Download Complete Answers Chapter 1

Complete Answers Chapter 1
Section 1.1 Practice Problems
1. No. The whole numbers are only the elements in the set 0,1, 2,3... . For example, 4 is a real number but it is
not a whole number. 2. No. For example
3.
5.
3
is a rational number but it is not a whole number.
4
4. 8
Whole
numbers
X
6
5

9
Integers
Rational
numbers
X
X
Irrational
numbers
Real numbers
X
X
X

X
X
0.8
X
X
43
X
X
X
4
X
X
5
3
11
1
3
6.
7.
8.
9.
10. 15 11. 19 12. 7 13. 25 14. 108 15. 34 16. 405 17. 36 18. 3
7
17
3
10
19. 4 20. 0 21. 81 22. 0 23. undefined 24. C 25. B 26. A 27. A 28. C 29. B
Section 1.1 Vocabulary Practice
1. E 2. J 3. I 4. A 5. G 6. H 7. D 8. F 9. C 10. B
Section 1.1 Exercises
1. 0,1, 2,3... 3. ...  3.  2, 1,0,1, 2,3, 4... 5b. yes 6a. no
7.
9.
8.
6
0

0.75
18
Whole
numbers
X
X
X
X
Rational
numbers
X
X
X
X
X
X
X
X
X
X
X
X
Integers
1
3
Irrational
numbers
Real numbers
X
10.
8

9
10
0.13
0
7

8
Whole
numbers
Integers
X
Rational
numbers
X
Irrational
numbers
X
X
X
Real numbers
X
X
X
X
X
X
X
X
X
X
1
13. 11 14. 18 15. 4 16. 4 17. 1 18. 1 19. 18 20. 13 21. 18 22. 6 23.  24. 1 25. 4 26. 4
1
1

1
5
1
49
5
27. 8 28. 10 29.
30.
31.
32.
33.
34.
35.  36.
37. 4 38. 6 39. 10

1
36
36
16
3
3
16
40. 16 41. 4 42.  43. 1 44. 1 45. 40 46. 48 47. 51 48. 76 49. 18 50. 40 51. 121 52. 339
3
5
1
1
3
2
15
53. 1 54. 1 55. undefined 56. undefined 57.
58.
59.  60.
61.  62.  63.
4
4
20
50
7
3
7
46
64.
65. 0 66. 0 67. 9 68. 16 69. 42 70. 40 75. A 76. C 77. A 78. A 79. B 80. A 81. C
9
87
82. B 83. B 84. C 85. A 86. B 87. 
88. 13 89. 15 90. 5 91b. 95 92b. 40 93b. commutative
5
94b. 13 95. 1508 96. 334 97. 14, 094 98. 276
Section 1.2 Practice Problems
1a. 2 1b.
2a. 3 2b.
3. b 4. 1w 5. 8m  18 p  4 6. 
1
1
5
p
7.
p

2
3
5
5
a  19 9. 15xy 10. 18ab 11. 3 x  12. 9b 13. x  14. 12a  17b 15. 1 z  37 16. 40x  0
4
2


17. 8x  48 y  0 18. 13x   19.  x  11x  7 20. 5a  4a  7 21. y  53 22. k  42 23. z  66
8. 
Section 1.2 Vocabulary Practice
1. I 2. H 3. C 4. A 5. B 6. F 7. G 8. D 9. E 10. J
Section 1.2 Exercises
1a. 3 1b. 8, 2 1c. 5 1d. x, y 2a. 3 2b. 7, 9 2c. 3 2d. x, y 3a. 2 3b. 8, 6 3c. no constant 3d. a, b 4a. 2
1
3

7
4b. 12, 4 4c. no constant 4d. h, k 5. k 6. 34u 7. 15b 8. 10n 9.  m 
10.  c 

8
5
10
47
8
43

11.
12.
u
r  13. 10a  4b  1 14. 11c 13d  3 15. c  1w  5 16. x  1 z  1
45
11
30
7
4
1
3
1
17
1
1
1
3
6
4

8
17
17.  p 
18.  a 
19.
22.
23.  u  y
c  d 20.
x  y 21.
x
p
5

0
10
40
6
3
5
5
3

3

5
39
5
24.  h  k 25.  x  3x  1 26. 17 z   4 z  5 27. c  9c  19 28. a   11a  7 29. 3k   8k  
4

30. 3h  1h  4 31. 5x  x  6 32. 5 p   p  3 33. B 34. B 35. A 36. A 37. C 38. C 39. C 40. C
41. 40yz 42. 15uw 43. 15x  44. 8h 45. 1ab 46. 16cd 47. 7m 48. 30v 49. 5x  5 y
50. 7 x  18 y 51. 350a  24b  47 52. 13h  330k  6 53. 6 x  5 54. 12x  12 55. 6a  0 56. 8c  1
57. a  5 58. c  9 59.  x  1 60.  z  4 61. 22x  60 62. 36 x  28 63. 2x  12 64. 6 x  21
39
3
25
5
3
13
65. 4w  1 66. 8d  1 67. 15w  9 68. 25k  20 69.  a 
70.  b  71.
c d
2
8
20
24
2
8
7
31
8
32

7
4
5
72.
75.
h  k 73. 4 x  74. 9 x 
p  w 76.
f  g 77. 8z  9 78. 15h  13
24
45
3
5
15
5
63
18
51
28
142
141
151 131
79. 3c 
80. 2d 
81.
82.
83. b  23 84. c  32 85. d  1 86. f  1
z
z
4
5
35
35
24
72
1
3
87. x  13 88. z  7 89. a 
90. b 
91b. 6 x  28 92b.  x  5 93b. 26 x  7 94b. 15x  17 y
1
16
97. undefined
2
Section 1.3 Practice Problems
For these application problems, the given answer is not in a complete sentence. However, students should report
all solutions using complete sentences. Follow your instructor’s guidelines for showing your work.
1. $295.93
2. 8.2 billion metric tons
3. 720 false alarms
Section 1.3 Vocabulary Practice
1. B 2. A 3. B 4. A 5. B 6. B 7. B 8. A 9. B 10. A
Section 1.3 Exercises
For these application problems, the given answer is not in a complete sentence. However, students should report
all solutions using complete sentences. Follow your instructor’s guidelines for showing your work.
1. $19.75 2. $65 3. $225,700 4. $225. 5. $7650. 6. $7200 7. 13 hours 8. 16 hours 9. 100 text messages
10. 5 megabytes 11. $62.40 12. $393 13. 41.4 tons 14. $22,070 15. $22.8 billion 16. $5.5 million
17. $9,300 18. $1073 per square foot 19. 1.30% 20. 126 employees 21. $41,239.50 22. 60 weddings
23. $4.90 per carton 24. $11.50 per carton 25. $31.50 26. $984 27. $45 million 28. $3.85 million per mile
29. 1,250,000 acres 30. $650,750,000 31. 47018 acres 32. 18,7 billion packs 33. $80 34. 2274.76
35. 720 non-fatal injuries 36. 4.38 million liters 37. 45 additional hours 38. 547,500 women 39. $4889
40. 7.3 million units 41. $200.6 billion 42. $1220.7 billion 43. 15.1% 44. 12.5% 45. 609,000 students
46. 289,000 students 47. 9,477,000 children 48. 4,752,000 children 49b. $3.11 billion 50b. 9,855,000 pounds
51b. $1350 52b. 41% 53. 1 and 48; 2 and 24; 3 and 16; 4 and 12; 6 and 8 54. 1 and 35; 5 and 7
55. 1 and 24; 2 and 12; 3 and 8; 4 and 6 56. 1 and 13
Section 1.4 Practice Problems
1. $427 2. 255 fuel assemblies 3. 16 boards 4. undefined 5. 0 6. 0 7. undefined 8. 0 9. 2 10. 2592 teens
11. $24.38 12. 17.2% 13. 8.2% 14. 66% 15. 20% 16. $38.47 17. 43% 18. $6.73
Section 1.4 Vocabulary Practice
1. D 2. J 3. I 4. F 5. G 6. H 7. C 8. E 9. B 10. A
Section 1.4 Exercises
1.
Whole
numbers
8%
0.08
3
100
65

