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Chapter 1
Section 1.1
1. Answers may vary. One possibility: When writing a check. 3. Answers may vary. One possibility: The
whole numbers start at zero, and the counting numbers start at one.
Period
Place
Value
5. ones
ten
seventy
7. thousands hundred seven hundred thousand
9. 400 + 80 + 6 11. 200,000 + 3,000 + 50 + 8 13. Four hundred ninety-eight 15. five hundred seven thousand, ninetythree 17. 207 19. 518 21. 280,034 23. 1,000,426 25. 70 27. 800 29. 200 31. 600 33. 1,700 35. 7,000 37. 2,000 39. 3,000
41. 36,000 43. 700,000 45. 30,000 47. 650,000 49. 600,000 51. 1,000,000 53. 4,000,000 55. 10,000,000 57. The Rialto Unified
School District’s budget revenue was about $214,000,000. 59. The total number of gallons of gas used was about 5,000,000,000.
61. California had about 6,300,000 students enrolled in grades K–12. 63. a one thousand b) ten thousand c) one million
Section 1.2
1. Answers may vary. 3. operations 5. expression 7. factors 9. Associative Property of Addition
11. Answers Identity 13. Commutative Property of Addition 15. 36 17. 28 19. 31 21. 39
23. 5 + (5 + 2)
25. 8 + (2 + 4)
27. 6 + (4 + 5)
29. 9 + (1 + 8)
= 16 + 42 + 5
= 19 + 12 + 8
= 15 + 52 + 2
= 18 + 22 + 4
= 10 + 5
= 10 + 8
= 10 + 2
= 10 + 4
= 14
= 15
= 18
= 12
35. a) 0 b) 8 c) There is no such thing as an Associative
31. 7 + (3 + 6)
33. 5 + (5 + 4)
Property of Subtraction.
= 15 + 52 + 4
= 17 + 32 + 6
= 10 + 4
= 10 + 6
= 14
= 16
Section 1.3
1. Answers may vary. 3. 59 5. 557 7. 887 9. 6,875 11. 62,925 13. 757,597 15. 104,799 17. 1,000,000
19. 104 21. 817 23. 17,011 25. 143,900 27. 252 29. 102 31. 3,312 33. 25 35. 5 37. 54 39. 57 41. 93 43. 73 45. 293
47. 5,425 49. 24,835 51. 6,731 53. 4,293 55. 133,343 57. 193,422 59. Dionne’s total contribution to the two charities was
$2,133. 61. Debbie’s monthly payment was $79 less in 2008 than in 2007. 63. The total amount of the order was $816.
65. Mount Everest is 9,695 feet higher than Mount Kilimanjaro. b) Mount Everest is 2,955 meters higher than Mount
Kilimanjaro. 67. 61 69. 67 71. 1,354 different students attended Bass Lake Community College last summer.
Section 1.4
1. Answers may vary. One possibility is: Every number that ends in 0 (has a 0 in the ones place) is a multiple
of 10 because it can be written as the product of a number and 10. 3. 20 5. 28 7. 36 9. 54 11. 27 13. 35 15. 64 17. 49
19. 240 21. 420 23. 300 25. 2,400 27. 6,300 29. 2,700 31. 36,000 33. 480,000 35. 342 37. 1,849 39. 9,810 41. 88,825
43. 17,136 45. 32,768 47. Commutative Property of Multiplication 49. Associative Property of Multiplication 51. 168 cars
can fit in the parking lot. 53. Ignacio’s truck can go 364 miles before it runs out of gas. 55. Rico spends $1,300 on lottery
tickets in a year. 57. Toby should roast the turkey for 276 minutes. 59. The total price for the 12 computers is $15,468.
61. The area of the basketball court is 4,700 square feet. 63. 360 65. 280 67. 270 69. 810 71. 900 73. 9,900 75. Answers
may vary. One possibility is: For each of the first eight products, it is easiest to multiply an even number by 5 (which gives a
multiple of 10) and then multiply the remaining number(s) by this product. For the last four products, it is easiest to multiply
4 # 25 (which gives 100) and then multiply the remaining number by this product.
Section 1.5
1. Answers may vary. One possibility is: Because division is defined as repeated subtraction. 3. 5 5. 0 7. 4
9. 6 11. 9 13. 7 15. 10 17. 4 19. 15 21. 29 23. 37 25. 13 27. 12 r 7 29. 33 r 1 31. 118 r 7 33. 304 r 2 35. 6,009 r 2 37. 3004
39. 13,050 41. 23 43. 73 45. 1002 r 6 47. 42 49. 84 51. 2,003 53. 1,025 55. Each person paid $23 to attend the concert.
57. Carrie will need 57 boxes for all of the booklets. 59. Each person will run 29 miles. 61. 45 63. 52 65. 60 67. 32
Section 1.6
1. Answers may vary. One possibility is: We subtract the same number (the constant) from each side of the
equation. 3. No 5. Yes 7. n = 13 9. n = 35 11. n = 198 13. n = 123 15. n = 6,106 17. n = 1,101 19. n = 19 21. n = 14
23. n = 13 25. n = 1,480 27. n = 32 29. n = 47 31. n = 4 33. n = 34
Section 1.7
1. Answers may vary. One possibility is: The legend tells what the variable represents in an equation.
3. Answers may vary. One possibility is: The question is asked in a complete sentence, and the answer should be given in a
complete sentence. 5. Nate needs $189 more to pay for the Xbox. 7. Adam will have $265 left to spend on other things.
9. The city must collect $1,371 to equal the costs of operating the pool. 11. They still need to produce 618 copies.
13. Ajay pays $21 each month in union dues. 15. a) He lost an average of 23 pounds each month. b) Lona’s total weight loss
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will be 180 pounds. 17. Aimee pays $4,500 in rent for a full year. 19. The top side is 14 inches long. 21. The length of the
rectangle is 121 yards. 23. The perimeter of the rectangle is 68 inches.
Chapter 1 Review
1. number 2. numeral 3. digits 4. approximation 5. identity 6. factors 7. operations 8. evaluate
9. perimeter 10. Area 11. addition 12. multiple 13. quotient 14. remainder 15. variable 16. coefficient 17. constant
18. solution 19. legend 20. formula 21. 700 + 20 + 4 22. 6,000 + 800 + 7 23. four hundred eight 24. nine thousand, fiftyone 25. two hundred six thousand, five 26. five million, four hundred seventy thousand 27. 107 28. 2,005 29. 508,041
30. 1,000,652 31. 640 32. 300 33. 1,450 34. 3,000 35. 600 36. 30,300 37. 126,500 38. 4,900 39. 31,000 40. 54,000
41. 250,000 42. 1,000 43. In 2003, the total number of full-time airline employees was about 510,000. 44. In 2004, the U.S.
population, was about 294,500,000. 45. Multiplicative Identity 46. Associative Property of Addition 47. Commutative Property
of Addition 48. Additive Identity 49. 16 50. 12 51. 60 52. 530 53. 550 54. 2,032 55. 1,721 56. 10,012 57. 110
58. 2,865 59. Brian burned 682 calories on the exercise bike that morning. 60. Kaira received a total of 256 points on her first
three tests. 61. 564 cm 62. 98 feet 63. 24 64. 141 65. 45 66. 74 67. 647 68. 15,584 69. 848 70. 178 71. 180,207
72. 903,795 73. On average, 3,728 more fans were in attendance at Chicago home games than at Oakland home games.
74. Nevada is 13,844 square miles larger than Michigan. 75. 56 76. 54 77. 28 78. 16 79. 35 80. 12 81. 40 82. 81 83. 120
84. 210 85. 1,800 86. 2,400 87. 7,200 88. 1,600 89. 63,000 90. 10,000 91. 225 92. 376 93. 637 94. 912 95. 1,204
96. 4,592 97. 2,088 98. 58,752 99. Associative Property of Multiplication 100. Multiplication Property of 0 101. Distributive
Property over Addition 102. Commutative Property of Multiplication 103. Marley drove 874 miles to and from work in March.
104. The area of Colin’s basement floor is 646 square feet. 105. 9 106. 7 107. 0 108. 8 109. 8 110. 7 111. 8 112. 9 113. 6 r
6 114. 6 r 1 115. 9 r 2 116. 6 r 2 117. 14 118. 23 119. 42 120. 86 121. 324 122. 171 r 1 123. 597 r 5 124. 314 r 6 125. 26
126. 64 127. 140 128. 3,041 129. 61 r 1 130. 73 r 23 131. 72 r 2 132. 108 r 45 133. Each member’s contribution was
$265. 134. 13 classrooms will be needed. 135. No 136. Yes 137. Yes 138. No 139. n = 8 140. 33 = n 141. 453 = n
142. n = 4,390 143. n = 14 144. 98 = n 145. 1,360 = n 146. n = 36 147. Carlotta’s sales need to be $3,160 on Monday to
reach the $20,000 goal. 148. Rhani will pay her parents $125 each month. 149. On average, Antonio earned $19 in tips from
each table. 150. The length of the carpet is 27 yards.
Chapter 1 Test
1. 700 2. 10,000 3. 580,000 4. Three hundred thousand, forty-five. 5. 23,604,015. 6. 8,640 7. 4,505
8. 558 9. 28 10. Multiplicative Identity 11. Distributive Property (of Multiplication over Addition) 12. Associative
Property of Addition 13. Commutative Property of Addition 14. n = 15 15. n = 49 16. n = 19 17. Alfre needs another
126 signatures to reach 500. 18. The length of the sandbox is 25 yards. 19. Jerry spent $168 on his team’s tickets. 20. Each
member raised an average of $215.
