 9 17. 14 19. 18w 21. 4 23. 1 25. 3
27. 1
5
630 Selected Answers
11
45
20
23. 81 25. 51 27. 65 29. 192 31. 63 33. 41
1
29. 0.875 31. 4.3 33. 1.857142 35. 1
37. 9 39. 2
9
41. 44% 43. 40% 45. 1
20
25
50
15
4
25
6
3
5
3
35. 313 37. 385 39. 6 6 41. 137 43. 20 ft 45. H
16
11
18
8
47. Sample answer: 1 1 1 49. Sample answer: 9 7 19
51
63 51. 53. 55. 57. 47. 4 49. 0.48 51. 0.125
25
53. 61% 55. 19% 57. 0.23 59. 8 61. 24 63. 120
65. 67. 69. 8
10
Pages 256–257 Lesson 6-4
Chapter 6 Applying Fractions
1. Sample answer: 2 and 4 3. Less than; 4 of 18 is a
Page 239 Chapter 6 Getting Started
1. Property 3. 35 5. 30 7. 21.6 9. 0.83
fraction of 18.
3
11. 7.5 13. 26
5
3
15. 55 17. 4
19. 22
4
Pages 242–243 Lesson 6-1
1. Sample answer: Models are useful to determine whether
1
2
fractions are closer to 0, , or 1, and to check estimates.
2
1
2
so the sum is greater than or 1. 3c. No; both fractions
1
are less than , so the sum is less than 1. 5–37. Sample
2
Pages 260–261 Lesson 6-5
1. no; 8 24 3. 2, 3; The other pairs of numbers are
3
5. 9 or 41 7. 5
2
29
2
11
2
3
3
19. 1 21. 5 23. 36 25. 30 27. 24 29. 4
22
3
5
31. 42.12 33. 2.88 35. 137.5 mi 37. Sample answer: Use
the Multiplicative Property to multiply each side by 2.
Then use the Division Property to divide each side by h.
39. 16 41. 9 43. 22 45. 6 47. 5
17
3
6
49. Sample answer: 24 12 2 51. Sample answer: 1 2A
h
So, b .
Page 266 Lesson 6-6
1. Sample answer: How many 1-pound hamburgers can be
7. 1 9. 1 11. 15
made with 10 pounds of ground beef? 3. 2 5. 2
7
4
race 41. Sierra; she has
5
8
1
of her allowance left
4
1
over; Jacob has left over.
15
43. C 45. Sample answer: 1 1 1 47. Sample answer:
2
2
5
6
16 8 2 49. friend/family 51. 4 53. 11
3
5
Pages 250–251 Lesson 6-3
1. Sample answer: A table is 81 feet long. A tablecloth is 21
2
1
2
2
13
5. 4
7. 9
9.
3
20
5
1
19. 7 21. 7
12
2
1
3
1
8
4
3
feet longer. How long is the tablecloth? Answer: 8 2 or
3. less than; 7 1 2 7
13. 45 15. 95 17. 81
3
1
15
2
5
7. 24 boxes 9. 2 11. 11 13. 2 15. 33 17. 1 19. 27
3
6
9
4
15
6
21. greater than 1 because 71 32 23. 11 lb 25. 7 or 11
6
27. 1 29. 1 31. 14 33. 16
16
3
6
6
16
8
Pages 268–269 Lesson 6-7
1. Sample answer: A recipe calls for 2 pints of strawberries.
How many cups is this? Answer: 4 c 3. 3 5. 3 7. 500
9. 100 T 11. 6 13. 16 15. 9 17. 10,560 19. 41 21. 5 1
2
23. 11 25. 103 27. 82.8 29. 1 31. 43 3 gal
3
4
2
4
33. Pounds Ounces
y
1
16
2
32
3
48
4
64
80
64
48
32
16
0
2
(4, 64)
(3, 48)
(2, 32)
(1, 16)
x
1 2 3 4 5
Pounds
The graph is a straight line. For each x-value increase of 1,
the y value increases by 16. 35. A 37. 28 39. 10.8
41. 34 43. 19
Selected Answers
631
Selected Answers
using the LCD. 5. 1
18
4
4
13. 8 15. 4 17. 2
15
7
3
19. 2 21. 19 23. 1
3
30
5
1
1
3
25. 1
27.
29. 11
24
4
24
31. 1 33. 11 35. 5
20
15
6
37. 1 39. Jon; 1 of the
12
18
2
8
9
37. Always;
9. 12 11. 11 13. 20.5 15. 2 17. 8 or 22
rename the fractions
1
4
8
3
35. 7 or 0.175 km
40
11
11. 175
24
6
3. Jacinta; Marissa did not
3
8
5
10 ft
6
6
sample answer: the numerators of the fractions are less
than the denominators, so the product of the numerators
will be less than the product of the denominators, resulting
3
Pages 246–247 Lesson 6-2
1. Sample answer:
2
1
33. 4
reciprocals, but these are not.
answers are given. 5. 6 3 18 7. 1 0 1 9. 22 11 2 11. 4 5 9 13. 5 3 2 15. 3 6 18
17. 1 1 11 19. 1 0 1 21. 0 1 0 23. 1 2
2
2
2
1
1 1 25. 14 7 27. 25 5 5 29. 12 4 3
2
31. 24 3 8 33. 3 9 27 35. 1 (66) 11
6
37. 3 1 or 2 c 39. It will be greater than the actual
quotient. 41. H 43. 45. 47. 12 49. 24
3
8
32
5
39. 7/16 41. 6 43. 17
18
7
45. 4 47. 3 49. 5°F 51. 62.7 53. 2.88
3b. Yes; both fractions are greater than 1,
1
2
3
in a fraction that is less than 1.