3.2%
0
Integers
Rational
numbers
X
X
Irrational
numbers
X
X
X
X
X
X
X
X
X
Whole
numbers
Integers
Real numbers
X
X
X
X
X
X
2.
7
100
15
Irrational
numbers
X
X

9%
0.09
5.3%
0
Rational
numbers
X
X
X
X
X
X
X
X
X
Real numbers
X
X
X
X
X
X
3
3. A 4. C 5. B 6. A 7. undefined 8. undefined 9. 0 10. 0
Fraction notation
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
25.
34.
41.
47.
52.
60.
71.
81.
17
100
1
100
823
10, 000
Percent notation
17%
Decimal notation
0.17
1%
0.01
8.23%
0.0823
200%
80%
2.00
50%
0.50
75%
0.75
61%
0.61
6.1%
0.061
610%
6.1
2
4
5
1
2
3
4
61
100
61
1000
61
10
$1372 26. $1150 27.
0.80
32 weeks 28. 15 weeks 29. 15 F 30. 16 F 31. $621 32. $22,288 33. $45
3
19
$13 35. 1840 policy holders 36. 385 vehicles 37.
inch 38.
estate 39. 128 planks 40. 810 pieces
48
8
5
5
25 schools 42. 38 states 43.
pound 44.
pound 45. 1192 students 46. 5.5 million RV owners
8
6
$161.25 million 48. 332,019 flights 49. 4070 spinal injuries 50. 2310 spinal injuries 51. 409 deaths
297 children 53. 1819 people 54. 9832 people 55. $14,071.05 56. $745.49 57. 27% 58. 37% 59. 14%
68% 61. 20% 62. 25% 63. 42% 64. 67% 65. 41% 66. 36% 67. 233% 68. 325% 69. 11% 70. 11%
19% 72. 45% 73. $473.20 74. $737.99 75. 22% 76. 51% 77. 19% 78. 50 lots 79. 25% 80. 12,060%
25 82. 8 83. 8 84. 25
Section 1.5 Practice Problems
1000 m 1 km
5280 ft
1 mi
;
4b. 6000 m 4c. 6008 m 5a.
;
1 km 1000 m
1 mi
5280 ft
2.2 lb 1 kg
5b. 10,560 ft 5c. 11,880 ft 6a.
;
6b. 11 lb 6c. 24.2 lb 7. 384 mi 8. $126 9. 18 ft 10. 18 ft 2
1 kg 2.2 lb
1. 28 inch 2 2. 11 inches 3. 2 4a.
11. 3.7 m 12. 7800 cm 2 13. 375 cm 2 14. 8.2 ft 2 15. 30,240 in 3 16. 17.5 ft 3
Section 1.5 Vocabulary Practice
1. J 2. B 3. D 4. G 5. C 6. F 7. E 8. A 9. I 10. H
Section 1.5 Exercises
km
km
10. 48
hr
hr
11. 32 mm2 12. 48 ft 2 13. 128 mm3 14. 96 ft 3 15. 128 mm3 16. 96 ft 3 17. 6 18. 5 19a. 8004 m
19b. 8.004 km 20a. 12,054 g 20b. 12.054 kg 21. $1800 22. $3600 23. $150 24. $337.50 25. 22 mi
1. 26,400 ft 2. 24 qt 3. 3000 m 4. 7000 g 5. 0.5 gal 6. 0.75 ft 7. 8 km 8. 7.5 mi 9. 96
26. 37 mi 27. 19 min 28. 40 min 29. 156 in 2 30. 108 in 2 31. 0.6875 ft 2 32. 0.45 ft 2 33. 21.8 yd2
4
g
g
42. 19.4 3
3
cm
cm
roentgen
43. 2431 calories 44. 2630 calories 45. 1358 calories 46. 1531 calories 47. 13% 48. 15,500
hour
49. 14 F 50. 63 F 51. 9 C 52. 18 C 53. 21.70 54. 43.96 57. 500 board feet 58. 666.7 board feet
59. 76 60. 72.4 61. 60.4 62. 77.4 63. 8.5 yards 64. 35 squares 65b. $67.50 66b. 66 in or 5.5 ft
33
4
59
43
67b. 24 cm2 68b. 52.5 km 69.
70. 
x
h  k 71. 20 z  41 72. 76 x  39
10
3
120
60
34. 7.1 yd2 35. 24 in 36. 30 cm 37. 1.39 acre 38. 9.22 ft 2 39. 9 ft 40. 7.5 ft 2 41. 0.8
Section 1.6 Practice Problems
1. 38 ft 2 2. 11.8 fluid ounces 3. 33,493 cm3 4. 9 5. Not a real number 6. 4.5 7. 0 8. 1 9. 2.2 10. 2
11. 2 12. 10 13. 0 14. 1 15. 1 16. 5 ft 17. 103 in 18. 6 knots
Section 1.6 Vocabulary Practice
1. H 2. I 3. A 4. E 5. J 6. F 7. B 8. D 9. C 10. G
Section 1.6 Exercises
21
9
63
823
3.
4.
5.
6.
7. 18.8 cm 8. 40.8 cm 9. 3.1 in 10. 4.4 in 11. 113.0 m 2 12. 50.2 m 2
100
10
1000
1000
13. 6104.2 in3 14. 20,601.5 in 3 15. 452.2 mm2 16. 113,040 cm 2 17. 4239 in3 18. 2564.4 in3
19. 471.4 in 2 20. 408.4 in 2 21. 8177.1 in3 22. 1766.2 in 3 23. 113.0 in3 24. 201.0 in 3 25. 3.873
26. 4.243 27. 4 28. 4 29. 7 30. 3 31. Not a real number 32. Not a real number 33. 5 34. 3 35. 5
36. 3 37. 0 38. 0 39. 1 40. 1 41. 10 42. 10
Whole numbers
47.
48.
49.
50.
51.
52.
53.
54.
55.
3
5

8
Integers
Rational numbers
Irrational numbers
X
X
X
X
X
X
X
X
X
7
Real numbers
100
0.4
X
X
X
X
0
X
X
X
X
X
X
2
3
X
X
0.3
X
X
56.
X
X
0.97
3
57. 8,021,826 mm 58. 115 mm 59. 9079 votes 60. 2335 votes 61. 4.1 miles 62. 5.2 miles 63a. 4.2 knots
mi
km
gal
63b. 4.9
64a. 8.5 knots 64b. 15.7
65. 2600 66. 3600 67. 125 knots 68. 121 knots 69. 475
hr
hr
min
gal
2
2
70. 423
71. 3.4 mi 72. 3.9 mi 73a. A  9; A  3 ; b  3 73b. 3.4643 73c. 3.4641 74a. A  16; A  4
min
; b  2 74b. 4.2426 74c. 4.2426 75a. 6 ft 2 75b. 6 ft 2 76 a. 24 ft 2 76b. 24 ft 2 77. 10 ft 78. 15 ft
79. 9.49 ft 80. 11.18 ft 81. 11.31 m 82. 8.49 m 83a. 706.858 m 2 83b. 706.5 m 2 84a. 50.65 ft 84b. 50.24
85a. 628.319 in 3 85b. 628 in 3 86a. 113.097 in 3 86b. 113.04 in 3 87b. 78.5 in 2 88b. not a real number
89b. 6 90b. 3692.64 in3 91. 0,1, 2,3... 92. ...  3, 2, 1,0,1, 2,3...
5
Summary and Review Chapter 1
1a.
0,1, 2,3...
1b.
...  3, 2, 1,0,1, 2,3...
5. 12  2
2. 13 3.
6. 12  2
7.
Whole
numbers
0.3
1
8
9
11
0
π
Integers
Rational
numbers
X
Irrational
numbers
X
X
X
X
X
X
X
Real
numbers
X
X
X
X
X
X
X
8. 64
9. 64 10. 64 12. 4 13. 5 14. 7 15. 0 16. 0 17. 4 18. 4 19. undefined 20. 0 21. undefined 22. 12
47
23. 12 24a. commutative 25. 1 26. 6 27. undefined 28.
29. 23 30. 17 31. 313 32. 20
20
27
2
1
1
8
24
33. 0 34. 1 35. 10 36. 40 37. 0 38.
39.
40.
41.
42.
43. 
44a. 35
4
61
5
9
3
5
44b. 7 and 5 45. C 46. B 47. B 48. A 49. A 50. C 51. b c f h 52a. 8, 2, 7 52b. 9 52c. x, y, z 52d. 4
53. 5 p 54. 7u  3 y  8 55. 4 x  6 x  10 56. 6a  7 57. 3x  4 58. 4 x  10 y  38 59.  p  13
7