Chapter 2
Preparation Exercises
1. 54 2. 32 3. 35 4. 27 5. 80 6. 2,400 7. 560 8. 180 9. 4,000 10. 12,000 11. 336 12. 833
13. 9 14. 9 15. 13 16. 25 17. 24 18. 36 19. 44 20. 106
Section 2.1
1. When a cube measures 2 units on each side, it contains 23 = 2 # 2 # 2 = 8 unit cubes. 3. 6 # 6 # 6 = 216
5. 15 # 15 = 225 7. 12 9. 4 # 4 # 4 = 64 11. 10 # 10 = 100 13. 10 # 10 # 10 # 10 # 10 = 100,000 15. 105 17. 101 19. 106 21. 109
23. 3 # 102 25. 4 # 105 27. 8 # 106 29. 6 # 108 31. 63 # 101 33. 52 # 103 35. 48 # 102 37. 85 # 105 39. 351 # 103 41. 706 # 104 43. 7
45. 6 47. 9 49. 12 51. 64 53. 27 55. 4 57. 6
Section 2.2
1. Yes. When the addition is within grouping symbols and multiplication is not, addition is to be applied
before multiplication. 3. 7 5. 26 7. 10 9. 45 11. 72 13. 8 15. 45 17. 51 19. 93 21. 72 23. 8 25. 18 27. 10 29. 36 31. 45
33. 31 35. 11 37. 12 39. 25 41. 78 43. 4 45. 3 47. 6 49. 5
Section 2.3
1. 212° F. This temperature is the boiling point for water. 3. 41° F 5. 10° C 7. z = 3 9. a = 8 11. P = 42
13. A = 18 15. W = 8 17. P = 30 19. Mai’s average rate of speed was 67 miles per hour. 21. Bertie’s average rate of speed was
59 miles per hour. 23. It should take Hank 9 hours to complete the trip. 25. Padam will need to average 64 miles per hour.
27. a. The difference in the two cities’ high temperatures was 54° F. b. The difference in the two cities’ high temperatures was 30° C.
Section 2.4
1. Not necessarily. The number may have a prime factor besides 2, 3, and/or 5. (In fact, 169 = 13 # 13.)
3. To determine whether 21 is a factor of a number, we need to know if 3 and 7 are factors of the number. 5. 4, 8, 12, 16, 20, 24,
28, and 32 7. 7, 14, 21, 28, 35, 42, 49, and 56 9. 1 and 32; 2 and 16; 4 and 8 11. 1 and 28; 2 and 14; 4 and 7 13. 2 15. none
17. 2 19. 5 21. 3 and 5 23. 2 and 3 25. 3 27. 2, 3, and 5 29. No 31. Yes 33. . . . 5 # 13 = 65 is a composite factor of 715.
35. . . . 6, 14, 21, and 42 are composite factors of 966. 37. Prime: 7, 23, and 29; Composite: 9, 40, and 51; Neither: 0
39. 3 and 6 41. 3 and 12 43. 5 and 4 45. 6 and 6 47. 3 # 17 49. 7 # 17
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Answers
A-3
Section 2.5
1. Because 1 is not a prime number, it cannot be used in any prime factorization. 3. 2 # 3 # 3 = 2 # 32
2#
#
#
5. 3 3 7 = 3 7 7. 3 # 5 # 7 = 3 # 5 # 7 9. 2 # 2 # 2 # 2 # 31 = 24 # 31 11. 2 # 2 # 2 # 2 # 3 # 3 # 5 = 24 # 32 # 5
13. 3 # 3 # 3 # 5 # 7 = 33 # 5 # 7 15. 2 # 2 # 5 = 22 # 5 17. 2 # 2 # 13 = 22 # 13 19. 2 # 2 # 19 = 22 # 19 21. 2 # 7 # 7 = 2 # 72
23. 2 # 2 # 31 = 22 # 31 25. 2 # 2 # 2 # 5 # 5 = 23 # 52 27. 2 # 2 # 2 # 2 # 3 # 5 = 24 # 3 # 5 29. 3 # 3 # 5 # 7 # 7 = 32 # 5 # 72
Section 2.6
1. Yes. Two different prime numbers have only 1 as a common factor; so, the numbers must be relatively
prime to each other. 3. 3 # 5 = 15 5. relatively prime 7. 2 # 3 = 6 9. 2 # 2 # 2 # 3 = 24 11. 22 # 32 = 36 13. 22 # 3 # 5 = 60
15. 32 # 71 = 63 17. 15 19. 2 21. 5 23. 14 25. 50 27. 35 29. 30 31. relatively prime 33. 15 35. 8 37. 21 39. 90 41. 3
43. 8 45. 21
Chapter 2 Review
1. exponent 2. base 3. radical 4. prime 5. composite 6. relatively prime 7. 1 # 1 # 1 # 1 # 1 # 1 = 1
#
#
#
#
8. 2 2 2 2 = 16 9. 3 3 # 3 # 3 # 3 = 243 10. 4 # 4 # 4 = 64 11. 16 = 16 12. 17 # 17 = 289 13. 20 # 20 # 20 = 8,000
14. 10 # 10 # 10 # 10 # 10 # 10 # 10 = 10,000,000 15. 103 16. 107 17. 105 18. 101 19. 7 # 101 20. 84 # 102 21. 3 # 105 22. 12 # 105
23. 6 24. 2 25. 3 26. 10 27. 14 28. 12 29. 7 30. 16 31. 6 32. 4 33. 17 34. 21 35. 9 36. 23 37. 30 38. 0 39. 16 40. 9
41. 30 42. 16 43. 9 44. 3 45. 5 46. 8 47. 212° F 48. 59° F 49. 50° C 50. 15° C 51. A = 84 52. W = 16 53. A = 25
54. z = 2 55. b = 12, a = 5 56. C = 6 57. Tracey’s average rate of speed was 13 miles per hour. 58. Timara can fly 870
miles in 6 hours. 59. It will take Charles 9 hours to get there. 60. Peetey’s average rate of speed was 29 centimeters per
minute. 61. 3, 6, 9, 12, and 15 62. 6, 12, 18, 24, and 30 63. 11, 22, 33, 44, and 55 64. 12, 24, 36, 48, and 60 65. 1 and 18;
2 and 9; 3 and 6 66. 1 and 36; 2 and 18; 3 and 12; 4 and 9; 6 and 6 67. 1 and 45; 3 and 15; 5 and 9 68. 1 and 60; 2 and 30; 3
and 20; 4 and 15; 5 and 12; 6 and 10 69. 17, 29, and 11; 15, 81, and 45; 0 70. 2, 61, 43, and 31; 70, 62, and 57; 1 71. 3 and 5
72. None 73. 2 74. 2, 3, and 5 75. 3 76. 2 and 5 77. 5 78. 2 and 3 79. Yes 80. Yes 81. No 82. Yes 83. 3 # 13 = 39 is a
composite factor of 741. 84. 5 # 7 = 35 is a composite factor of 1,505. 85. 2 # 2 # 2 # 2 = 24 86. 2 # 2 # 11 = 22 # 11
87. 2 # 5 # 5 = 2 # 52 88. 2 # 2 # 2 # 2 # 2 # 3 = 25 # 3 89. 5 # 5 # 5 = 53 90. 2 # 2 # 3 # 3 # 5 = 22 # 32 # 5 91. 5 # 5 # 13 = 52 # 13
92. 5 # 5 # 7 # 7 = 52 # 72 93. 5 94. 8 95. 14 96. 18 97. Relatively prime 98. 6 99. 12 100. 15 101. 30 102. 24 103. 45
104. Relatively prime 105. 22 = 4 106. 31 # 52 = 75 107. 21 # 32 # 71 = 126
Chapter 2 Test
1. 5 # 5 # 5 = 125 2. 20 # 20 = 400 3. 74 # 104 4. 9 # 102 5. 4 6. 9 7. 27 8. 17 9. 50 10. 203° F
11. 35° C 12. A = 25 13. It will take Rogelio 7 hours to get there. 14. 41, 19, and 2; 77 and 38; 1 15. 3 and 5 16. 2 and 3
17. None 18. 2 19. 2 # 2 # 3 # 7, 22 # 3 # 7 20. 2 # 2 # 2 # 2 # 5, 24 # 5 21. 2 # 2 # 3 # 3 # 3 # 5, 22 # 33 # 5 22. 8 23. 9 24. 14
Chapters 1 and 2 Cumulative Review 1. Seventy thousand 2. Five hundred thousand, twenty-six 3. 500
4. 8,000 5. 8,000 6. 210,000 7. Commutative Property of Multiplication 8. Additive Identity 9. Distributive Property of
Multiplication over Addition 10. Associative Property of Addition 11. 3,036 12. 2,001 13. 875 14. 9,429 15. 112 cm
16. 262 in. 17. 450 yd2 18. Gore received 254,921 more votes than Bush. 19. 56,000 20. 4,620 21. 47 r 3 22. 52 23. Lydia
photocopied a total of 510 pages. 24. Each teacher received 12 whiteboard markers. 25. n = 27 26. 35 = n 27. Ben and
Adrian need to raise $113 on Sunday to meet their goal. 28. Each girl received 35 Red Vines. 29. 729 30. 625 31. 104 32. 109
33. 6 # 104 34. 52 # 105 35. 8 36. 11 37. 7 38. 147 39. 8 40. 34 41. 140° F 42. 45° C 43. a = 6 44. C = 4 45. The jet’s
average speed was 435 miles per hour. 46. Jasper will go 285 miles. 47. 5, 31, and 43; 18 and 55; 1 48. 2, 3, and 5 49. None
50. 2 and 3 51. 3 and 5 52. Yes 53. Yes 54. 2 # 17 = 34 is a composite factor of 816. 55. 2 # 2 # 2 # 3 # 7 = 23 # 3 # 7
56. 2 # 2 # 3 # 5 # 5 = 22 # 3 # 52 57. 16 58. 21
Chapter 3
Preparation Exercises
1. 15 2. 1 3. 12 4. 24 5. 24 6. 36 7. 36 8. 40 9. 40 10. 60 11. 60 12. 18 13. 18
14. 14 15. 19 16. n = 6 17. n = 12 18. 18 = n 19. 22 20. 20 21. 12 22. GCF = 5 23. GCF = 8 24. GCF = 18
Section 3.1
1. No. Because the two parts are not of equal size, the diagram does not represent 21 . 3. Improper fraction
1
5. Complex fraction 7. Mixed number 9. Improper fraction 11.
0
3
4
1
13.