3a. Yes; the sum of 1 and a fraction greater than 1 is
2
2
greater than 1.
5
36
31. 82
3
2
29. 42
5
5
17. 1 19. 5 21. 41 23. 2,700 votes 25. 22 27. 16
Ounces
4
5
5. 1 7. 2 9. 63 11. 3 13. 1 15. 1
Pages 272–273 Lesson 6-8
1. Perimeter is the sum of measures, so the units are the
same. Area is the product of measures, so the units are
3. 18 yd; 20 yd2 5. 26 cm; 42 cm2 7. 231 ft
squared.
3
9. 82 in.; 414 in2 11. 65.4 m; 183.6 m2 13. 301 in.; 477 in2
15. 60 cm; 216
cm2
2
81 yd2 or 735 ft2
3
17. 153 in.; 14 in2
20
10
5
19. 371 yd or 112 ft;
3
21. The perimeter is doubled, the area
3
23. 351
ft 25. 7 boxes 27. 1.5 acres;
24
65,010 43,560 29. The rectangles have the same
is quadrupled.
perimeters; as the lengths and widths get closer, the areas
31. 36 33. A 35. 10,500 37. 71 39. 33
2
41. 44 43. 45
increase.
7
Pages 276–277 Lesson 6-9
1. The circumference increases by 2 for every 1-unit
increase in r. 3. Mya; Aidan incorrectly applied the
formula that uses the diameter. 5. 44 m 7. 73.5 cm
9. 11 yd 11. 50.2 ft 13. 44 yd 15. 47.4 m 17. 12.6 km
19. 285.7 m 21. 161 in. 23. 785 ft 25. 2 or 6.28
2
27. 69.1 in. 29. 17.6 cm; 19 cm2 31. 8 yd
Pages 278–280 Chapter 6 Study Guide and Review
1. diameter 3. Area 5. reciprocal 7. Sample answer:
3 1 3 9. Sample answer: 1 0 0 11. Sample
1
17. 13 19. 5
12
24
5
21. 11 23. 73 25. 101 27. 24 29. 151 31. 6
10
15
35
5
7
8
33. 2 35. 13 37. 111 mi 39. 1 41. 16 43. 22.8
16
7
4
5
45. 7 47. 61 49. 33 51. 3 53. 3 55. 24 57. 4
10
10
22
2
4
59. 3 61. 61 ft; 15 ft2 63. 11 in.; 21 in2 65. 132 ft; 101 ft2
16
4
2
3
2
1
2
1
6
answer: 26 13 13. 15. Selected Answers
67. 25.1 yd 69. 26.4 ft
9. Music Rox; $14.95/CD $17.99/CD 11. 152 customers
per day 13. $1.48 per lb 15. 270 C per serving
17. 32 mi per gal 19. 150 for $11.99 21. 4,000 gal per min
23. about 179 people per sq mi 25. Sometimes; a ratio that
compares two measurements with different units is a rate,
2 mi
10 min
such as . A ratio that compares two numbers or two
2c
3c
measurements with like units is not a rate, such as .
27. human, 72 beats/min; elephant, 35 beats/min
29. 32 tickets per h 31. I 33. 6 35. 10 37. 56 39. 11
1
7
3
Pages 299–300 Lesson 7-3
1. Compare the cross products. If they are equal, the ratios
are equivalent.
3. 2; The other ratios equal 2. 5. no 7. 2
9
3
9. 21 11. 9 13. 29.4 15. 62 or about 6.7 oz 17. no
3
19. no 21. no 23. 8 kittens 25. 6 27. 6 29. 75 31. 2
33. 63 35. 22.5 37. 1,040 39. 13.5 41. 13 x; 87%
100
15
43. 4 c 45. 210 words 47. Sample answers: 1 and 36;
7
5
3
2 and 18; 4 and 9 49. 64 51. 53. 55. 56 57. 1
40
9
5
59. 52
Pages 306–308 Lesson 7-4
3. 200 km 5. 3.5 cm 7. 1 9. 255 km 11. 1,205 km
90
13. 6 in.; 1 15. 12 cm; 1 17. 4 in. 19. 3 in.
240
300
4
21. 1 23. 123 mi 25. 1 27. 1 in. 70 mi 29. D
48
16
12
31. 40 mi/h 33. $1.55 per lb 35. 11 37. 23
40
75
Pages 314–315 Lesson 7-5
1. Sample answer: Write a proportion using the given
n
100
fraction and . Then solve for n and add a %. Or, write the
fraction as a decimal. Then multiply by 100 and add a %.