19
1
70. $442
x  z 61. 26 z  3 62. 30wz 63. a 2 b 64. c d e 65. y  42 66. z 
1
15
15
6
7
83
71. $70 million 72a.
72b. 0.07 73a.
73b. 0.083 74. a b d e 75. 100,000 students 7
100
1000
6. 48,750 sophomores 77. 70 strips of fabric 78. 82 feet 79. 2.8 billion gallons 80. 219% 81. 30 institutions
1 kg 1000 g
82. 1.9 million people 83. 20 m 84. 8 ft 85. 42 in3 86. 99 kg 87.
;
88. 2.8 liters
1000 g 1 kg
60. 
89. 18.4 pounds 90. $1710 91. 26.25 mi 92. 2016 in3 93. 410 cm 94. 9 in 2 95. a c d e 96. b c d 98. 9
7
693
99. 0 100. 3 101. not a real number 102, 10 103. 3.46 104. 7.14 105.
106.
107. rational
10, 000
1000
109. 423.9 cm2 110. 44 in 111. 2512 in3 112. 10 ft 113. 14.9 in 2 114. 1.1 m2 115. 276 gal 116. 1.80 in3
Test Chapter 1
Whole
numbers
1.
2.
3.
4.
5.
6.
4
7
2
9
18

0.13
Integers
X
Rational
numbers
X
Irrational
numbers
X
X
X
Real
numbers
X
X
X
X
X
X
X
X
X
91
3
h  60 17. 8w
7. 34 8. undefined 9. 0 10. 17 11. 2 12.
13. 22 14. 76 15. 14 16.
12
20
18. 6 p  15 21. C 22. A 23. B 24. 8820 ft 2 25. 19 points 26. 1.4 m 3 27. 176.625 in2 28. 7%
29. 717 adolescents 30. 6086% 31. 46%
6
Complete Answers Chapter 2
Section 2.1 Practice Problems
1a. x  27 2a. k  39 3a. c  12 4a. d  108 5a. y  24 6a. x  9 7a. p  6 8a. h 
4
5
5
17
4
7
10a. x 
11a. d 
12a. p  
13a. c  11.5 14a. m  0.3 15a. h  75 16a. p  400
4
2
5
30
17a. p  240 18. $920 19. $1.4 billion 20. 1, 406,597 people 21. 1,065, 225 divorces 22. 3.75 mL
23. 125 miles
9a. x 
Section 2.1 Vocabulary Practice
1. J 2. G 3. A 4. I 5. B 6. C 7. E 8. F 9. H 10. D
Section 2.1 Exercises
1. x  16 2. x  24 3. x  32 4. x  36 5. x  192 6. x  180 7. x  192 8. x  180 9. x  3
10. x  5 11a. p  15 12a. z  15 13a. c  5 14a. d  3 15a. h  20 16a. k  75 17a. w  1.1
3
4
11
11
22a. x 
23a. m  
24a. d  
4
3
36
45
25a. z  0 26a. b  0 27a. x  40 28a. y  50 29a. p  1050 30a. p  432 31a. x  1.8
18a. y  0.52 19a. a  4.5 20a. m  8.4 21a. x 
29
37
34a. w 
35a. a  12 36a. b  12 37a. v  40 38a. u  48 39a. n  675
24
30
40a. m  276 41a. p  0.5 42a. w  0.4 43a. p  50 44a. p  80 45a. x  1.75 46a. x  1.25
49. $160 50. $601.34 51. 40,614 seats 52. 1.0 million visits 53. 9448 albums 54. 827,565 doctors
55. $67.13 56. $26.94 57. 116 adults 58. 319,000,000 persons 59. $2832.44 60. $92.25
61. 215 cases of invasive MRSA 62. 226.3 million adults 63. 2097 adult Americans 64. 720,000 people
65. 808 adults 66. 2200 people 67. 24,200,000 men 68. 11,900,000 women 69. 1.4 million pieces
70. 221 births 71. 3.6 pounds 72. 6.1 pounds 73. 0.35 mL 74. 0.51 mL 75. 128 miles 76. 102 miles
77. 56 accidents 78. 58 accidents 79. 180 stitches 80. 195 stitches 81. 60 calories 82. 53 calories
83. 14 men 84. 183% 85. 32% decrease 86. 70,585 people 87. p  114,055 88. c  629, 280
32a. y  5.6 33a. k 
89. d  51.02 90. b  60 91b. x  648 92b. x  23 93b. x 
96.
22
21
94b. x  
95. 6 x  25
5
3
3
22
62
x  9 97.
98. 6 x  8
x
2
15
15
Section 2.2 Practice Problems
1a. c  9 2a. k  10 3a. x  165 4a. x  12 5a. w  5 6a. x  10 7a. x  6 8a. w  23
3
5
9a. x 
10a. x  6.2 11a. z 
12. 18, 240 miles 13. 1800 products
10
34
Section 2.2 Vocabulary Practice
1. C 2. G 3. A 4. J 5. H 6. D 7. B 8. F 9. E 10. I
Section 2.2 Exercises
1a. x  7 2a. x  7 3a. x  17 4a. x  17 5a. x  68 6a. x  153 7a. x  28 8a. x  63 9a. x  11
10a. x  11 11a. x  9 12a. x  8 13a. p  20 14a. c  16 15a. x  9 16a. x  8 17a. x  23
7
18a. x  21 19a. w  24 20a. d  33 21a. h=81 22a. a  40 23a. k  26 24a. m  18 25a. x 
1
3
9
7
4
27a. u 
28a. v 
29a. z  29 30a. p  27 31a. x  0 32a. x  0 33a. b  12.1
7
8
5
34a. w  8.5 35a. z  3 36a. p  8 37a. k  3 38a. d  2 39a. x  4 40a. x  6 41a. a  5.5
26a. x 
1
17
7
1
44a. w  
45a. p 
46a. m 
47a. x  3 48a. y  3 49a. w  9
2
24
4
10
50a. b  16 51a. y  9 52a. z  2 53a. m  12 54a. p  18 55a. k  12 56a. c  11
57. 22,500 miles 58. 13,500 miles 59. 1750 products 60. 140 products 61. 10.3 miles 62. 11.25 miles 63.
6 additional hours 64. 4 additional hours 65. 6 additional miles 66. 10 additional miles 67. 1031 miles 68.
16 costumes 69. $360,000 in additional sales 70. $777,778 additional sales 71. 856,000 software engineers
72. 7500 workers 73. $57,500 74. 997,500 New Turkish Lira 75. 1300 babies 76. $1365
5933
14,381
562
77. 6,164,717 gal 78. 175% increase 79. p 
80. c  1, 207,568 81. d 
82. x 
530
1630
675
83b. x  6 84b. x  7 85b. x  21 86b. x  3 87. 40 88. 60 89. 168 90. 270
42a. c  3.8 43a. h  
Section 2.3 Practice Problems
7
5a. 4  x  12  180 5b. x  57
4
6a. 20x 1500  4x  300 6b. x  112.5 7a. no solution 8a. the solution is the set of real numbers 9a. x  0
10. 15 products must be made and sold to break even 11. 10 quilts
1a. w  25 2a. w  2 3a. k  4 4a. 6 x  3  10 x  4 4b. x  
Section 2.3 Vocabulary Practice
1. E 2. J 3. I 4. G 5. D 6. C 7. B 8. F 9. H 10. A
Section 2.3 Exercises
1a. x  4 2a. x  4 3a. w  10 4a. k  6 5a. y  5 6a. z  12 7a. h  7 8a. c  12 9a. k  12
10a. h  14 11a. x  
13
15
17
12a. x  
13a. p  420 14a. p  315 15a. x  111 16a. x  92 17a. a 
2
2
3
87
19a. z  72 20a. b  79 21a. v  0 22a. w  0 23a. 16b  288  15b  240 23b. b  48
2
3
24a. 9u  216  10u  108 24b. u  108 25a. 6 y  27  8 y  24 25b. y 
26a. 3z  4  9z  6
2
1
26b. z   27a. 3  4 p  1  75 27b. p  6 28a. 2 8h  2   36 28b. h  2
3
29a. 3  x  9  4  2 x  4  66 29b. x  5 30a. 14  2 x  6  9  3x  4  54 30b. x  6 31a. 24a  25a  240
18a. d 
12
12
10
10
33b. x  
34a. x  
34b. x  
49
49
63
63
35a. 15w  900  11w  210 35b. w  277.5 36a. 24 g  102  16g  580 36b. g  85.25
37a. 320n  21  210n  89 37b. n  1 38a. 670r  16  540r  114 38b. r  1 39a. 130k  40  146k  4
39b. k  2.25 40a. 192w  32  102 w  4 40b. w  0.4 41a. no solution 42a. no solution 43a. the set of real
numbers 44a. the set of real numbers 45a. x  0 46a. x  0 47a. the set of real numbers 48a. the set of real
numbers 49a. p  0 50a. n  0 51a. no solution 52a. no solution 53a. no solution 54a. no solution
55a. c  0 56a. w  0 57a. the set of real numbers 58a. the set of real numbers 59a. no solution
60a. no solution 61a. r  2 62a. a  2 67. 300 products 68. 380 products 69. 127 products
70. 147 products 71. 0.6 mile 72. 1.1 mile 73. 6 hr 40 min 74. 10 hours 75. 22,567 people 76. 11%
77. $350.4 million 78. 350 feet 79. $46.25 80. $45 81. c  6 82. no solution 83. the set of real numbers
31b. a  240 32a. 4c  6c 126 32b. c  63 33a. x  
8
11
5
85b. x  16 86b. no solution 87b. x   88b. x  5 89. 0.75 hr 90. 576 min 91. 3x  8 y
10
3
92. 2 hours
84. x 
Section 2.4 Practice Problems
5
15
A
P  2W
4
8
1. x   y  4 2. y  x 
3. y   x  240 4a. W 
4b. 81 ft 5a. L 
5b. 493 meters
2
2
L
2
3
3
Section 2.4 Vocabulary Practice
1. C 2. I 3. D 4. F 5. E 6. J 7. B 8. H 9. G 10. A
Section 2.4 Exercises
1
10
9
6. y  x  4
x
2
3
10
3
5
27
5
7. y   x  15 8. y   x  72 9. y  3x  21 10. y  5x  27 11. y  x 12. y  x
4
6
16
6
3
11
9
7
19
40
4
28
7
10
13. y  x 
14. y  x 
15. y 
16. y 
17. y  x 18. y  x
x
x
4
4
2
8
8
51
17
45
5
3
50
200
16
200
1
20
1
40
20
19. y   x 
20. y   x 
21. x  y 
22. x  y 
23. x  2y 
27
3
9
3
3
3
9
9
3
5
25
10
40
6
16
128
4
6
24. x 
25. x   y  18 26. x  
27. x  y 28. x  y 29. A   B 
y
y
2
2
9
9
5
27
3
3
5
7
9
7
56
30. C   D 
31. P  R  7 32. A   B  9 33. G  F  300 34. K  H  800
2
4
3
3
PV
A P
2
3
A
d
PV
35. R   W  42 36. M   Y  12 37. L 
38. r 
39. n 
40. T 
41. R 
RT
PT
5
7
t
nR
W
P  2L
V
V
2A
2A
5
160
9
42. W 
43. H 
44. W 
45. b 
46. h 
47. C  F 
48. F  C  32
2
LH
LW
9
9
5
h
b
1. y  3x  20 2. y  9 x  40 3. y  3x  20 4. y  9 x  40 5. y 
144 in V
T
49.
LW
144 in V
W
3
3
50.
LT
51. x1  3 A  x2  x3 52. x3  3A  x1  x2 53. r 
C
C
54. D 
2