0
7
16
1
15.
6
14
0
1
2
3
4
17.
3 10
0
1
2
1
3 32 4
22
21
61
19. 2 # 41 ; two-fourths 21. 3 # 81; three-eighths 23. 45; four-fifths 25. 117 ; seven-elevenths 27. 139 29. 198 31. 103 33. 32
7 35. 4 37. 10 39. 3
39
95
123
1
1
3
1
3
2
2
5
8
9
8
35
7
1
45
41. 4 43. 8 45. 8 47. 2 5 49. 3 4 51. 3 7 53. 3 3 55. 2 8 57. 6 5 59. 7 5 61. 11 7 63. 45 65. 25 67. 15 69. 48 71. 6 = 1 6 73. 8 = 5 58
2
70
42
75. 60
77. 120
79. 120
81. 8 98 83. 6 125
Section 3.2
1. No. The 2’s are not multiplied; so, it is not possible to divide them out. 3. 53 5. 49 = 2 41 7. 43 = 113 9. 83 11. 41
13. 25 = 2 21 15. 23 17. 49 19. 25 = 2 21 21. 29 23. 5 25. 7 27. 5 29. 31 31. 114 33. 23 35. 135 = 2 53 37. 31 39. 65 41. 165 = 3 51 43. 1 45. 43
47. 83 49. 23 51. 23 53. 9 55. 4 57. 32 59. 154 61. 458
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Section 3.3
4
25
1. ft is feet; mi is miles; in. is inches; yd is yards; cm is centimeters; km is kilometers; m is meters. 3. 45
5. 42
21
7. 65 9. 285 11. 61 13. 31 15. 334 17. 50
19. 6 21. 25 23. 356 25. 45 27. 10 29. 6 31. 143 33. 20 35. 4 21 37. 5 65 39. 32 41. 45 43. 19 21
1
45. 16 21 47. 152 49. 163 51. 83 53. 6 55. 18 57. 1,000
59. 143 61. 153 63. 145 65. One-sixth of a cup of laundry detergent will wash 41 of a
load. 67. Pedro must get 36 questions correct to pass the class. 69. The middle of the logo is 2 163 inches from the side and
1 78 inches from the bottom. 71. 8 in.2 73. 53 mi2 75. The canvas is 29 23 inches high and 39 43 inches wide.
Section 3.4
1. improper fraction. In a proper fraction, the numerator is less than the denominator. For its reciprocal, the
21
denominator is less than the numerator, making it an improper fraction. 3. 53 5. 6 7. 81 9. Undefined 11. 10
13. 23 15. 23 17. 23 19. 45
3
15
6
2
12
27
1
1
3
5
4#5
5
#1
21. 45 23. 16
9 25. 4 27. 8 29. 5 31. 3 33. 1 35. 115 37. 4 39. 25 41. 12 43. 17 45. 14 47. 5 4 = 1 49. 7 7 = 1 51. 70 53. 6 55. 8
5
9
7
7
27
57. 23 59. 101 61. 24
63. 10
65. 25
9 = 2 9 67. 10 = 2 10 69. 4 71. 12
Section 3.5
1. Yes, the whole number can be written as a fraction, and this fraction has a reciprocal. 3. n = 23 5. n = 23
1
2
1
18
7. n = 53 9. n = 83 11. n = 43 13. n = 43 15. n = 10 17. n = 8 19. n = 10
9 , or 19 21. n = 3 23. n = 2 25. n = 35 27. n = 6
29. n = 10 31. n = 2 21 33. n = 58 35. n = 23 37. n = 7 39. n = 65 41. n = 6 23 43. Marnay gives 10 lessons each day.
1
45. Each dose will contain 4 cup of cough syrup. 47. One spool will make 9 bows. 49. Yuan must complete 20 afternoon
1
sessions to receive her certificate. 51. It takes Tim 6 4 hours to clean all 25 classrooms. 53. n = 8 55. n = 11
Chapter 3 Review Exercises
1. Mixed number 2. Improper fraction 3. Complex fraction 4. Proper fraction 5. 158 6. 319
31
51
3
2
7
1
15
7
63
7
28
13
1
1
2
2
3
3
7. 6 8. 4 9. 4 5 10. 4 3 11. 7 9 12. 8 2 13. 28
14. 27
10 = 210 15. 8 = 7 8 16. 15 = 115 17. 3 18. 4 19. 9 20. 5 21. 11 22. 4
14
23. 73 = 2 13 24. 49 = 2 41 25. 25 = 2 21 26. 45 = 141 27. 25 = 2 21 28. 49 = 2 41 29. 41 30. 25 31. 6 32. 8 33. 157 34. 31 35. 53 36. 27
7
3
1
21
1
5
9
5
49
1
38
3
23
1
37. 9 38. 14 39. 20 40. 20 = 120 41. 6 42. 6 43. 5 44. 20 45. 9 46. 6 47. 4 = 12 4 48. 5 = 7 5 49. 45 50. 2 = 112
51. 70 52. 32 53. 152 54. 75 55. 101 56. 27 = 3 21 57. 53 = 123 58. 27 = 3 21 59. There are 28 women in Ms. Grecu’s class. 60. There are
11
= 1101 68. 1 69. 27 70. 6 71. 27 = 3 21
8 pounds of meat in 12 patties. 61. 9 in.2 62. 3 yd2 63. 49 64. 8 65. 41 66. Undefined 67. 10
1
9
9
3
1
6
1
10
1
2
5
2
72. 103 = 3 13 73. 134 = 3 41 74. 141 75. 103 76. 16
15 = 115 77. 3 78. 28 79. 16 80. 2 = 12 81. 5 = 15 82. 3 = 3 3 83. 3 84. 6 85. 9
16
1
3
1
1
3
1
4
7
4
86. 3 = 5 3 87. n = 2, or 12 88. n = 4 89. n = 2, or 12 90. n = 3 91. n = 10 92. n = 5 93. n = 20 94. n = 21
2
15
6
4
1
6
1
95. n = 65, or 151 96. n = 154, or 3 43 97. n = 20
3 , or 6 3 98. n = 16 99. n = 7 100. n = 3 , or 13 101. n = 3 102. n = 5 , or 1 5
2
103. Tanya should run 6 3 miles each day next week. 104. Dimitri must work 24 Saturdays to fulfill his 80-hour obligation.
105. Seven portraits can fit on the wall side by side.
Chapter 3 Test
3
38
7
1
15
1
1. 375 2. 15
3. 7 43 4. 7 73 5. 10
6. 25 = 2 21 7. 2 8. 26 9. 43 10. 21 11. 21
2 = 10 2 12. 46 13. 2 , or 7 2 14. 2 , or
121 15. 1123 yd2 16. 5 41 ft2 17. 23 18. 154 19. 125 = 2 25 20. n =
24. Each chocolate bar weighs
141
2
3
21. n =
5
6
22. n =
2
3
23. The original picture is 8 inches high.
pounds.