3. Sample answer: It is easier to compare percents than it is
3
16
3
7. 2
9. 62.5% 11. 36.36%
Chapter 7 Ratios and Proportions
to compare fractions. 5. Page 287 Chapter 7 Getting Started
1
3
3
13. 7 15. 3
17. 2
19. 1 21. 13 23. 6
25. 55%
40
500
80
3
16
80
27. 37.5% 29. 96.67% 31. 71.43% 33. 1.25% 35. 41.67%
6
37. 48% 39. less than; 2
20.8% 41. D 43. 67.5 ft
9
9
1. ratio 3. 48.1 5. 7.4 7. 1 9. 1
11. 3
13. 3
5
15. 24 17. 51 19. 6 21. 11
2
23
50
50
125
2
42.5
45. 12 47. 17.5 49. 9 51. Pages 290–291 Lesson 7-1
1. 8, 8 : 15, 8 to 15 3. 3 to 2; The other ratios equal 2.
15
5. 4 7. 11 9. 4 11. yes; 9 3 13. 21 15. 1
3
15
15
4
3
5
23
5
17. 15 19. 11 21. 3 23. 5 25. 3 27. yes; 9 3
30
16
15
7
1
8
5
6
8
8
3
and 29. yes; 8 : 21 and 16 : 42 31. yes;
10
21
21
5
1
4
4
2
6 lb : 72 oz and 2 lb : 24 oz 33. 35. no 37. ;
13
3
3
5
7
; No, the ratio is greater for the dollar bill. 39. 4; The
3
ratios of successive terms increase by 1. 41. G 43. 26 ft;
36 ft2 45. 19 cm; 15 cm2 47. 4.9 49. $0.31
Pages 294–295 Lesson 7-2
30 mi
15 mi
3. a; Sample answer:
1. Sample answer: 2h
h
20 ft
40 ft
→ represents an increase in speed since
1 min
1 min
40 ft/min 20 ft/min. If the same distance is covered in a
longer period of time, then the rate is decreased. Consider
20 ft
20 ft
20 ft
→ . Since 10 ft/min, the rate is
1 min
2 min
2 min
decreased.
5. 60 words per min 7. $0.98 per can
632 Selected Answers
40
100
100
3
Pages 317–318 Lesson 7-6
1. 170%; 1.7 3. 631; It is the only number not equivalent
2
1
2
to 63%. 5. 2; 2
7. 0.0015; 3 9. 0.15% 11. 0.05%
2,000
1
13. 3.5; 31 15. 6; 6 17. 0.006; 3 19. 0.0055; 1
500
2
2,000
21. 2.6; 23 23. 0.0005; 1 25. 850% 27. 0.9%
2,000
5
29. 264% 31. 0.34% 33. 350% 35. 0.4% 37. 162.5%
39. 0.003; 3 41. about 0.595% 43. A 45. 3 47. 1
1,000
40
16
49. 6 in. 51. 0.065 53. 0.123
Pages 320–321 Lesson 7-7
0.5
3. Sample answer: Find the number of people
1. x 22
100
surveyed who use a white erasable markerboard to record
information during a meeting; 525 people. 5. 110.5 7. 0.1
9. 65 11. $160 13. 51.3 15. 12.5 17. 0.4 19. 0.6
2
21. x 2
; about 384 students 23. $300.96 25. B
1,746
100
27. 750% 29. 0.04% 31. 73.33% 33. 20 35. 4.5
Page 325 Lesson 7-8
1. b 3. 36% 5. 0.7 7. 25% 9. 8.6 11. 375 13. 7.5%
15. 4.1 17. 30 19. 0.04 21. 60% 23. 20% of 500, 20% of
100, 5% of 100; Sample answer: If the percent is the same
but the base is greater, then the part is greater. If the base is
the same but the percent is greater, then the part is greater.
25. 65% 27. 31.5
Pages 326–328 Chapter 7 Study Guide and Review
1
1. e 3. a 5. c 7. g 9. d 11. 4 13. 2 15. yes; 3 2
3
3
5
Pages 352–353 Lesson 8-4
1. Sample answer: The sale price of a T-shirt is $14. If the shirt
originally cost $25, what is the percent discount? Answer:
44% decrease 3. Jada; Miranda did not write a ratio
comparing the change to the original amount. 5. 19% inc.
7. 25% inc. 9. 73% inc. 11. 20% inc. 13. 50% dec.
15. 71% dec. 17. 30% dec. 19. 18% inc. 21. 1% inc.
23. 100% 25. 21% inc. 27. 1.2% increase 29. 41%
31. 16 to 17; 72% 33. C 35. 660 students 37. n 0.21 62; 13.0 39. 0.055 41. 0.0675
35
17. yes; 27:15 9 and 9:5 9 19. $4.75 per lb 21. $9.50
49. 0.95% 51. 34.1 53. 0.6 55. 0.3 57. 130.2
Pages 356–357 Lesson 8-5
1. $6.86 3. Sample answer: The regular price of a CD is
$17.95. The total cost is $18.98. 5. $1,338.75 7. $47.33
9. 9% 11. $46.40 13. $103.95 15. $2.58 17. $26.53
19. $26.07 21. 75% 23. 23% 25. $131.66 27. $600.88
29. $366.56 31. $57.60 33. B 35. 50% inc. 37. 73% inc.