144in 3 V
144in 3 V


P
P
55. L 
56. S 
57a. L 
57b. 4608 in 57c. 384 ft 58a. L 
58b. 4992 in
4
3
TW
TW
PV
A P
nRT
58c. 416 ft 59a. P 
59b. 32 atmospheres 60a. n 
60b. 2.01 moles 61a. R 
61b. 6%
RT
PT
V
A P
M
M
d
62a. R 
62b. 10% 63a. V 
63b. 67.8 mL 64a. V 
64b. 10.8 mL 65a. r 
PT
D
D
t
V f  Vi
V f  Vi
mi
mi
d
ft
ft
65b. 72
66a. r 
66b. 66
67a. a 
67b. 16.6
68a. a 
68b. 11.6
2
hr
hr
t
t
t
sec
sec2
DP
4A
69a. T 
69b. 0.54 in 70a. Do 
 Di 70b. 19 in 71. 1,806, 250 ft3 72. 1324 dump truck loads
1.75Y

75. $443.95 76. 16,300 students 77. $74.22 per square foot 78. $78.96 per square foot 79. 1944 in2
80. 5896 tools 81. 125,000 veterans 82. 138 children 83. 160 ft 84. 60 feet 85. $4, 230, 431.25
g
1
27
12
2
86. 0.871
87b. y  x  2 88b. x  y  3 89b. x  y 
90b. Vi  at  V f 91.  92. 
mL
4
4
19
5
93.  94. 
9
Section 2.5 Practice Problems
1.
2.
5a. x  2
3.
4.
5b.
6a. x  8 6b.
7b.
8a. x  8 8b.
x  12 9b.
9a.
10a. x  0 10b.
11a. 10x  3  135  30x 11b. x 
12b. x  
7a. x  2
33
11c.
10
1
12c.
6
13a. 2 x  9  17 13b. x  13
14a. 4x  80  6x  200 14b. x  12
13c.
14c.
12a. 6 x  4  5
15a. 3x  6  16  0 15b. x 
10
15c.
3
16. $240 million 17. 400 minutes
Section 2.5 Vocabulary Practice
1. I 2. E 3. E 4. D 5. F 6. C 7. G 8. H 9. B 10. A
Section 2.5 Exercises
1.
2.
3.
4.
5.
6.
7.
8.
9a. p  9 10a. z  9 11a. p  15 12a. z  19
13a. p  9 14a. z  9 15a. c  2.3 16a. a  18 17a. c  23 18a. a  18 19a. c  17 20a. a  12
1
1
26a. h   27a. a  5 28a. u  7
3
5
23
3
29a. x  15 30a. x  33 31a. z  6 32a. p  3 33a. y  
34a. z  
35a. x  8
2
4
21a. z  5 22a. p  11 23a. x  8 ; 24a. x  10 25a. w  
35b.
37a. x  3 37b.
38b.
36a. x  7 36b.
38a. x  6
39a. x  25 39b.
40a. x  22
10
41a. x 
40b.
3
41b.