Chapter 4
Preparation Exercises
1. 326 2. 151 3. 5 4. 87 5. 6, 12, 18, 24, and 30 6. 9, 18, 27, 36, and 45 7. 3 # 3 # 5
#
#
#
8. 2 2 3 5 9. 12 10. 18 11. 25 and 36 are relatively prime. 12. 21 and 14 are not relatively prime. 13. 173 14. 139 15. 4 53
11
16. 1 18
17. 25 18. 45 19. 125 20. 23
Section 4.1
1. Answers may vary. One possibility: No, the list of common multiples of 6 and 15 goes on forever. 3. 12
5. 28 7. 30 9. 60 11. 40 13. 85 15. 60 17. 150 19. 12 21. 30 23. 42 25. 252 27. 96 29. 75 31. 90 33. 300
35. 180 37. 600 39. 36 41. 105 43. 180 45. 90 47. 60 49. 180 51. 240 53. 360 55. 180 57. 180 59. 210
Section 4.2
1. No. 68 and 43 are equivalent fractions; but because they have different denominators, they are not like
3
5
7
21
54
12
* 33 = 30
* 55 =
fractions. 3. 2 and 29 , 46 and 44, 51 and 115, 98 and 119 5. 10
7. 49 * 22 = 188 9. 79 * 66 = 42
11. 154 * 33 = 45
13. 20
30
7
5
35
8
4
32
6
5
9
8
15. 83 * 10
10 = 80 17. 12 * 5 = 60 19. 25 * 4 = 100 21. 15 and 15 are like fractions 23. 12 and 12 are like fractions
4
15
3
12
14
and 24
are like fractions 27. 184 and 183 are like fractions 29. 30
25. 24
36 and 36 are like fractions 31. 18 and 18 are like fractions
15
28
5
3
2
9
2
33. 16
36 and 36 are like fractions 35. 60 and 60 are like fractions 37. 8 and 8 are like fractions 39. 15 and 15 are like fractions
27
22
25
34
41. The LCM of 4 and 18 is 36. 36 and 36 are like fractions 43. The LCM of 14 and 35 is 70. 70 and 70 are like fractions
15
100
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Page A-5
Answers
A-5
Section 4.3
1. Answers may vary. One possibility: No. Simplifying 108 would make the denominator different from the
1
fraction 10 ; then the fractions could not be combined. 3. 21 5. 118 7. 41 9. 0 11. 53 13. 21 15. 1 17. 1 13 19. 91 21. 73 23. 1 25. 1 13
7
27. 53 29. 13 31. 1 27 33. 123 35. 116 37. 51 39. 1 25 41. 1 21 43. 43 45. 103 47. 25 49. 21 51. 12
53. 21 55. 1 57. 1 13 59. 1 47 61. 25 63. 43
1
1
3
1
1
1
65. 1 5 67. 4 69. 10 71. 4 73. The perimeter is 2 2 inches. 75. The perimeter is 2 4 feet. 77. 7 25 79. 5 21 81. 11 83
Section 4.4
1. Yes. We can add fractions as long as the denominators are the same. If both denominators are 60, we can
9
15
7
7
1
1
23
19
2
5
1
add them together and simplify the result. 3. 10
5. 1 151 7. 23
36 9. 16 11. 24 13. 18 15. 2 17. 1 12 19. 2 21. 30 23. 28 25. 1 6 27. 9
21
5
11
11
1
29. 1 24
31. 1 83 33. 50
35. 1 95 37. 103 39. 1 20
41. 1 18
43. 1 23 45. 1 49 47. 1 24
49. 58 51. 23 53. 41 55. There are 1 83 pounds of meat in
1
this recipe. 57. The thickness of the top board must be 1 8 inches. 59. Shari must pour 83 of a cup of milk from a new carton.
1
61. The perimeter is 2 20
miles. 63. The perimeter is 3 103 feet. 65. 91 67. 58
Section 4.5
1. Answers may vary. One possibility: There might be an error when multiplying a whole number by the
denominator when converting the mixed number to an improper fraction. 3. 9 45 5. 12 79 7. 25 58 9. 25 187 11. 12 13. 14 15. 37 21
7
17. 5 21 19. 10 125 21. 21 49 23. 18 24
25. 66 125 27. 10 41 29. 14 51 31. 9 98 33. Katie needs a total of 5 58 yards of material for the two
projects. 35. Toni has 4 121 cups of mixture 37. Giselle worked 7 125 hour that day. 39. The perimeter is 16 121 feet. 41. The
9
perimeter is 12 25
miles. 43. 16 21 45. 6 23
Section 4.6
1. Because we combined only two mixed numbers at a time. The first two mixed numbers combined to result
in a simplified fraction, 21 . When 21 was combined with the third mixed number, 3 81, the LCD was 8, not 24. 3. 2 95 5. 9 47 7. 1 25
9
13
11
13
11
1
9. 1 25 11. 3 13. 2 15. 2 20
17. 1 36
19. 2 25 21. 6 95 23. 4 95 25. 7 15
27. 4 13 29. 3 45 31. 1 43 33. 7 58 35. 5 24
37. 11 12
39. 6 20
41. 6 79
7
3
5
43. 30 45. Sanjeer took 11 8 pounds to be recycled. 47. There are 14 8 yards of fabric left on the bolt. 49. Kaitlin needs to be
1 43 inches taller. 51. Qeesha owned 3 79 acres after the sale. 53. 13 55. 1 61 57. n = 2 121 feet
7
21
3
15
9
36
5
4
7 = 28 8. 8 * 3 = 24 9. 5 * 9 = 45
20
80
8
25
21
39
7 2
9
6 9
8
1
4
5
28
20
8
6
11
3
4
3 * 20 = 60 11. 20 and 20 12. 40 and 40 13. 45 and 45 14. 60 and 60 15. 5 and 5 , 6 and 6 16. 9 and 9 , 8 and 8 17. 4 18. 1 3 19. 5
23
11
17
7
1 25 21. 1 21 22. 1 103 23. 125 24. 45 25. 21 26. 53 27. 1 81 28. 25 29. 24
30. 103 31. 12
32. 1 83 33. 2 61 34. 1 98 35. 61 36. 61 37. 24
38. 30
7
1 41 40. 41 41. D’Neice had 21 of a pizza left over. 42. Mary burned 10
of a cord of wood during the winter. 43. 6 23 44. 7
9
12 187 46. 3 41 47. 10 41 48. 7 81 49. Marco worked 14 23 hours that weekend. 50. 4 20
inches of rain fell in Garberville on that day.
1
11
3
3
1
3
3
5 6 52. 4 36 53. 8 10 54. 3 5 55. 5 5 56. 8 57. Marika gained 16 8 pounds during her first year. 58. There are 2 65 yards of fabric
Chapter 4 Review Exercises
10.
20.
1. 18 2. 72 3. 54 4. 120 5. 42 6. 120 7. 43 *
39.
45.
51.
left on the bolt.
3
32
28
15
9
7
13
Chapter 4 Test
1. 60 2. 72 3. 70 4. 120 5. 24
and 24
6. 40
and 40
7. 23 8. 83 9. 1 20
10. 36
11. 5 23 12. 10 61 13. 2 95 14. 124
1
3
5
3
15. 6 16. 2 4 17. Ricardo grew a total of 1 16 inches those two months. 18. Digron’s share price increased 1 8 points that week.
11
19. It rained 1 20
inches more that day. 20. Timina walked a total of 8 29
30 miles that week.
Chapters 1–4 Cumulative Review
1. Four thousand, thirty-two 2. 1,000 3. 210,000 4. Multiplicative Identity
5. Distributive Property of Multiplication over Addition 6. 1,639 7. 18,392 8. The perimeter is 338 feet. The area is 7,050 ft2.
9. 54,000 10. 26 r 4 11. On average, each hen produced 18 eggs that month. 12. 225 13. 105 14. 7 # 103 15. 23 16. Curtis’s
3
average speed was 52 miles per hour. 17. 2 # 2 # 3 # 3 # 3 = 22 # 33 18. 12 19. 103 20. 23 21. 21 22. 49 23. 1 78 24. 43 25. 73 26. 20
11
1
1
1
2
4
27. 12 28. 6 6 29. 1 2 30. 2 3 31. n = 87 32. n = 45 33. n = 3 34. n = 9 35. 84 36. 150 37. Each team member must run
1 43 miles in the relay. 38. The design will appear 7 21 inches across and 6 41 inches high. 39. Sondra has 6 125 cups of flour.
7
40. Kahlil surpassed his previous best mark by 1 16
inches.
Chapter 5
Preparation Exercises
10. 1,560 11. 47 12. 35
Section 5.1
1. One thousand, sixty-three 2. 507 3. 71,000 4. 7,000 5. 617 6. 709 7. 577 8. 1,847 9. 1,016
112
= 0.112. One hundred and twelve-thousandths is the mixed number
1. One hundred twelve-thousandths is 1,000
12
= 100.012. 3. hundredths 5. mixed number 7. True 9. False 11. Three-tenths 13. Three 15. Five-tenths
100 1,000
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Answers
15
17. Eight-thousandths 19. Eight and two-tenths 21. Thirty-five and eight-tenths 23. Three and three-tenths 25. 100
and 0.15
173
35
3
4
27. 210 and 2.3 29. 1,000 and 0.035 31. 29 10 and 29.4 33. 1,000 and 0.173 35. 0.4 37. 0.625 39. 0.7 41. 7.8 43. 0.09 45. 0.004
9
34
593
2,817
8
4
52
1
25
955
308
55
8
47. 4.09 49. 20.7 51. 10
53. 100
55. 1,000
57. 10,000
59. 100
61. 100
63. 1,000
65. 1,000
67. 10
or 2 105 69. 100
or 9 100
71. 100
or 3 100
5,284
284
73. 1,000
or 5 1,000
75. 0.3 77. 0.528 79. 10.3692 81. 0.555 . . . 83. 2.470470470 . . . 85. 0.58101010 . . . 87. 0.78 89. 0.08
Section 5.2
1. The rounding digit must be in the ten thousandths place. 3. 11.6 5. 10.6 7. 2.0 9. 3.0 11. 1.26 13. 1.39
15. 14.07 17. 18.05 19. 4.20 21. 4.00 23. 0.46 25. 0.39 27. 6.084 29. 1.010 31. .216 33. .340 35. .317 37. .300 39. $5.96
41. $14.04 43. $5.99 45. $108.00 47. $6.00 49. $3.80 51. 31 53. 83 55. 215 57. 1 59. $31 61. $20 63. $30 65. $100
67. Yat-Sun’s GPA is 3.5. 69. Gabriella’s average monthly electric bill is $53.85. 71. Hank Aaron’s batting average in 1969
was .300. 73. 0.5 75. 0.02 77. 0.022
Section 5.3
1. When we line up the decimal points, all of the other places align as well. 3. 0.828 5. 1.501 7. 0.79
9. 20.41 11. 1.13 13. 20 15. 4.016 17. 10.006 19. 26.778 21. 22.437 23. 7.08 25. 5.453 27. 5.4 29. 0.55 31. 5.41 33. 2.972
35. 1.4 37. 5.71 39. 9.309 41. 5.47 43. $5.75 45. $11.96 47. $16.09 49. $2.40 51. The total is $39.05. 53. The combined
weight of the two turkeys was 35.07 pounds. 55. The increase in the price of regular gasoline in those two months was $0.54 per
gallon. 57. 4.078 miles 59. The time on Marcia’s second lap was 18.87 seconds. 61. The third side is 0.444 inches long.