39. 292.3 41. 99
Chapter 8 Applying Percent
1. Sample answer: Write the interest rate as a decimal and
per h
5
23. 31 laps per min
2
5
25. 6 27. 12.5 29. 9
7
31. 94 cm 33. 27 cm 35. 5.2 cm 37. 2
39. 12.5%
500
41. 17.5% 43. 0.0075; 3 45. 0.005; 1 47. 475%
400
200
Pages 359–360 Lesson 8-6
Page 333 Chapter 8 Getting Started
1. true 3. 48 5. 1,512 7. 1.75 9. 0.8 11. 130 13. 216.7
15. 0.4 17. 0.075 19. 39.5%
Pages 336–337 Lesson 8-1
write the months in years. Then multiply 500 0.06 1.5.
3. $38.40 5. $1,417.50 7. $23.20 9. $21.38 11. $330
13. $8.54 15. $45.31 17. $26.37 19. $210 21. 4%
23. $627, $655.22, $684.70 25. G 27. 29% inc. 29. 35% dec.
1. Sample answer: Find 1 140 or find 10% of 140 and
5
multiply by 2; both estimates equal 28. 3. Ian; Mandy
Pages 362–364 Chapter 8 Study Guide and Review
1. true 3. false; original 5. true 7. true 9. true
11–17. Sample answers are given. 11. 1 80 20 13. 3 incorrectly changed 1.5% to 1.5, which is 150%.
40 30 15. 0.1 80 8 17. 0.1 1,000 100 and
Pages 342–343 Lesson 8-2
1. missing base 3. n 0.88 300; 264 5. 3 0.12 n; 25
7. 29.7%; 0.297 9. n 0.53 470; 249.1 11. 26 n 96;
27.1% 13. 17 0.40 n; 42.5 15. 30 n 64; 46.9%
17. 1.45 0.33 n; 4.4 19. n 0.752 600; 451.2
21. 14 0.028 n; 500 23. 230 n 200; 115% 25. 6%
27. 42% 29. 28% 31. Sample answer: If the percent is
less than 100%, then the part is less than the number; if the
percent equals 100%, then the part equals the number; if the
percent is greater than 100%, then the part is greater than
3
50 15
10
33. I 35. Sample answer:
37. 1,312.5 mg 39. 18 41. 16.7% 43. 31.6
the number.
4
1
10
5 100 500 19. Sample answer: 300 30
households 21. 39 0.65 n; 60 23. n 0.07 92; 6.4
25. about 208 27. 48% inc. 29. 20% dec. 31. about 12%
increase 33. $178.50 35. $26.80 37. 14% 39. 10%
41. $47.50 43. $412.50 45. $121.50 47. $1,360
Chapter 9 Probability
Page 369 Chapter 9 Getting Started
1. simplest 3. 105 5. 52 7. 160 9. 360
15. 2
3
13. 5,040
11. 336
17. simplified 19. 5 21. 4
Pages 372–373 Lesson 9-1
1. Sample answer: Since 0.7 is greater than 0.5 and less than
0.75, the event is likely to happen. 3. 0.65, 0.55 are
probabilities that are not complementary because 0.65 0.55 1. The other sets of probability are complementary.
5. 1 7. 3 9. 75% 11. 4 13. 1 15. 1 17. Sample
4
5
5
10
2
answer: The complementary event is the chance of no rain.
Its probability is 63%.
19. 7 21. 1 23. 7 25. 0
10
10
2
27. 1 29. 9 31. A 33. $60 35. about 2.5 billion
11
10
37. 0.45 39. 1.7 41. simplified 43. 3
8
Pages 346–347 Lesson 8-3
1. Sample answer: Randomly select a part of the group to
get a sample. Find their preferences, and use the results to
find the percent of the total group. 3. 8.96 million
5. 1,396 students 7. about 110 owners 9. 6,500 teens
11. 800,000 people 13. 54 0.72 n; 75 15. 0.3 17. 4.5
Pages 376–377 Lesson 9-2
1. Sample game: Each player tosses a coin 10 times. If it
comes up heads, player 1 receives 1 point. If it comes up
tails, player 2 receives 1 point. The player with the most
points at the end of 10 tosses wins.