42a. x  
43a. x  0 43b.
42b.
1

44a. x  0
45a. x  7 45b.
44b.
46a. x  8 46b.
47a. x  9
48a. x  4 48b.
47b.
49a. x  5 49b.
50a. x  8
51a. 3m  2  12 51b. m 
50b.
10
9
52a. 10n  3  12 52b. n 
10
3
15
1
54a. 3h  36  8h  24 54b. h 
55a. 2w  50  86 55b. w  18

5
56a. 3z  90  156 56b. z   57a. 98 p  400  18 p  800 57b. p  5 58a. 104h  60  102h  80
53a. 5k  60  9k  90 53b. k 
58b. h  10 59a. 9  2u  8   10 3u 12  59b. u  16 60a. 5 3v  4   8 2v 10  60b. v  60
63a. m = the number of vehicle miles replaced 63b. m  3.2 million vehicle miles 64a. v = home value in dollars
protected from creditors 64b. v  $50,000 65a. s = dollars in stimulus package 65b. s  $24.6 billion
66a. w = the amount of water needed 66b. w  2,000 liters 67a. S  score on final exam 67b. S  85%
68a. C  maximum number of calories from fat 68b. C  00 calories 69a. h  height 69b. h  54 inches
70a. n  number of people in a group 70b. n  14 people 71. 10 recipes 72. 384 miles 73. 143 hours 74. 102
hours 75. 9.725 76. 94 77. $3.58 per day 78. 8249.1 metric tons 79. $365 million 80. $451.2 billion
167
11
17
81. 91% 82. $322.50 83. $8.50 84. 6072 drugstores 85. h 
86. x  50.5 87. x 
88. x  
10
7
375
89b. x  12 90b. p  22 91b.
Whole
numbers
93.
94.
95.
96.
92b.
Integers
12
3
11
25
0.68
X
Rational
numbers
Irrational
numbers
X
Real
numbers
X
X
X
X
X
X
X
Summary and Review Chapter 2
1a. x  18 2a. x  75 3a. a  3 4a. b  3 5a. x 
13
6
6a. x  
7a. h  60 8a. k  0

5
1
11a. x  0 12a. z  9 13a. a  40 14a. x  1.6 15a. a  13.5
4
16. $893 per month 17. $680 18. $25,347,000,000 19. 15 students 20. 16 fatal work injuries
9a. p  180 10a. z 
21. 56,440 psychologists 22a. x  9 23a. m  4 24a. b  0 25a. z  9 26a. x 
9
27a. x  3

11
1

33a. the set of real numbers 34a. x  3 35a. no solution 36a. x  1 37a. x  0 38a. 5  2 z 16   160
28. 14 referrals who sign a contract 29. 960,000 cell phones 30. $1043.88 31a. a  14 32a. x  
9
8
41b. no solution 42. a c 43. b c e 44. 13 months 45. 300 products
38b. z  4 39a. 8d  160  6d  240 39b. d  00 40a. 8k  18  27 40b. k 
41a. 3 14 x  8  40x  2  x  9
46. y 
3
9
4d  D
NS
mi

AD
C
x  47. x  y  3 48. S 
49. a 
50a. A 
50b. 63
51a. R 


D
D
hr
3
N
P W
51b. 2% commission 52.
54a. x  7 54b.
56.
58.
53.
55 x  3 55.
57. x  0 57.
56. x  6
58. x  5
59a. 3x  4  7 59b. x  1 59c.
60a. 2a  14  4a  38 60b. a  26 60c.
61. a b e f 62. b c d 63. a b 64. d 65. a b
66a. n = number of people who visited the Metropolitan Museum of Art 66b. n  5.2 million people
67a. a = amount of loan 67b. a  $25,000 68. 25 feet 69. 77 strokes
Test Chapter 2
1a. x  4 2a. p  4 3a. no solution 4a. c  3 5a. w  10 6a. x  15 7a. d  9 8a. a 
9a. the set of real numbers 10a. p  6.5 11a. n  0 12a. x  5
27
2
13a. x  4 13a.
D  A  B
1
1
14a. 9 x  5  2 14b. x   15a. 13h  29  5  3h  9 15b. h  8 17. y  x  8 18. C 

5
3
9A
19. W 
20. 178,500 jobs 21. 490,400 women 22. 634 products 23. $695 24. 39 square yards 25. $24
1.06L
per week
12b.
12
Complete Answers Chapter 3
Section 3.1 Practice Problems
4.
5.
6.
1
1
x  y  2 7b. 3x  y  12 8. 2x  y  2
2
6
9b.
10b.
11b.
12b.
13b.
14b.
15.
16.
17.
7a.
13
18.
19.
20.
10,10,1; 10,10,1
10,15,1; 10,10,1
10,10,1; 10,10,1
21.
10,10,1; 10,10,1
Section 3.1 Vocabulary Practice
1. G 2. I 3. D 4. B 5. E 6. A 7. F 8. J 9. H 10. C
Section 3.1 Exercises
1a. x = number of hours for sleeping; y = number of hours for gaming 1b. x  y  4 hr
2a. x = number of hours for soccer; y = number of hours for instant messaging 2b. x  y  5 hr
3a. x = amount of money invested in stock; y = amount of money invested in real estate 3b. x  y  $250,000
4a. x = amount of money for medical bills; y = amount of money for education 4b. x  y  $0,000
5a. x = amount of money for movies; y = amount of money for music 5b. x  y  $100
6a. x  number of points before 6 pm; y = number of points after 6 pm 6b. x  y  4 points
27a.
27b.
27e.
 0,6
 6,0 
28a.
28b.
28e.
 0,8
8,0 
29a.
29b.
 0, 5
 5,0 
29e.
14
30a.
30b.
 0, 3
 3,0 
30e.
31a.
31b.
 0,12
 4,0 
31e.
32a.
32b.
 0,12
 3,0 
32e.
33a.
33b.
 0,2 
12,0 
33e.
34a.
34b.
 0,3
12,0 
34e.
37a.
37b.
37e.
35a.
35b.
 0,14
 4,0 
35e.
 0, 4
10,0 
38a.
38b.
36a.
36b.
 0,4 
14,0 
36e.
 0, 10
 4,0 
38e.
15
39a.
39b.
 0,12
 10,0
39e.
40a.
40b.
 0,10
 12,0
40e.
43a.
43b.
 0,400
 400,0
43e.
45a.
45b.
41a.
 0,3
 27 
41b.   ,0 
 2 
41e.
44a.
44b.
 27 
42a.  0, 
 2 
42b.  3,0 
42e.
 0,200
 200,0
44e.
 0, 1000
 1000,0
45e.
16
46a.
46b.
 0, 2000
 2000,0
46e.
48a.
48b.
47a.
47b.
 0,500
 25,0 
 0,600
 20,0
49a.
49b.
48e.
 0,500
 5,0 
49e.
47e.
50a.
50b.
50e.
 0,600
 6,0
 3,0
 0,3 54a.  4,0  54b.  0,4  55a.  7,0  55b.  0, 4 
 6,0 56b.  0, 2  57a. 160,0 57b.  0,140 
140,0 58b.  0,120  59a.  6 s, 0 gal 59b.  0 s, 3 gal 
 6 s, 0 mL 60b.  0 s, 0.8 mL  61a. 6x  y  2 or
51a. (3, 0)
53b.
56a.
58a.
60a.
51b. (0, 2) 52a. (2, 0) 52b. (0, 1) 53a.
6 x  y  2 62a. 5x  y  9 or 5x  y  9 63a.
2
3
x  y  20
5
8
2
5
x  y  2 64b. 12x  35 y  84
7
6
65a. 2x  y  11 or 2x  y  11
66a. 9 x  y  62 or 9 x  y  62
3
67a.  x  y  11 67b. 3x  4 y  44 or 3x  4 y  44
4
63b. 16 x  15 y  800 64a.
17
68a.
69b.
2x  3 y  39 or 2x  3 y  39
2
x  y  13 68b.
3
70b.
71b.
18
72b.
73b.
74b.
75b.
76b.
77b.
78b.
79b.
80b.
83. $1635 84. 48% 85. $3714.88 86. 329.7 in2
87.
88.
89.
10,10,1; 10,10,1
10,10,1; 10,10,1
10,10,1; 10,10,1
90.
10,10,1; 10,10,1
19
91b. The y-intercept is  0,6 
92b. The x-intercept is  4,0 
93b.
94b.
x
Y
0
0
1
3
1 3
95. m  3
96. m  7
97. m  0
98. m is undefined.
Section 3.2 Practice Problems
60 mi
5 in
3
1
5
1
5 gal
8 gal
433,333 acre
1%
2.
3.
4.
5. 3 6.
7. 
8.
9. 
10.
11.
1 hr
1 min
4
2
8
6
1 hr
1 hr
1 yr
1 yr
4
1
12. 
13. 2 14. 
15a. 0 15b. horizontal 15c. y  14 16a. undefined 16b. vertical 16c. x  1
3
2
17.
18.
1.
19. 0 20. undefined
21.
10,10,1; 10,10,1
22. y  7
24a.
10,20,1; 10,10,1
b. y  52
10,10,1; 10,10,1
20
Section 3.2 Vocabulary Practice
1. I 2. H 3. B 4. G 5. J 6. A 7. C 8. D 9. E 10. F
Section 3.2 Exercises
3620 acres
$19,069,000
147,000 men
288,000 women
51 deaths
22 deaths
2.
3.
4.
5.
6.
7.
1 yr
1 yr
1 yr
1 yr
1 yr
1 yr
5
7
1.3 pound
0.75 pound
169 degrees
1,770 degrees
$66
0.9%
8.
9.
10.
11.
12.
13.
14.
15.