63. 5.72 65. 2.16 67. 3.93 69. 1.47 71. 0.67 73. Answers may vary. One possibility, Samantha didn’t line up the decimal
points; so, she was adding digits with different place values. She should have lined up the decimal points and placed two zeros at
the end of the second number. 75. 6 * 3.2 = 19.2 (3.2 + 3.2 + 3.2 + 3.2 + 3.2 + 3.2 = 19.2)
Section 5.4
1. Answers may vary. One possibility: When we multiply decimals, we treat them like whole numbers. This
means that the position of the decimals point doesn’t matter while we are multiplying. 3. 7.2 5. 0.36 7. 0.028 9. 2.1 11. 3.2
13. 0.48 15. 0.48 17. 5.49 19. 1.43 21. 0.034 23. 0.088 25. 0.008 27. 0.006 29. 0.0045 31. 0.00248 33. 0.0008 35. 0.1206
37. 0.90 = 0.9 39. 0.80 = 0.8 41. 1.00 = 1 43. 0.520 = 0.52 45. 1.500 = 1.5 47. 9.100 = 9.1 49. 0.170 = 0.17 51. 16.014
53. 20.00 = 20 55. 0.0520 = 0.052 57. 119 59. 8 61. 90.6 63. 376 65. 8 67. 120.6 69. 480 71. 401 73. 8,050 75. 1,300
77. 750 79. 39,000 81. Steve must pay a total of $25.21 for the batteries. 83. Tanner must pay a total of $85 for the card.
85. 0.0144 87. 0.0009 89. 0.008
Section 5.5
1. It is necessary to place extra zeros at the end of the dividend when the divisor does not divide exactly into
the dividend. 3. 0.9 5. 12.3 7. 9.67 9. 0.19 11. 0.164 13. 0.534 15. 0.405 17. 0.0665 19. 1.56 21. 0.53 23. 0.309 25. 0.0326
27. 3.6 29. 1.17 31. 3.96 33. 70 35. 800 37. 20 39. 0.42 41. 0.1782 43. 0.505 45. 0.663 47. 0.1875 49. 0.248 51. 2.5
53. 1.75 55. 1.6 57. 0.375 59. 0.65 61. 0.68 63. 0.83 65. 1.2 67. 0.81 69. 0.53 71. 0.108 73. 0.428571 75. His batting
average was .351 that season. 77. His scoring average for that season was 50.4 points per game. 79. The team’s winning
average is .875. 81. The pitcher’s ERA is 3.57.
Section 5.6
1. 102 minutes. Multiply 1.7 times 60. (The whole number 1 indicates a full hour, 60 minutes; and the decimal
indicates seven-tenths of an hour.) 3. Jaime earns $118 each day. 5. Andy earns $280.50 each week. 7. Li earns $8.56 per hour.
9. DuJuan earned, on average, $19.25 each hour. 11. The area of the dance floor is 1,239.75 square feet. 13. The width of the
pool house is 10.5 feet. 15. The circumference of the tabletop is about 22.0 feet. 17. The radius of the lobby is about 12.5 feet.
19. The price of each orange was $1.15. 21. The price of each can of soup was $2.05. 23. Ricky’s car can travel 240.3 miles on
a full tank of gas. 25. Milo’s car averaged 28.4 miles per gallon that day. 27. Linda’s average rate of speed is 28 miles per hour.
29. It takes DeMarco 1.6 hours to reach the beach. 31. Each person pays $22.36. 33. On Sunday, Gabriella’s hourly pay is
$12.78. 35. a) Beyond 40 hours, Cesar’s hourly wage is $12. b) Cesar worked a total of 46 hours last week.
Chapter 5 Review
1. decimal 2. thousandths 3. whole, number 4. dividend 5. Seven-tenths 6. Seven-thousandths
12
8
7. Seventeen-thousandths 8. Forty and six-tenths 9. Five hundred nine and one-tenth 10. 1,000
and 0.012 11. 50 100
and 50.08
76
1
208
8
12. 1,000 and 0.076 13. 0.72 14. 0.008 15. 100 16. 100 or 2 100 17. 1.5 18. 2.614 19. 0.512512512 . . . 20. 4.0167167167 . . .
21. 24.0 22. 1.52 23. 1.500 24. Julia’s average daily electricity usage for March was 7.036 kilowatt-hours. 25. $28.79
26. $0.40 27. $8.90 28. $25.00 29. $128 30. $50 31. 7.08 32. 1.205 33. 21.631 34. 21.517 35. 1.54 36. 2.619 37. 7.8
38. 1.051 39. The total weight of the four bags of candy was 4.617 pounds. 40. Jenny received $13.16. 41. The perimeter is
5.475 feet. 42. The length is 2.31 yards. 43. 0.12 44. 0.072 45. 4.2 46. 0.438 47. 24 48. 0.1134 49. Jamal must pay a total of
$1,290 for the TV. 50. 141.2 51. 291 52. 1,691 53. 80.4 54. 89 55. 6.65 56. 2.616 57. 5.7 58. 7.2 59. 0.0706 60. 0.056
61. 0.8 62. 0.16 63. 0.3125 64. 0.270 65. During the 2006–2007 season, the Tar Heels’ winning average was .824. 66. During
2007, the Wizards scored an average of 1.4 goals per game. 67. Wes earns $52.50 for a 6-hour shift. 68. The circumference of
the snare drum is about 40.8 inches. 69. Carmen’s average walking rate was 3.8 miles per hour. 70. Tom and Margaret will pay
$156.05 each month.
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Page A-7
Answers
A-7
Chapter 5 Test
1. Five-thousandths 2. Eight and three-hundredths 3. One hundred twenty-nine thousandths 4. 50.08
61
5. 0.008 6. 0.09 7. 1,000
8. 49 9. 6.0 10. $12.90 11. $354 12. 5.625 13. 0.892 14. 21 15. 380 16. 0.883 17. 2.8 18. 0.875
19. 0.36 20. His batting average was .363 that season. 21. JonRey received $12.82. 22. Silvia’s car averaged 22.5 miles per
gallon that week. 23. The length of the quilt is 5.5 feet. 24. The circumference of this circle is about 31.4 feet. 25. The length
of the third side of this triangle is 4.87 inches.
Chapter 6
Preparation Exercises
18
28
60
8
1. n = 9 2. n = 37 3. 25
4. 25 5. 100
6. 100
7. 100
=
2
25
12
8. 10
=
6
5
9. 0.019 10. 0.04 11. 3.56
12. 8.20 13. 11.7 14. 0.4326 15. 37 16. 9 17. 7,150 18. 4.5 19. 0.49 20. 212.5 21. 0.383 22. 0.875 23. 0.81 24. 0.13
Section 6.1
miles
2 dollars
1. As fractions, A : B and B : A are reciprocals: AB and AB . 3. units of measure. 5. divided by 7. 60
1 gallon 9. 3 tickets
miles
laps
11. 351 hour
13. 103minutes
15. 7 people per van 17. 23.4 miles per gallon 19. 9 lemons for every 5 dollars 21. 1 boy for every
feet
2 girls 23. 24
32 feet =
35.
d)
d)
6 hours
50 miles
120 liters
9.6 liters
3
1
25 miles
4
12 liters
63
12.6 degrees
4 25. 30 hours = 5 27. 4 hours = 2 hours 29. 30 liters = 1 31. 0.8 hours = 1 hour 33. 0.4 degrees = 2
12 years
375 square miles
1
3
$90
3
$30
1
$90
3
84 years = 7 37. 250 square miles = 2 39. a) $90: $30; $30 = 1 b) $30: $90; $90 = 3 c) $90: $120; $120 = 4
$30
4
$360
3
$480
4
$30: $120; $120
= 41 41. a) $480: $360; $480
$360 = 3 b) $360: $480; $480 = 4 c) $480: $840; $840 = 7
$360
$360: $840; $840
= 73 43. 36 = 36; Yes 45. 40 Z 60; No 47. 18 Z 24; No 49. 1.5 = 1.5; Yes 51. n = 45 53.
n = 35
Section 6.2
1. No. In a rate, the units of measure are always different; so, they will never divide out. 3. True 5. denominator
65 stitches
1 supervisor
gallons
; 21 gallons for every 4 weeks 11. 6 employees ; 1 supervisor for every
7. 1 inch ; 65 stitches per 1 inch 9. 214 weeks
15 pounds
64 voters
6 employees 13. 2 passengers ; 15 pounds for every 2 passengers 15. 1 precinct ; 64 voters per precinct 17.
yards of fabric per doll dress 19.
25.
2.5 years
1 car ;
2.5 years per car 27.
1.25 yards of fabric
; 1.25
1 doll dress
$72
23. 1 month ; $72 per month
2.5 kilowatts
16.5 miles
1 hour ; 2.5 kilowatts per hour 21. 1 gallon ; 16.5 miles per gallon
0.35 grams of sodium
$12.40
; 0.35 grams of sodium per
1 hour ; $12.40 per hour 29.