Selected Answers
633
Selected Answers
5–31. Sample answers are given. 5. 1 160 80 7. 3 2
4
20 15 9. 0.1 400 40 and 2 40 80 11. (1 70) 12 70 105 13. 0.01 80 0.8 and 12 0.8 0.4
15. 1 400 100 17. 3 280 210 19. 2 15 10
4
4
3
21. 0.1 40 4 and 6 4 24 23. 0.1 80 8 and 8 8 64
25. 0.1 120 12 and 3 12 36 27. (1 54) 1 54 72
3
29. 4 12 48 31. 0.01 400 4 and 1 4 2
2
33. Sample answer: 0.01 3,000 30 lb 35. Sample
3
answer: Find 1% of a number, then multiply by . 37. H
8
39. 64.8 41. 157.1 43. 50 45. 357.1
4
3. 1st
2nd
Spin
Sample
Space
A
A
B
C
D
B
A
B
C
D
AA
AB
AC
AD
BA
BB
BC
BD
C
A
B
C
D
CA
CB
CC
CD
D
A
B
C
D
DA
DB
DC
DD
Spin
7. Coin
H
T
5. 1
16
H1
H2
H3
H4
H5
H6
1
2
3
4
5
6
T1
T2
T3
T4
T5
T6
H
T
H
T
T
8 outcomes
15. Child 1 Child 2 Child 3
B
G
B
G
G
Selected Answers
1
2
3
4
5
17. 1 19. 4 or 1 21. P(Player 1) 6, or 3;
8
31. 176 33. 524
Pages 379–380 Lesson 9-3
1. Sample answer: Multiply the number of ways each event
can occur to find the total number of outcomes. 3. Sample
Sample
Space
red
white
blue
red
white
blue
red
white
blue
red
white
blue
red
white
blue
1 red
1 white
1 blue
2 red
2 white
2 blue
3 red
3 white
3 blue
4 red
4 white
4 blue
5 red
5 white
5 blue
P
A
C
E
answer: Yes, a pair of events can have a number of
outcomes that is prime. For example, 11 different pairs of
shoes can come in 1 color. 11 1, or 11 outcomes 5. 8
7. 60 9. 24 11. 12 13. 217 15. No; the number of
selections is 350, which is less than 365. 17. 2 19. 8
21. B 23. 1 25. 3 27. 6 29. 120
2
4
Pages 382–383 Lesson 9-4
1. Sample answer: Five factorial has extra factors of 2 and 1,
5! 5 4 3 2 1. 3. 6 5. 120 7. 120 9. 144 11. 4,320
13. 2,880 15. 3,024 17. 11,880 19. 1 21. 24 23. 96
7
25. 10 27. 2.5
Pages 389–390 Lesson 9-5
1. Sample answer: The order of the numbers is important in
a lock. 3. Francisca; Allison found the number of
15 outcomes
S
24
6
8
4
2
1
P(Player 2) , or ; Player 2 does not have an equal
8
4
2
13
chance of winning. 23. C 25. 27. 29. 154
5
20
Color
11. Space
Sample
Space
BBB
BBG
BGB
BGG
GBB
GBG
GGB
GGG
B
G
B
G
B
G
B
G
B
12 outcomes
9. Number
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
H
T
H
T
H
T
H
T
H
Number Sample
Cube
Space
1
2
3
4
5
6
Sample
Space
13. Quarter Dime Nickel
Math
Sample
Space
M
T
H
M
T
H
M
T
H
M
T
H
M
T
H
SM
ST
SH
PM
PT
PH
AM
AT
AH
CM
CT
CH
EM
ET
EH
15 outcomes
634 Selected Answers
permutations of three people chosen from a group of seven.
5. permutation; 720 ways 7. 10 9. 36 11. combination;
210 13. permutation; 6 ways 15. permutation; 5,040
19. A 21. 120 signals 23. 0 1 1 25. 1 20 10
2
27. 1 29. 1 31. 1
2
8
2
Pages 395–396 Lesson 9-6
1. Sample answer: Both probabilities are ratios that
compare the number of favorable outcomes to the total
number of possible outcomes. Experimental probability is
the result of an experiment. Theoretical probability is what
5. 3 7. 5 9. 9 11. 150
16
10
6
17. 120 19. 1 : 5 21. 2 : 4 or 1 : 2 23. 1/5
14
25
is expected to happen. 3. 13. 14 15. 9
25
25. 720 27. 3
8
29. 7
8
Pages 399–401 Lesson 9-7
1. Sample answer: Events are independent when neither
outcome affects the other. Events are dependent when the
outcome of the first event affects the outcome of the second
event. 3. Shane; Kimi treated spinning the spinner twice
as dependent events.
5. 5
14
7. 1
8
9. 2
87
11. 1
6
15. independent 17. 0.03 19. 13.5% 21. 0.096
25. B 27. 1 29. 27 31. 24
9. acute 11. obtuse 13.
obtuse
147˚
15.
obtuse
3
13. 1
51
23. 1
2
17.
right
99˚
19. 150° 21. Sample answer: acute angles: between their
legs and the front of their skis; obtuse angles: between their
Pages 402–404 Chapter 9 Study Guide and Review
1. sample space 3. experimental 5. permutation
7. random 9. is not
17. Number
Cube
Coin
11. 1 13. 1
2
4
Sample
Space
H
1
2
3
4
5
6
15. 1
2
T
31. 90 33. 0.32
3. Favorite Shades of Blue
5. grades 1–8
1H
T
1T
H
2H
T
2T
H
3H
T
3T
H
4H
T
4T
H
5H
T
5T
H
6H
T
6T
Navy
48%
Other
18%
Sky/
Light Blue
23%
Aquamarine
12%
7. NYC Commuters
Other
14%
Card
Sample
Space
1
H1
21. 36 23. 20 25. 24
27. 1,680 29. 720 31. 60
33. 126 groups 35. 45
2
H2
ways
3
H3
37. 3 39. 1
4
H4
5
H5
6
H6
7
H7
1
T1
2
T2
3
T3
4
T4
5
T5
6
T6
7
T7
25
5
1
1
41. 43. 15
4
Driving
Alone
24%
Public
Transit
53%
11.
9. Sample answer: A greater
percent of commuters in Los
Angeles drive alone, while in
New York, a greater percent
use public transportation. A
greater percent of people
carpool in Los Angeles than in
New York.