1 yr
1 yr
1 yr
1 yr
1 yr
1 yr
15
8
31
18
4
9
3
8
1
18.
19.
20.
21. 
22. 
23. 3 24. 
25.
26. 12 27.
28.
3 16. 7 17.
14
7
8
5
3

2
3
64
1
9
8
$9
$15
29. 
30.  31.
32.
33. 1 34. 2 35. 1 36. 1 37. undefined 38. undefined 39.
96
4
3
1 hr
1 hr
4
1
1
1
4
3
$000
$500
44. 
45.
46.
47.
48.
49b. 
50b. 
0 40. 0 41. 1 42. 1 43. 
3
5
6
8
9
10
1 yr
1 yr
1
1
5
8


51b.
52b.
53b.
54b.
55b. 
56b. 
57b. 1 58b. 1 59b. 1 60b. 1 63. y   64.
3
4

3
5
3
y  8 65. x  4 66. x  1
67a.
68a.
69a.
70a.
1.
67b. m  0
71a.
68b. m  0
72a.
69b. undefined
73a.
70b. undefined
74a.
71b. undefined
74b. undefined
72b. m  0
73b. m  0
75. y  0 79. Increase of $23 per week 80. 16.8 meter 81. 1.75 billion gallons 82. 135,217 questionnaires
83a.
84a.
85a.
86a.
10,10,1; 10,10,1
10,10,1; 10,10,1
20,10,1; 10,10,1
10,30,1; 10,10,1
83b. y  3.5
84b. y  8.75
85b. y  16.25
86b. y  10
21
87b m  2
88b.
89b.
2
90b. undefined 91.
7
 0,1
92.
 0,0
93.
 0, 3
94.
 0, 1
Section 3.3 Practice Problems
1a. 9600 bricks
1b.
60 bricks
1 hr
1c. The number of bricks already used in the project 2. y  5x  9 3.
4
1
3
9
9
y  8x  5 4. y  x  9 5. y  7 x 
6. y   x  3 7. y   8. y   x  3 9a. y  x  18 9b.
3




9c.  0, 18 10a. y  4 x 10b. 4 10c.  0,0 
11.
12.
13.
14.
15a. y 
15b.
2
x4
3
6
16a. y   x  8
5
16b.
22
 $75 
17. a. y  
 x  $350
 1 month 
17b.
17c. After 4 months, the account will have $650.
18.
19.
20.
Section 3.3 Vocabulary Practice
1. F 2. G 3. H 4. I 5. J 6. B 7. A 8. C 9. D 10. E
Section 3.3 Exercises
0.5 grams
4. 24 hours 5. $27.75 6. $9.93 7. The cost of shipping for each book.
1 hr
8. Charge for a shipment, no matter how many books are ordered 9. $9.09 10. $1.33 11. The cost per shipment,
no matter how many pounds are shipped 12. The cost of shipping per pound 13. $54.45 14. $69.58 15. $119
16. $74 17. 15,200 ft 18. 12,800 ft 19. 28.5 miles 20. 22.4 miles
1. 4 grams 2. 3 grams 3.
23
21a. y 

x4
3
22a. y 
3
x
4
21b.
22b.
23a. y  3x  1
23b.
24a. y   x  3
24b.
25a. y  5
25b.
26a. y  6
26b.
24
27a. y  4 x
27b.
29a. y 
5
x 1

28a. y  3x
28b.
30a. y 

x4
3
29b.
30b.
1
31a. y   x  4

31b.
1
32a. y   x  5
3
32b.
25
33a. y  3x 
1

34a. y  4 x 
33b.
1

34b.
 30 mi 
 40 mi 
  cm 
 4 cm 
35. y  
 x  8 mi 36. y  
 x  35 mi 37. y  
 x  15 cm 38. y  
 x  60 cm
1
hr
1
hr
1
s






 1s 
 $1.39 
 $1.89 
39. y  
 x 40. y  
 x 41a. 1 41b.  0, 3 41c. y  x  3 42a. 3 42b.  0, 4 
 1 pound 
 1 pound 
42c. y  3x  4 43a. 2 43b.
 0,3
43c. y  2 x  3 44a. 1 44b.
 0, 3
44c. y   x  3
45a. undefined 45b. no y-intercept 45c. equation cannot be written in slope-intercept form. 46a. undefined
46b. no y-intercept 46c. equation cannot be written in slope-intercept form. 47a. 0 47b.  0, 3 47c. y  3
48a. 0 48b.
51a. 1 51b.
 0,4 
 0,4 
 2 
 1 
49c.   ,0  50a. 6 50b.  0,1 50c.   ,0 
 3 
 6 
52a. 1 52b.  0,7  52c.  7,0  53a. 1 53b.  0,0  53c.  0,0  54a. 1
48c. y  4 49a. 3 49b.
51c.
 4,0 
2
56b.  0,2  56c. 15,0  57a. 1
15
4
6
57b.  0, 6  57c.  6,0  58a. 1 58b.  0, 2  58c.  2,0  59a.
59b.  0,4  59c.  3,0  60a.
3
5
10
10
60b.  0,6  60c.  5,0  61a. 
61b.  0, 20  61c.  6,0  62a. 
62b.  0, 30  62c.  9,0 
3
3
2
5
9
9
 27 
 64 
63a.
63b.  0, 3 63c.  ,0  64a.
64b.  0, 8 64c.  ,0  65a. y  x  1 65b.
9
8
8
8
 2 
 5 
5
5
1
1
65c.  0,12  66a. y  x  50 66b.
66c.  0,50  67a. y  x  1 67b.
67c.  0,1 68a.
16
16

2
1
7
1
4
67
4
5
3
5
67 
 7

y  x
68b.
68c.  0,  69a. y  x 
69b.
69c.  0,   70a. y  x 
70b.
70c.
9 
4
4
4
9
9
9
8

8

 4
23 

 0,   71. 0 73a. 5 73b. 5 74.  0,0 
2

54b.
 0,0 
54c.
 0,0 
55a. 
8
55b.
3
 0,2 
 0,8
55c.
 3,0 
56a. 
26
75.
76a.
75b. $30
76b. $26
 $800 
77a. y  
 x  $100
 1 month 
 4 gal 
78a. y  
 x  0 gal
 1 hr 
78b.
77b. $5200
78c. 44 gallons.
27
 75 reams 
79a. y  
 x  1000 reams
 1 day 
79b.
 15 pounds 
80a. y  
  450 pounds
 1 week 
80b.
80c. 375 pounds
79c. 400 reams
81. 10,500 homes 82. 5,471,136 square feet 83. 3620 workers 84. $2080
85.
86.
87.
88.
89b. y 
91b.
6
x  6 90b. The slope is undefined. There is no y-intercept.
5
92b. y  2 x  12
93. parallel
94. perpendicular
95. neither
96. parallel
28
Section 3.4 Practice Problems
5
1a. y  12  3 x  5 1b. y  3x  3 2. y   x  11 3a. 7 3b. y  15  7  x  8 or y  29  7  x  10 
8
1
1
1
17
3c. y  7 x  41 4. y  7 x  43 5. y  3x  19 6a. 2 6b. 
6c. y   x   7. y   x 
8.
3
3
2