1 serving
serving 31. Chef’s
Choice: $0.15 per cookie; Savory: $0.14 per cookie. Savory is the better buy. 33. Lightning: $0.92 per bar; Thunder: $0.95 per
bar. Lightning is the better buy. 35. 42-ounce jug: $0.07 per ounce; 64-ounce jug: $0.06 per ounce. The 64-ounce jug is the
better buy. 37. To be the same unit price, the 24-ounce bag should cost $4.32.
Section 6.3
1. No, only a pair of equivalent ratios can be written as a proportion. 3. n = 6 5. n = 16 7. n = 30
4
2
7
9. n = 16 11. n = 20 13. n = 12 15. n = 25 17. n = 4 19. n = 53 21. n = 5 23. n = 3 25. n = 2 27. Tom
received 120 votes. 29. Cheryl will use 5 gallons to drive 120 miles. 31. 150 square yards of roofing material will cost $1,800.
33. The price of 8 feet of rope is $3.20. 35. He can ride 10 miles in 45 minutes. 37. Hank’s pickup will need 3 gallons of gas to
travel 54 miles. 39. It will take 10 hours for the whole job to be completed. 41. 5 boats are needed for a group of 75 people.
3
43. The college offers 36 math classes. 45. n = 4 47. n = 2
Section 6.4
1. Answers may vary. Answers should include doing long division of 8 , 11 and taking the quotient out to
9
9
1
the ten-thousandths place to round appropriately. 3. 20
5. 10
7. 14
25 of a school district’s budget is for teacher salaries. 9. 50 of the
cars imported into the United States come from Sweden. 11. 0.16 13. 0.045 15. 0.02 17. 1.84 19. 0.85 21. 2.60 = 2.6 23.
0.04 25. 0.03 27. 0.052 29. 0.172 31. 0.0775 33. 0.005 35. 78% 37. 6% 39. 90% 41. 211% 43. 140% 45. 12.8% 47. 6.2%
49. 0.1% 51. 40% 53. 94% 55. 156% 57. 125% 59. 62.5% 61. L 56.3% 63. L 77.8% 65. L 16.7% 67. L 26.7%
69. L 40.9% 71. 30% of the medals that South Korean athletes won at the 2004 Olympics were gold medals. 73. In May
2005, 18.8% of all commercial flights either departed late or were canceled. 75. 0.0075 77. 0.0017
1. A is greater than B. 113% of B is more than 100% of B; so, A must be greater than B. 3. 14 5. 87 7. 72
Section 6.5
9. 28.8 11. 60 13. 49 15. 80% of 95 is 76. 17. 115% of 60 is 69. 19. 35% of 40 is 14. 21. 45% of 80 is 36. 23. 60% of 80
is 48. 25. 125% of 28 is 35. 27. 180% of 15 is 27. 29. 50% of 76 is 38. 31. 40% of 65 is 26. 33. About 22.2% of 63 is 14.
35. 105% of 60 is 63. 37. 160% of 45 is 72. 39. About 118.2% of 55 is 65. 41. Jayne sold $1,920 in computer equipment.
43. A total of 160 cars were in the parking lot. 45. 580 runners were in the marathon. 47. 45% of students brought their books
the first day. 49. 37.5% of the deputies are women. 51. 28% of Julia’s dolls were made before 1900. 53. 65% of the customers
did not order a balloon bouquet. 55. 1 43 % of 400 is 7.
25
Section 6.6
1. No. 100
is a single ratio, and a proportion is an equation comparing two equivalent ratios. 3. 3 of the packs
contain an autographed card. 5. 91 female members of a health club attend at least four times a week. 7. 91 voters voted for
proposition A. 9. 15 employees are in management. 11. It has 225 mailboxes in all. 13. The total number of customers that
PRIOMC00_0321213793_Ans pp.qxd
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Page A-8
Answers
day was 150. 15. The total number of faculty is 150. 17. 56 total families live in this neighborhood. 19. 40% of his patients
receive a weekly massage. 21. 35% of his football card collection is memorabilia cards. 23. Ms. Kendall got 53.3% of the vote.
25. 13.3% of the employees ride the bus to work. 27. 132 employees do not smoke cigarettes.
Section 6.7
1. He is referring to his commission. It means that he makes a 6% commission. 3. Tanaya paid $50.56 at the
register. 5. Maria paid $50.16 at the register. 7. Mike made $85.50 commission that day. 9. Giorgio’s commission is 3.5%.
11. The new price of the sweater is $48. 13. Eleazar will pay $165.59 for the suit. 15. The new price of the car is $11,967.12.
17. Sarah’s grade was 85%. 19. The shoes were discounted 12%. 21. Marcus has attained 85% of his goal. 23. Yes, Jamal will
have enough money. He will pay $26.46 at the register. 25. a) Bud will pay $322.96 for the TV set. b) Bud will pay $25.84 in sales
tax. c) Bud will pay $348.80 for the TV set. 27. The increase in the choir budget is 20%. 29. Nate’s height increased 12.5%.
31. The decrease from last year to this year is 7.5%. 33. The decrease in sales from December to January was 37.5%.
35. The new price for the fettuccini dinner is $11.76. 37. The new value of Kilborne Company stock was $46.97. 39. The value of
the ten shares of Jozo stock was $415.80 at the end of May.
Chapter 6 Review
1. 25 and 24 2. cross multiplication 3. ratios 4. multiplication 5. fraction or decimal 6. 100%
cents
3 quarts
$7
7. True 8. False 9. False 10. True 11. 12 1cookies
12. 1 45
box
doughnut 13. 8 children 14. 10 cards 15. 25 players per game 16. $85 per week
dollars
17. 120 passengers for every 5 cars 18. 80 miles for every 3 gallons 19. 729 shares
=
calories
22. 0.6
1.5 grams =
2 calories
5 grams
$90
c) $90 : $210; $210
=
12 pounds
23. 15
pounds =
3
7
4
5
inches
24. 20
32 inches =
$180
26. a) $180 : $120; $120
=
3
2
5
8
25. a) $120 : $90; $120
$90 =
b) $120 : $180; $120
$180 =
2
3
8 dollars
18 minutes
2
2.4 acres
1 share 20. 45 minutes = 5 21. 3 acres
4
$120
4
3 , b) $120 : $210; $210 = 7 ,
c) $180 : $300; $180
$300 =
=
4
5
3
5
$120
= 25 27. 60 = 60; Yes 28. 400 Z 450; No 29. 18 Z 20; No 30. 15 = 15; Yes
d) $120 : $300; $300
1 hit
65 dollars
31. 1 day ; $65 per day 32. 15 customers
2 hours ; 15 customers every 2 hours 33. 3 times at bat ; 1 hit every 3 times at bat
11.4 students
4 golf balls
34. 3 5repetitions
minutes ; 3 repetitions every 5 minutes 35. 1 player ; 4 golf balls per player 36.
1 tutor ; 11.4 students per tutor
$1,350
calls
miles
37. 11.8 phone
; 11.8 phone calls per day 38. 18.5
1 day
1 gallon ; 18.5 miles per gallon 39. 6 residents =
339 points
15 games
22.6 points
1 game ;
$405
18 trees
$22.50
1 tree ;
$225
1 resident ;
$114
25 chairs
$225 per resident
$4.56
1 chair ;
=
=
=
40.
22.6 points per game 41.
$22.50 per tree 42.
$4.56 per chair
43. Redd’s: $0.12 per ounce; Green’s: $0.15 per ounce. Redd’s is the better buy. 44. ReadyCharge: $0.81 per battery; LightShine: $0.75 per battery. LightShine is the better buy. 45. n = 21 46. n = 15 47. n = 72 48. n = 35 49. Kjell’s car will travel
328 miles on 16 gallons of gas. 50. Lonnie will charge $123 to paint 82 square feet of wall space. 51. Karrie raised $144.
3
52. It will take 55 seconds to print 22 pages. 53. 51 of the homes in Westside Estates are ranch style. 54. 20
of all fruit sold in
2
1
Bryson’s grocery store is organically grown. 55. 25 of all U.S. residents live in Texas. 56. 40 of the medals awarded at the 2004
Summer Olympics went to athletes from Ukraine. 57. 0.47 58. 0.03 59. 0.091 60. 0.006 61. 26% 62. 2% 63. 17.5% 64. 70%
65. 106% 66. 0.5% 67. 15% of the Sri Lankan population is Hindu. 68. 64% of the shoppers at Lucia’s Floristas pay with
a credit card. 69. 87.5% of the students in Ms. Skiba’s art class received a passing grade. 70. 28.6% of all U.S. car sales are
small cars. 71. 38 72. 49 73. 10 74. 6 75. 25% of 76 is 19. 76. 60% of 85 is 51. 77. 28% of 125 is 35. 78. 55% of 160 is 88.
79. 75% of 52 is 39. 80. 37.5 % of 120 is 45. 81. 4,000 students attend Cuyama College. 82. 15% of the National League players hit at least thirty home runs in 2004. 83. 6 of the singers are tenors. 84. 12 engineers have been at Hudson Dynamic for at
least ten years. 85. There were 140 dinner customers in all. 86. There are 320 teachers in the district. 87. It rained 60% of the
days in April. 88. Chicago won about 33.3% of the Oscars. 89. DuJuan will pay $86.00 at the cash register. 90. Sandra earned
$6,500 commission on the sale of that house. 91. The new price of the box of bulbs is $4.90. 92. Torraye’s free throw success
was 62.5%. 93. This savings was 25% of the retail price. 94. a) The cost of the meal was $36.00. b) The sales tax on the cost
of the meal was $2.16. c) The tip was $9.60. d) Connie paid $47.76 for dinner that night. 95. The Chamber’s membership
increased by 25%. 96. Corrine’s home increased 12.5% in value. 97. The water level decreased 37.5% during that week.