Carpool
9%
U.S. Regions
Northeast
19%
13. yes: 262.8°; no: 90°; not
sure: 7.2° 17. A 19. acute
21. right
23. 72 25. 141
West
22%
South
36%
Midwest
23%
14 outcomes
Pages 424–425 Lesson 10-3
1. Sample answer: m1 m2 90°
Chapter 10 Geometry
Page 411 Chapter 10 Getting Started
1. ratio 3. 306 5. 0.15 7. 0.11 9. 53 11. 131
15. 90 17. 54 19. 12 21. 24 23. 8
13. 92
Pages 414–415 Lesson 10-1
1. Sample answer: An angle with a measure of exactly 90°,
which is indicated by a right angle symbol. 3. obtuse
5.
right 7.
acute
11˚
1
2
3. supplementary 5. complementary 7. 75 9. 96°
11. supplementary 13. supplementary 15. complementary
17. 69 19. 42 21. 90 23. Public Restroom and
Subway/train 25. never; Sample answer: One straight
angle measures 180°. 27. sometimes; Sample answer:
Adjacent angles can have the same or different angle
measure. 29. mE 39°, mF 51º 31. C 33. acute
35. 0.53 37. 4.31 39. 68 41. 101
Selected Answers
635
Selected Answers
H
29. 7
10
Pages 420–421 Lesson 10-2
12 outcomes
19. Coin
1
4
legs and the back of their skis 23. 48 times 25. A 27. Pages 430–431 Lesson 10-4
1. An obtuse triangle has one obtuse angle and two acute
angles. 3. 44°; acute 5. acute, equilateral 7. right,
isosceles 9. 60°; right 11. 65°; acute 13. 37°; right
15. right 17. 17° 19. obtuse, scalene 21. right, scalene
23. acute, isosceles 27. B 29. supplementary
31. neither 33. 60
Pages 453–454 Lesson 10-8
1. Sample answer:
y
A
B
x
O
A'
C
B'
Pages 435–437 Lesson 10-5
1. Sample answer: A square has all the properties of a
rectangle. However, a rectangle does not have four
congruent sides, which is a property of a square. 3. Justin;
Venus did not mention the 4 congruent sides of a square.
5. quadrilateral 7. 100° 9. 35° 11. trapezoid
13. rhombus 15. parallelogram 17. sometimes; Sample
answer: A parallelogram can also have angles with different
degree measures. 19. 56° 21. 67° 23. 90° 25. rhombus,
rectangle 29. Yes; A square is a rhombus and a rectangle.
31. Yes; One pair of opposite sides are
parallel, while the other pair of opposite
sides are congruent. This figure is called
an isosceles trapezoid.
C'
3.
y
A
A'
C
B
C'
O
x
B'
33. B 35. obtuse, isosceles 37. acute, equilateral
39. $3.78 41. 85 43. 41.7 45. 400 mi 47. 3 49. 7
5. D
(7, 0), E
(4, 2), F
(8, 4), G
(12, 3)
y
Pages 442–443 Lesson 10-6
1. Corresponding sides are proportional and corresponding
angles are congruent. 3. 35 m 5. 48 ft 7. 12 m
F
Selected Answers
9. 10.2 mm 11. yes; 6 11 13. about 42 ft 15. 120 m
18
33
17. 1 : 16 19. 90 ft 21. trapezoid 23. 69° 25. 90
27. 120
Pages 448–450 Lesson 10-7
1. the point where vertices meet: 45° 45° 135° 135° 360° 3. All of the angles of a rhombus do not have the
same measure. 5. not a polygon, it is not closed 7. No;
140 does not go into 360 evenly. 9. regular octagon
11. not a polygon; the figure has a curved side 13. regular
decagon 15. 140° 17. 162° 19. 135°, 45°, 45°
21. hexagon and triangle 23. octagons and squares
O
F'
D
x
D'
E
E'
G
7.
G'
y
27. 371 yd
2
25. 43.2 cm
31. Yes; the sum of the
measures of angles of
any triangle is 180°.
L'
M'
K' L
N'
M
x
O
K
N
7
33. I 35. trapezoid 37. 32 servings 39. 31 41. 43
9. P
(8, 1), Q
(3, 3), and R
(11, 5)
42–45.
R'
6
y
A(2, 3)
B (4, 3)
y
R
x
O
D (4, 1)
40
C (2, 1)
P
O
x
P'
Q
Q'
636 Selected Answers
11. P
(0, 9), Q
(5, 11),
11. D
(3, 6), E
(2, 3), 13. Q
(2, 5), R
(4, 5),
and R
(3, 3)
F
(2, 2), and G
(4, 9)
13. Sample answer: there are
y
R
two main images, the
brown horseman and the
yellow horseman. Both
main horsemen are
translated to different
parts of the picture. These
translations allow for
the tessellation of both
horsemen. 15. Sample
answer: X
Y
Z
was
translated 5 units left
and 2 units down.
P
x
O
Q
R'
P'
y
and S
(2, 3)
y
S'
G
S
D
x
O
E'
R
R'
F
Q'
Q
x
O
F'
E
D'
Q'
G'
17.
15. vertical line that divides the building in half and a line
at the top of the water from the reflection in the water
17. All four flags have line symmetry.
19. C 21. octagon 23. yes 25. no
19. J(7, 4), K(7, 1), and L(2, 2) 21. 2 23. No, the
measure of one angle is 144°, which is not a factor of 360°.
25. Sample answer: 0 1 0 27. 6n 18; n 3
2
1.