$549.1 billion
$16.4 trillion 9.
1 yr
11. a.
11c.
54,242 medical emergencies
[0, 25, 2; 3296, 88,206, 10,000]
[0, 25, 2; 3296, 88,206, 10,000]
Section 3.4 Vocabulary Practice
1. B 2. C 3. F 4. J 5. E 6. I 7. D 8. A 9. G 10. H
Section 3.4 Exercises
1a. y   9   2  x  2 1b. y  8x  5 2a. y   5  6  x  3 2b. y  6 x  3 3a. y  1  4  x  3
2

 x  6  5b. y  x  4
3
3
1
1
15
3
19

7
6a. y  10   x  5 6b. y  x 
7. y   x 
8. y   x 
9. y  8x  11 10 y  6 x  9
4
4
3
3
2


11. y  3 12. y  1 13. y  0. x  6.2 14. y  0.4 x  0.8 15a. 5 15b. y  1  5 x  6  or
3b. y  4 x  13 4a. y  1  5 x  4 4b. y  5x  21 5a. y  8 
y  11  5 x  8 15c. y  5x  9 16a. 4 16b. y  9  4  x  5 or y  17  4  x  7  16c. y  4 x  11
17a. 4 17b. y  12  4  x  9  or y  36  4  x  3 17c. y  4 x  48 18a. 3 18b. y  15  3 x  10 
or y  27  3 x  6  18c. y  3x  45 19a. 5 19b. y   3  5 x  1 or y   18  5 x   2  
19c. y  5x  8 20a. 5 20b. y   5  5  x   2   or y  20  5 x  3 20c. y  5x  5 21. y 
3
69
x
4
4
3
69
x
23. y  9 24. y  11 25. y  x 26. y  x 27. y   x 28. y   x 29. 8 30. 3
4
2
1
1
3
1
3
5
31.  32.  33. 1 34. 1 35. y  9 x  58 36. y  5x  50 37. y  x 
38. y  x 
4
2
8
4
8
3
8
4
3
5
56
39. y   x  5 40. y   x  7 41. y  x  12 42. y  x 
45. There are an infinite number of lines.
5
3
2
6
3
1
1
26
46. There are an infinite number of lines. 47. 1 line 48. 1 line 49a. 5 49b. 
49c. y   x 
50a. 2
5
5
5
1
1
9
50b. 
50c. y   x 
51a. 5 51b. 5 51c. y  5x  26 52a. 3 52b. 3 52c. y  3x  8
2
2
2
3
17
3
5
2
1
5
2
5
3
53. y   x 
54. y   x 
55. y   x  56. y   x 
57a. y  x 
4
4
2
2
3
3
6
3
4
2
5
27
7
2
7
34
5
13
5
31
57b. y  x 
58a. y  x 
58b. y  x 
59a. y   x 
59b. y   x 
3
3
7
7
7
7
4
4
3
3
22. y 
29
6
14
60a. y   x 
5
5
6
8
60b. y   x 
61a. y  3
5
5
63b. y  3x  8 64a. y   x
61b. y  1 62a. y  1
62b. y   63a. y  3x
64b. y   x  4 65. 418,371 people 66. 436,768 people 67.
6.4 divorces
1000 people
6.1 divorces
69. 57,843 registrations 70. 68,810 registrations 71. 4,275,000 people 72. 4,307,000 people
1000 people
73. $8.01 74. $8.69 75. 59.3 billion pounds 76. 60.7 billion pounds 77. 4,226,000 teachers 78. 4,065,000
teachers 79. 14.1 pounds 80a. 40 feet 80b. 64 ft2 81. $0.16 per minute 82. $8
83a. 418,371 people
85a. $7.11
86a. 53,456 boat
6.4 divorces
84a.
registrations
83b
85b.
1000 people
86b.
84b.
68.
[0, 15, 1; 0, 10, 1]
[0, 35, 5; 0, 450000, 50000]
[0, 15, 1; 0, 60000, 5000]
0,30,1,0,12,1
3
87b. y  6 x  3 88b. y  3x  3 89b. y   x  21 90b. y  5x  33 91.
2
y  3 94. y  15
3,5,9,15
92. ,4,8, 93.
Section 3.5 Practice Problems
1. Both a relation and a function 2. neither a relation nor a function 3. both a relation and a function 4. both a
relation and a function 5. just a relation 6b. yes 7b. yes 8b. yes 9b. no 10. y  17 11. 56 12. 23 13. 53
14. Pitt 15. 2 16. 1 17. 2
18.
19.
20.
States with More Than 20 Electoral
College Votes
55
Number of Votes
60
50
40
34
31
27
30
21
20
10
0
TX
CA
FL
IL
NY
21a. {1 shirt, 2 shirts, 3 shirts, 4 shirts} 21b. {$4.39, $8.78, $13.17; $17.56}. 22a. {21, 28, 24, 15}
22b. {3, 4, 5}
23a.
24a.
25a.
[  10, 10, 1; 10, 10, 1]
[  10, 15, 1; 10, 25, 1]
[  10, 10, 1;  20, 10, 1]
23b. f  5  
24b. f 14   0
25b. f  3  16
30
Section 3.5 Vocabulary Practice
1. C 2. A 3. F 4. G 5. B 6. D 7. E 8. H 9. I 10. J
Section 3.5 Exercises
1. both 2. both 3. both 4. both 5. both 6. both 7. neither 8. neither 9. relation 10. relation 11. both
12. both 13. both 14. both 15. both 16. relation 21.  3,1 , 1,  ,  , 3 ,  3,1
22.
 3,1 , 1,  ,  3,1 , 3, 3
23a. yes 24a. no 25b. yes 26b. yes 27b. no 28b. no 29. 20 30. 27 31. 15
11
1
38. 
39. Ocala 40. Green Cove Springs
3
5
41. R  $133,800 42. C  $10,000 43. 11,181 million gallons 44. $14,799 million 45. $1.87 46. $243 47.
10% 48. 11% 49. 109.5 million certified units 50. 170 million certified units
51.
52.
53.
32. 3 33. 5 34. 2 35. 50 36. 29 37. 
54.
55.
56.
57.
Saddle Bronc Riding Results
Saddle Bronc Riding
Results
78
77
75
74
74
$1,800
73
$1,300
Prize Money
Score
100
80
60
40
20
0
58.
$800
$300
$1,459
$1,106
$796
$420 $420
$221
($200)
59. {Buddy, Joey, Skunkface, Oscar} 60. {orange, peach, apple, banana} 61. {cloudy, partly cloudy, clear}
31
62. {MN, TX, OR} 63. the set of real numbers 64. the set of real numbers 65. {20 buckets, 21 buckets, 22
buckets, …, 118 buckets, 119 buckets, 120 buckets} 66. {4 cans, 5 cans, 6 cans, …, 9 cans, 10 cans, 11 cans}
6
67. {dog, goat, cat} 68. {62 calories, 37 calories, 72 calories, 105 calories} 69. 768 ft2 70. slope =
7
71. 2.6 mL 72. 185.6 mg
73a. .
74a.
75a.
76. f 1  5
[  10, 10, 1; 10, 10, 1]
[  10, 10, 1;  20, 10, 1]
[  10, 10, 1; 10, 30, 2]
73b. f     
74b. f  4   16
75b. f 8  6
[  10, 10, 1; 10, 30, 2]
77b. The domain is 8,2,0,5 78b. 51
79b.
80b. This graph does not represent a function. A vertical line can be drawn that crosses it more than once.
81.
82.
83.
84.
Section 3.6 Practice Problems
1.
2.
3.
32
4.
7
5
5. y  4 x  4 6. y   x 
7. x  3
4
4
8a. x = number of pounds of Guatemala coffee; y = number of pounds of Columbia coffee
8b. x  y  7000 pounds
8c.
9a. x = amount of an FHA loan
9b. x  $729,7500
9c.
10a. x = number of photo digital files; y = number of video digital files
10b. x  y  100 files
11a. x = score on the final exam
11b. x  78%
11c.
33
12.
13.
[  10, 10, 1; 10, 10, 1]
[  10, 10, 1; 10, 10, 1]
Section 3.6 Vocabulary Practice
1. F 2. D 3. G 4. E 5. J 6. A 7. I 8. C 9. B 10. H
Section 3.6 Exercises
1.
2.
3.
4.
5.
6.
7.
8.
9.
34
10.
13.
11.
14.
12.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
35
26.
27.
28.
29. y   x  1 30. y   x  1 31. y  3 32. y  3 33. y  x 34. y  x 35. x  1 36. x  1
2
8
2
5
4
4
y  x  3 40. y  x  4
37. y   x 
38. y   x 
39.
3
3
3
3
3
3
49a. x  y  1120
47a. x  y  $1000
48a. x  y  $44,000
49b.
47b.
48b.
50a. x  y  1000
50b.
51. $0.99x  $1.99 y  $35 52. $.99 x  $3.40 y  $100 53. x  y  8 years 54. x  y  0 kg 55.
x  y  $00 56. x  y  $30,400
57a. x = percent of consistently unfavorable treatment 57b. x  20%
58a. x = area of land used as a forest 58b. x  0 acres
59a. x = number of shares owned by a director on the board 59b. x  500 shares
60a. x = amount of the initial investment 60b. x  $100,000
10 mg
61a. x = exposure to flour dust 61b. x 
1 m3
30 mg
62a. x = exposure to flour dust; 62b. x 
1 m3
63a. x = amount of folate 63b. x  400 mg
64a. x = amount of preformed Vitamin A 64b. x  10,000 international units
65a. x = number of years of employment; y = age of the employee 65b. x  y  90 years
66a. x = score of the maintenance team; y = score of the bus operator 66b. x  y  5 points
67a. x = amount of final average salary; y = benefit level 67b. y  8x
68a. x = amount of final average salary; y = benefit level 68b. y  3x  $455,999
36
69a. x = amount invested in the stock fund; y = amount invested in the bond fund 69b. x  y  $15,500
70a. x = amount invested in the stock fund; y = amount invested in the bond fund 70b. x  y  $0,500
71a. x = credits required for a program; y = credits that can be paid for by financial aid 71b. y  1.5x
72a. x = total loan amount; y = amount of loan used for agricultural production 72b. y  0.50 x
73a. x = amount of loan; y = amount of loan guaranteed 73b. y  0.80 x
74a. x = amount of loan; y = amount of loan guaranteed 74b. y  0.60 x
75. 2094 cubic inches 76. 10,333 cases 77. 9810 students 78. 0.1 kilogram per hour
79.
80.
81.
[  10, 10, 1;  20, 10, 1]
[  10, 10, 1; 10, 20, 1]
[ 10, 10, 1; 10000, 33000, 5000]
82.
[ 10, 10, 1; 10000, 33000, 5000]
83b.
86b.
84b.
85b.
87a. 1875 products
87b. $18,750
88. 5
1
89. 
8
90. undefined.
37
Summary and Review Chapter 3
1a. x = cost of a belt; y = cost of a shirt
1b. x  y  $95
3.
4a.
4b.
5a. 9 x  y  15
5b. 80x  5 y  3 or 80x  5 y  3
6.
 0,6 
 0,0  14.
8a.
 2,0 
8b.
9a.
 0,6 
9b.
 0, 4
 3,0 
7.
 3,0 
10a.
 0,3
10b. none 11a. none 11b.
12a.
 0,0 
12b.
b, c, d 15. infinitely many solutions
16.
17.
y
y
50
18
45
16
40
14
35
12
30
dollars
20
10
25
8
20
6
15
4
10
5
2
x
0
 2,0 