98. The number of students in Dr. Ortega’s statistics class decreased 26.7%.
Chapter 6 Test
1.
$60
$36
=
5
3
2.8 miles
2. 0.8
gallons =
7 miles
2 gallons
seats
3. 280 Z 300; No 4. 48 = 48; Yes 5. 21
4 rows ; 21 seats for every 4 rows
of potassium
$0.56
$0.60
6. 208 milligrams
; 208 milligrams of potassium per serving 7. Bag: 1 avocado
$0.56 per avocado, Box: 1 avocado
$0.60 per avo1 serving
cado. The bag of avocados is the better value. 8. n = 24 9. Carl would have paid $15.30 to talk 9 minutes. 10. It would take
4
9
Banjo 50 days to finish a 20-pound bag of dog food. 11. 0.07 12. 0.005 13. 57% 14. 20% 15. 25
16. 20
17. 52%
18. 36.4% 19. 14% of 150 is 21. 20. 40% of 80 is 32. 21. Of the 3,500 students at Riverbend Community College, 840 are
teenagers. 22. Lin-Li will pay $94.60 at the cash register. 23. Yusef’s discounted price will be $51. 24. The increase in his
hourly wage was 25%.
PRIOMC00_0321213793_Ans pp.qxd
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12:59 PM
Page A-9
Answers
A-9
Chapters 1–6 Cumulative Review
1. Associative Property of Multiplication 2. Commutative Property of Addition
3. 24 4. 18,000 5. Wei-Jen rode a total of 14 hours. 6. 28 7. 2 8. 2 # 3 # 3 # 5 # 7 = 2 # 32 # 5 # 7 9. 18 10. n = 157 11. n = 75
12. n = 65 13. 70 14. 1152 15. 1115 16. 213 17. The area is 10 21 square feet. 18. The area is 7 square inches. 19. Sun-Yee’s
71
weekend hourly wage is $13.35 per hour. 20. Damien can place 36 shingles on the north side of the house. 21. 0.043 22. 100
23. $10.60 24. $532 25. Beverly will get back $6.47 in change. 26. 16.906 inches 27. 3.55 meters 28. 0.072 29. 31.5 30. 60
31. 30.8 32. 0.615 33. 1.73 34. 0.875 35. Petre earned $17.40 per hour. 36. The area of the pool is 205.8 square yards.
2.7 grams
6
1.9 calories
37. The circumference of the baking dish is about 30.1 inches. 38. 0.45
grams = 1 39. 1 gram ; 1.9 calories per gram 40. Tomás
traveled 48.75 miles per hour. 41. Twinklebuck’s: $0.095 per ounce, Sunbuck’s: $0.09 per ounce, Sunbuck’s is the better buy.
42. n = 12 43. n = 12 44. 0.05 45. 0.032 46. 30.8% 47. 40% 48. It will take Zia 20 minutes to cook 90 pancakes.
49. 6 employees may live outside the city limits. 50. 45% of 140 is 63. 51. 64% of 75 is 48. 52. The discounted price will be
$44. 53. The decrease in the Torres’s monthly car payment is 40%.
Chapter 7
11
7
1
3
1
3
3
1
13
47
Preparation Exercises
1. 316 2. 618 3. 712
4. 416
5. 101 6. 65 7. 21
2 = 10 2 8. 30 9. 2 = 12 10. 4 11. 2 = 12 12. 24 13. 100
3
14. 1,000
15. 0.63 16. 0.29 17. 2 18. 10.99 19. 58 20. 1.2 21. 14.75 22. 1.95 23. 3.9 24. 9.5
Section 7.1
1. First, write 1 mile as 5,280 feet. Then convert 5,280 feet into yards by multiplying by 13. 1 mile = 1,760 yards
3. 48 inches 5. 8 inches 7. 5 13 yards 9. 31 foot 11. 144 in. 13. 80 in. 15. 2 ft 4 in. 17. 7 ft 9 in. 19. The rim of a basketball hoop
is 120 inches off the floor. 21. The record length for a garter snake is 9 feet 3 inches long. 23. 10 ft 10 in. 25. 6 ft 27. 5 ft 8 in.
29. 3 ft 5 in. 31. Rodney was 3 feet 2 inches tall on his first birthday. 33. 80 ounces 35. 8,000 pounds 37. 144 oz 39. 104 oz
41. 1 lb 12 oz 43. 5 lb 10 oz 45. A home run slugger’s baseball bat weighs 34 ounces. 47. 10 lb 13 oz 49. 8 lb 51. 5 lb 12 oz
53. 3 lb 9 oz 55. The total weight of Liu and his baby carrier is 17 pounds 2 ounces. 57. 10 pints 59. 4 43 cups 61. 11 cups
63. 2 13 quarts 65. 14 ft 6 in. 67. 63,360 inches are in one mile.
Section 7.2
1. Answers may vary. 3. 3,080 m 5. 450 L 7. 0.87 g 9. 0.091 L 11. 3.65 m 13. 0.49 g 15. 0.06 L 17. 0.4 m
19. 360 dekameters 21. 3.12 decigrams 23. 0.009 kiloliter 25. 25 decimeters 27. 18.1 deciliters 29. 8.3 hectometers
31. 3.7 decigrams 33. 0.6 centiliter 35. A child weighs 15,600 grams. 37. Veronica’s rosebush is 0.835 meter high.
39. A dwarf pygmy goby has a diameter of 9.9 millimeters. 41. 2,011 centigrams 43. 3.22 dekaliters 45. 15.7 centigrams
47. 1,316 deciliters 49. 1625 milliliters of fluid are now in the bag. 51. Jermaine added 13.4 total liters to his gas tank.
53. Tamayra grew 8.7 centimeters that year. 55. a) The perimeter is 7 meters. b) The area is 2.86 square meters.
1 kg
Section 7.3
1. To convert from grams to kilograms, we should use 1,000
g . Converting from grams to kilograms means we
must eliminate grams; so, grams must be in the denominator of the equivalence fraction. 3. 14 yards 5. 7 gallons 7. 4 21 cups
9. 0.95 meter 11. 0.06 gram 13. 4.5 liters 15. 30 centimeters 17. 15 miles 19. 12 meters 21. 47.5 liters 23. 3.75 kilograms
25. 14 43 ounces 27. L 150 feet; L 147.7 feet 29. L 1 13 feet; L 1.31 feet 31. L 5.67 hectograms; L 5.74 hectograms
33. L 16 cups; L 16.05 cups 35. L 1.1 tons; L 1.1 tons 37. L 6,000 meters; L 6,037.5 meters 39. A foot race is 6 41 miles.
41. A window is 120 centimeters wide. 43. Sammy weighs 60 21 pounds. 45. Papi’s pickup truck can hold 114 liters of gas.
47. Myra weighs about 7.2 kilograms.
·
·
Section 7.4
1. A 0° angle is also known as a ray. 3. ∠1, ∠G, ∠RGW, and ∠WGR 5. ET and DL
7. ∠KRB = 53° 9. ∠SAP = 94° 11. ∠WXI = 103° 13. ∠YEO = 48° 15. ∠LYM = 63° 17. ∠MUJ = 18°
19. ∠1 = 32°, ∠2 = ∠4 = 148° 21. ∠2 = 111°, ∠1 = ∠3 = 69° 23. straight 25. vertical 27. False 29. True
31. False 33. True 35. 90°. 37. No. If Z is not in the interior, WZ will cross Ray BA or Ray BC.
Section 7.5
1. No. Two obtuse angles (each more than 90°) add to more than the 180°, too many for a triangle. 3. Yes. An
isosceles triangle has two or more sides of equal length. An equilateral triangle has three sides of equal length. 5. ∠C = 80°
7. ∠C = 13° 9. ∠C = 75.4° 11. ∠C = 70.5° 13. Scalene 15. Scalene 17. ∠C = 54° 19. ∠I = 68.5° 21. ∠P = 35°,
∠Q = ∠O = 145°, OP = 3 in., and QP = 7 in. 23. False 25. False (Note: In a quadrilateral, when a pair of parallel sides are
the same length, the quadrilateral is a parallelogram but can’t be a trapezoid.) 27. True 29. True 31. Yes, the two sides that
form the right angle can be the same length. 33. d = 12 in. 35. d = 13 cm 37. r = 10 in. 39. r = 3 23 ft 41. Each angle measure is 60°. The total angle measure is 180°. 43. Each angle measure is 108°. The total angle measure is 540°. 45. a) Because a
right angle is one-fourth a full circle, a right angle has 100 grads. b) Using grads, the sum of the angles in a triangle is 200
grads. This is because the sum of the angles in a triangle is equal to the sum of the measures of two right angles.
Z01_PRIOR3792_01_SE_ANS.qxd
A-10
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Page A-10
Answers
22
Section 7.6
1. No. p is approximately 22
7 , but it is not equal to 7 . p is a decimal that never terminates and never repeats.
3. The perimeter of Karin’s lamp stand is 82 inches. 5. The perimeter of home plate is 58 inches. 7. P = 21.56 cm 9. P = 2 13 in.