3. no
y
C
C'
Pages 462–464 Chapter 10 Study Guide and Review
1. c 3. f 5. a 7. right 9. acute
11. Favorite Soft Drinks
x
O
B
Cola
36%
B'
A
Diet Cola
28%
A'
Root Beer
15%
5. A
(5, 8), B
(1, 2), and C
(6, 4)
y
7. yes
A
Other
14%
Lemon Lime
7%
13. 79 15. obtuse, scalene 17. 139° 19. parallelogram
21. 10 cm 23. heptagon 25. 156°
27. P
(8, 3), Q
(2, 4), and R
(3, 5)
y
R
C
R'
B
x
O
B'
9. yes
x
O
C'
P
Q
P'
Q'
A'
Selected Answers
637
Selected Answers
Pages 458–459 Lesson 10-9
29. P
(4, 9), Q
(2, 10),
43. when the side length is between 0 and 4; when the side
length is 4 45. 55 m2 greater; The area of an 8-m-by-8-m
square is 64 m2. 47. 1,024 cm2
y
49. A’(3, 6), B’(4, 3), C’(1, 2)
y
R
and R
(1, 1)
A'
A
O
R'
B'
x
B
P
Q
C'
C
O
x
51. 53. Q'
P'
31. A
(1, 3), B
(2, 1),
Pages 476–477 Lesson 11-2
1. It cannot be written as a fraction. 3. 51 is between the
perfect squares 49 and 64. Since 51 is closer to 49 than to 64,
51 is closer to 49, or 7. 5. 10 7. 12 9. 7.1 11. 21.5
13. 3 15. 6 17. 9 19. 12 21. 3.9 23. 6.6 25. 12.6
y
C
(5, 1), D
(4, 3)
D'
A'
A
D
4
27. 25.4 29. , 1
, 87
, 10 31. 3.4 35. D 37. 13
3
39. 28 41. 74 43. 16
x
O
C'
B'
B
C
Chapter 11 Geometry: Measuring
Two-Dimensional Figures
15. 112
17. 1
6
13. 60
19. 1
2
Pages 472–473 Lesson 11-1
1. Both involve multiplying a number by itself. 3. 116;
There are not two equal factors whose product is 116.
5. 100 7. 900 9. 11 11. 23 13. 25 15. 49 17. 256
19. 324 21. 2 23. 12 25. 27 27. 35 29. 484 31. 10,
10 33. 1,312 35. 202,788 mi2 37. Yes; for example,
a garden that measures 30 ft by 30 ft has the same perimeter,
3
5
but its area is 900 ft2, which is greater than 500 ft2. 39. 40–41.
Area/Perimeter
Selected Answers
Page 469 Chapter 11 Getting Started
1. true 3. false; right 5. 7. 9. 64 11. 36
26
24
22
20
18
16
14
12
10
8
6
4
2
0
Squares
Pages 481–482 Lesson 11-3
1. the lengths of both legs or the length of one leg and the
hypotenuse 3. Devin; the hypotenuse is 16 cm, not x cm
as Jamie assumed. 5. 24.5 in. 7. yes 9. 35 in.
11. 8.0 cm 13. 25 in. 15. 23.7 m 17. yes 19. no
21. 19.1 ft 23. about 10.4 in. 25. 11.3 in. 27. 12 29. 17
31. 213.6 33. 28
Pages 484–485 Lesson 11-4
1. b 6, h 3 3. False; if the base and height are each
doubled, then the area is 2b 2h 4bh, or 4 times greater.
5. 1.1 m2 7. 64 in2 9. 312.5 mm2 11. 428.4 mm2
13. 207 in2 15. 180 ft2 or 20 yd2 17. 1,575 yd2
19. 56.9 cm2 21. 15 in. 23. C 25. no 27. no 29. 84
31. 19.5
Pages 491–492 Lesson 11-5
1. Sample answer: 1(10)(20 30) 250 in2 3. The area of a
2
parallelogram is twice the area of a triangle with the same
base and height. 5. 105.6 m2 7. $1,417.50 9. 38.4 mm2
11. 112 m2 13. 161.5 ft2 15. 168 in2 or 1.2 ft2
17. Sample answer: 28 in2 19. Sample answer: 10 ft2
2 ft
y
2 ft
7 in.
5 ft
8 in.
Perimeter
21. about 1,872 mi2 23. 382.4 cm2 25. 3.7 in2 27. 12.4 ft
29. acute 31. obtuse 33. 40.8 35. 804.2
Pages 494–495 Lesson 11-6
Area
3. 2; It is about 2 3, or
1. Sample answer:
1 unit
x
1 2 3 4 5 6 7 8
Side Length
638 Selected Answers
6; 7 is less than 9,
or 3; 1.52 is less than 22,
or 4. 5. 254.5 in2
7. 55.4 ft2 9. 452.4 mm2
11. 201.1 cm2 13. 95.0 ft2 15. 227.0 cm2 17. 113.1 ft2
19. 7.1 cm2 21. 63.6 in2 23. 29.0 m2 25. 43.2 ft2
27. 1 : 2; 1 : 4; No, 1 1. 29. 5.9 in2 31. Never; the area is
2
4
quadrupled because A (2r)2, or A 4r2. 33. 3.7 cm
35. 120 in2 37. 100.1 m2 39. 113.04 41. 150.5
11. top
Pages 499–500 Lesson 11-7
1. Sample answer: Separate it into a rectangle and a
triangle, find the area of each, and add. 3. 112 m2
5. 145 m2 7. 58.6 in2 9. 257.1 mm2 11. 510.3 ft2
13. Sample answer: Add the areas of a trapezoid and a
small rectangle. 15. 44 in2 17. 69.4 cm2 19. 176.7 in2
13.