18.








x
0







Number of burritos




1.5 cups
0.7 in
10 mL
0.2 pint
19
19.
20.
21. negative number 22a.
22b. 10 pints 23. 
1 hr
1 hour
1 min
1 min
3
38
24. 7 25.

2
3
26b. 
27b.
28a. 0 28b.
15
7
2
 0,2 
28c. y  2 29a. undefined 29b. 1,0  29c. x  1
30. undefined 31. x  8 32. y   33a. 9887 FTE 33b.
34a. 22.5 inches
34b.
347 FTE
1 year
35. y  6 x  8
 4177 tons 
36a. y  
 x  ,000,000 tons
 1 day 
36b.  479 days, 0 ton 
36d.
 0 days, 2,000,000 tons 
3
1
37a. y  x 
8
8
3
1 

37c.  0,   37d.  7,0 
8
8

9
9
38a. y   x  9 38b. 
38c. (0, 9)
8
8
38d.  8,0  39a. y  7 39b. 0 39c.  0,7 
37b.
39d. none 40a. y  x 40b. 1 40c.
.5 in
1 hr
34d. 15 inches
43.
40d.
34c.
 0,0 
 0,0 
4
41. y  3x  4 42. y   x  
3
44.
11
1
17
x  36 48. y  9 x  2 49. y  5 50. y   x  51 51. y  x 

4


4
7
16
5
6
52. y   53. y  x 54. y   x  10 55. y   x  6 56. y   x 
57a. 
57b.
58. e
5
5
3
3
6
5
1
7
2
3
19
59. a, d 60a. y  2 x  9 60b. y   x 
61a. y   x  10 61b. y  x 
62a. y  6 x  41
2
2
2
2
3
1
5
3
86 arrests
62b. y   x  20 63a. 
63b.
64a. 8689 arrests 64b.
66. yes 67. yes 68. no
6
3
4
1 year
1
69. no 70. no 71. yes 72. 15 73. 3 74. 4 75. 7 76. 2 77. 2
4
45. a, c 46. y  8x  149 47. y 
39
78.
80a.
79.
Laurie, Judy, Jennifer, Jane
81d. dashed 81e. solid 82. a
84.
80b.
21 yr, 23 yr, 24 yr
81a. dashed 81b. dashed 81c. solid
85.
86.
87.
2
5
x  90. x  1
3
3
91a. x = women who will be diagnosed per year with
D.C.I.S
91b. x  50,000 women
91c.
88. y  2 x  3 89. y 
92a. x  jars of apricot jam; y  jars of raspberry
jam
92b. x  y  12
92c.
y
y
5
14
4
12
3
10
2
8
1
6
x
0



number of women

93a. x = number of collars; y = number of sleeves
93b.  x  5 y  100
4
2
x
0






number of women


40
Test Chapter 3
1.
2.
3.
4.
5.
6.
7.
8.
9.
1
7
x  7 13. y  800 14. y  3x  5 15. y   x  6 17. 4 18. 3

4
$470.49 million
19. 5x  y  51 or 5x  y  51 20 a. $22,092 million 20b.
1 year
10.
5
11.
4
 4,0 
12. y 
41
Answers Cumulative Review Chapters 1 – 3
61
4. 8x2  23x  12 5. the commutative property of addition
6
6. a   b  c   a  b  a  c 7. 17 inches 8. $24.00 9. 30.2 square inches 10. 27,648 square inches 11. 11
1.

, 3, 2, 1,0,1, 2,3,
12. 5 inches 13a. p 

2. 32 3. 5 x 
7
14a. x  21 15a. no solution 16a. a  0 17a. w  315 18a. n  104
6
19a. x  28 20a. v  22 21a. a  5 22.
23.
8
5
24. y  x 
25. A  4D 12 26. x-intercept  8, 0  ; y-intercept  0, 14 
9
3
27.
28.
29.
30.
32.
31b.
3
1
43
16
x  2 34. undefined 35. 
36. 0 37. 11 38. y  7 39. y  x 
40. y  3x  17
2
11
11
3
41. 3.5 inches 42a. yes 43. 42 44a. yes 45. 19% 46. 158,000 newspapers 47. 1664 bankruptcies
48. 42 Americans 49. 1310 Medicare patients 50. 693 adults 51. 13.4 miles
33. y 
42