15.
17.
19. cylinder
21. 1 23. 1
6
3
side
front
Pages 502–503 Lesson 11-8
1. Sample answer: The probability of an event occurring is
the ratio of the shaded area (the number of ways an event
can occur) to the entire area (the number of possible
outcomes). 3. 31.3% 5. 16% 7. 34.3% 9. 23.1%
11. 73.8% 13. 21.5% 15. 4 or 16% 17. 3/10
25
19. 102.1 m2
21. Sample answer:
Pages 504–506 Chapter 11 Study Guide and Review
1. equal to 3. 625 5. hypotenuse 7. 36 9. 529 11. 16
13. 2 15. 7 17. 4 19. 7.8 21. 21.1 23. 13 mm
25. 7.8 ft 27. 13.3 m 29. 99 cm2 31. 135 cm2 33. 36 ft2
35. 187.7 cm2 37. 408.3 in2 39. 1,256.6 ft2 41. 60 m2
43. 182.8 in2 45. 25%
top
side
front
23. Sample answer:
Chapter 12 Geometry: Measuring
Three-Dimensional Figures
13. 32 15. 27
17. 11
14
11. 24
25. G 27. 96 ft2 29. 112.8 in2 31. 22 33. 68
19. 855.3 cm2 21. 113.1 ft2
Pages 515–517 Lesson 12-1
3–17. Sample drawings are given.
3.
top
side
front
5.
Pages 521–522 Lesson 12-2
1. yd3 3. Ling; the width of Box B is half that of Box A.
All three dimensions have to be considered when
comparing volumes. 5. 9.5 cm3 7. 36,000 in3
9. 960 in3 11. 236.3 cm3 13. 27 cm3 15. 2,425.5 ft3
17. 1,000,000 cm3 19. C
21. Sample answer:
top
side
front
23. 18 25. 72
7. top
side
front
Pages 525–527 Lesson 12-3
1. Sample answer:
9. top
side
front
10 cm
10 cm
3. 141.4 in3 5. 617.7 ft3 7. 241.5 m3 9. 402.1 in3
11. 167.1 cm3 13. 1.3 m3 15. 2,770.9 mm3 17. 603.2 ft3
19. 603.2 cm3 21. 56.5 in3 25. 1 to 4 27. about 41 ft
29. B 31. 152.88 m3
Selected Answers
639
Selected Answers
Page 511 Chapter 12 Getting Started
1. circumference 3. 90 5. 35 7. 24.1 9. 187.2
33. Sample answer:
35. 572 m2 37. 174
39. 43.5
Pages 533–535 Lesson 12-4
1. Find the sum of the areas of the faces. 3. Surface area
measures the area of the faces, and area is measured in
square units. 5. 183.4 cm2 7. 314 cm2 9. 833.1 mm2
11. 125.4 in2 or 1253 in2 13. 7 m2 15. 1,531.9 ft3
8
17. surface area 6x2 19. 12 cm2 21. 5 cm long,
4 cm wide, 5 cm high 25. D 27. 7 29. 72.9 cm3
31. 63 in3 33. 804.2 ft2 35. 145.3 yd2
Pages 539–541 Lesson 12-5
3. 88.0 mm2 5. 653.5 m2 7. 1,215.8 m2 9. 183.8 ft2
Pages 543–545 Lesson 12-6
1. Inches, because it is the smallest unit of measure.
3. 8.6 mi, because it has 2 significant digits. The other
measures have 3 significant digits. 5. Sample answer:
15.65 cm 7. Sample answer: The measure is precise to the
nearest 0.01 second. 9. 0.1 cm 11. 2 lb 13. Sample
answer: 13.6 ft 15. Sample answer: 9.25 cm 17. Sample
answer: 2.45 mL 19. Neither; they are both given to the
nearest tenth of a mile. 25. B 27. 502.7 yd2 29. 748.0 in2
31. 45 33. 24
Pages 546–548 Chapter 12 Study Guide and Review
1. rectangular prism 3. cubic 5. cylinder 7. smaller
9. Sample answer:
top
side
front
4 2
11. 1,120.0 in2 or 1,1194
in 13. 471.2 m2 15. 172.8 in2
45
17. Sample answer: prism: volume 275 in3, surface
Selected Answers
area 237.5 in2; cylinder: volume 274.3 in3, surface
area 211.1 in2; Both containers hold about the same
amount of popcorn. However, the cylinder uses less
cardboard. So, the cylinder would be a more cost-effective
container. 19. Sample answer: The areas of both curved
surfaces are the same. However, the areas of the top and
bottom of cylinder A are greater than the areas of the top
and bottom of cylinder B because it has a greater
circumference (11 in.).
21. Sample answer:
23. G 25. 112 cm2
27. 326.7 in3
29. 14.0 31. 5.4
640 Selected Answers
11. Sample answer:
13. 639.6 in3 or 6395 in3 15. 4,042.4 m3 17. 196.3 in3
8
19. 531.3 m2 21. 427.3 mm2 23. 69.1 in2 25. 5 min
27. Sample answer: 0.8 cm