11. P = 72 ft 13. P = 2 23 in. 15. P = 52 ft 17. P = 94.2 m 19. P = 740 yd 21. P = 14 21 in. 23. side = 17 in.
25. side = 17.9 cm 27. side = 17 21 yd 29. side = 1 13 ft 31. C L 88 in. 33. C L 17.6 cm 35. C L 5 21 in. 37. C L 22 ft
39. C L 31.4 yd 41. C L 28.3 m 43. C L 25.1 ft 45. C L 20.4 cm 47. X = 11 in., Y = 44 in., P = 158 in. 49. X = 13.2 m,
7
P = 55.2 m 51. X = 125 in., Y = 12
in., P = 3 61 in. 53. The perimeter of Marta’s garden is about 51.4 feet.
Section 7.7
1. The side measure is 4 inches. No. Although the numerical values might be the same, area is always
7
in.2 7. A = 44.2 cm2 9. A = 4 12 ft2 11. A = 169 ft2
expressed in square units; perimeter is not. 3. A = 96 yd2 5. A = 32
49
1
2
2
2
2
2
13. A = 144 in. 15. A = 108 ft 17. A = 3 in. 19. A = 154 in. 21. A = 56 in.2 23. A = 135 yd2 25. A = 25
32 in.
2
2
2
2
2
2
27. A = 460 ft 29. A = 85 m 31. A L 28.3 in. 33. A L 4.5 m 35. A L 50.2 yd 37. A L 3.8 cm 39. A = 240 in.2
41. A = 63 ft2 43. The area of this side is 448 square inches. 45. The area of the room is 150 square feet. 47. The circumference of the wheel is about 63 inches. 49. The area of the hot tub cover is about 20 square feet. 51. A L 21.2 cm2 53. The area
of the flat region is about 737.5 square meters. 55. The area of Marta’s garden is about 157 square feet. 57. 4 inches.
Section 7.8
1. Each formula is the area of the base times the height. 3. V = 240 in.3 5. V = 2,400 ft3 7. V = 2,016 cm3
1
9. V = 17 2 in.3 11. V L 50.2 ft3 13. V L 20.3 m3 15. V L 47.1 ft3 17. V L 13.8 m3 19. V = 80 in.3 21. V = 7 m3
23. V L 4.2 ft3 25. V L 7.2 m3 27. The volume of the space is 576 cubic feet. 29. The volume of the can is about 603 cubic
centimeters. 31. The volume of Rebecca’s pyramid is about 47 cubic inches. 33. The volume of the bowl is about 134 in.3
35. The volume of the whole silo is about 121 m3.
Chapter 7 Review
1. True 2. False 3. True 4. True 5. True 6. False 7. False 8. True 9. 216 in. 10. 119 in. 11. 4 ft 2 in.
12. 10 ft 10 in. 13. A tennis racquet is 27 inches long. 14. At 7 feet 2 inches tall, Margo Dydek is the tallest woman
professional basketball player in the WNBA. 15. 12 ft 16. 1 ft 6 in. 17. The house is 13 feet 2 inches tall. 18. The rest of its
body is 8 feet 9 inches long. 19. 47 feet 20. 17 yards 21. 10 pints 22. 43 pound 23. 5 pints 24. 1 43 cups 25. 48 fluid ounces
26. 3 gallons 27. 18 fluid ounces 28. 45 pound 29. 6 ounces 30. 2,900 pounds 31. 240 oz 32. 82 oz 33. 2 lb 8 oz 34. 8 lb 14 oz
35. A roasting chicken weighs 61 ounces. 36. A double box of cereal weighs 4 pounds 12 ounces. 37. 12 pounds
38. 1 pound 12 ounces 39. The total weight of these two books is 11 pounds 4 ounces. 40. The remaining block of cheese
weighs 13 pounds 7 ounces. 41. 30.8 g 42. 6,800 g 43. 8.7 m 44. 0.24 L 45. 20 mm 46. 9 cg 47. 3.12 dL 48. 0.12 kL
49. 0.36 km 50. 82 dam 51. Jakhil ran 400 meters in one minute. 52. A hummingbird weighs 1,600 milligrams. 53. 2011
centigrams 54. 48.05 deciliters 55. Martin drank 3.1 liters for his test. 56. Foofi gained 480 grams during the year. 57. 3 21
quarts 58. 36 ounces 59. 4 21 feet 60. 27,000 grams 61. 9,500 meters 62. 12 liters 63. 55 centimeters 64. 24 inches
65. 10 quarts 66. 28.5 liters 67. 1 41 ounces 68. 15 meters 69. A sack of potatoes weighs about 9.1 kilograms. 70. a) Jorge is
72 inches tall. b) Jorge is about 180 centimeters tall. 71. ∠BRK = 48.4° 72. ∠EMD = 97.5° 73. ∠BLN = 54.8°
74. ∠RFX = 27.5° 75. ∠1 = 32°, ∠2 = ∠4 = 148° 76. ∠C = 52° 77. Isosceles 78. Equilateral 79. ∠G = 30.6°
80. ∠J = 66.2° 81. ∠P = 40°; ∠Q = ∠O = 140°; OP = 5 cm; QP = 9 cm 82. d = 18 ft 83. r = 3 23 in. 84. r = 1.15 m
85. The perimeter of Leon’s pool is 29 65 yards. 86. The perimeter of the support structure is 28.1 meters. 87. X = 20 ft, Y = 8 ft
The perimeter is 86 feet. 88. The perimeter of the dance floor is 87 feet. 89. P = 7 ft 90. P = 30 yd 91. Each side = 14 cm
92. Each side = 35 in. 93. Marcus needs about 132 feet of fencing to fit around the garden. 94. About 94.2 inches of weather
9
in.2 98. A = 12 41 ft2 99. A = 200 in.2
stripping is needed to go around the window. 95. A = 20 yd2 96. A = 3 m2 97. A = 64
100. A = 10 ft2 101. A = 5 in.2 102. A = 33 cm2 103. A L 12.6 ft2 104. A = 8.0 cm2 105. The area of the surface of the pond
is about 2,826 feet. 106. The area of Erica’s living room is 144 ft2. 107. A L 7.74 cm2 108. V = 540 in.3 109. V L 33.5 ft3
110. V L 314 in.3 111. V L 7.1 ft3 112. V = 160 m3 113. The volume of the pyramid is 2,000 cubic yards. 114. The volume of
the storage area is 672 cubic feet.
Chapter 7 Test
1. True 2. True 3. False 4. False 5. 18 ft 5 in. 6. 13 ft 4 in. 7. 81 inches 8. 11 feet 10 inches
9. 48 ounces 10. 3 43 yards 11. 0.28 L 12. 45 m 13. 0.091 m 14. 890 g 15. 92.7 mm 16. 5.25 kg 17. 32 kilometers
18. 13 43 pounds 19. Elisa put 2.5 gallons into her motorcycle. 20. ∠RTW = 61.9° 21. ∠XAS = 144.5° 22. ∠WXI = 111.7°
23. ∠LYM = 58.9° 24. ∠C = 105.9° 25. The perimeter of the canvass is 98 inches. 26. P = 30 cm 27. A = 5 49 ft2
28. C L 110 in. 29. Each side = 1 13 ft 30. A = 42 cm2 31. The area of the kitchen is 576 square feet. 32. V L 376.8 cm3
33. V = 10 in.3
PRIOMC00_0321213793_Ans pp.qxd
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Answers
Chapter 8
Preparation Exercises
1. 54 2. 88 3. 43 4. 51 5. 0.8 6. 2.0 (not 2) 7. 0.43 8. 1.39 9. 2.038 10. 2.847 11. 0.46
12. 2.805 13. 17.92 14. 74.00 = 74 15. 0.21 16. 0.0400 = 0.04 17. 0.25 18. 7.9 19. 95 20. 95.75 21. 47% 22. 3%
23. 27.9% 24. 0.5% 25. 0.58% 26. 0.09 27. 1.30 28. 0.025
Section 8.1
1. a) No. Because the percents add to more than 100%, it is not possible to put them into a circle graph.
b) Even though the data add to more than 100%, because some customers have more than one beverage, such as coffee and
juice, the beverages are counted in two different categories.
State
Community Colleges in the
Mountain States
Arizona
Colorado
Idaho
Montana
Nevada
New Mexico
Utah
Wyoming
0
5
10
15
20
25
Number of Community Colleges
11.
Marital Status
Married
Divorced
Widowed
Legally Separated
Never Married
Total
15.
Major
Arts/Humanities
English/Language
Life Science
Social Science
Other
Total
5.
7. Jet
South American Athletes in
the 2004 Summer Olympics
Bolivia
Chile
Country
3.
Colombia
Ecuador
Paraguay
Uruguay
Venezuela
0
10 20 30 40 50
Number of Athletes
Percent
of Women
30%
20%
5%
10%
35%
100%
60
Age, in Years
Freedom
Glory
Patriot
Spirit
Victory
Total
Total Number
of Women
36
24
6
12
42
120
Total Number
of Student
40
16
4
8
12
80
8
13
6
2
4
33
13.
Type of Doctor
Anesthesiologists
General Practitioners
Gynecologists
Internists
Surgeons
Other
Total
Percent
of Students
50%
20%
5%
10%
15%
100%
17.
Position
Pitcher
Catcher
Infielder
Outfielder
Left blank
Total
Other
15%
Arts/
10%
Humanities
Life
5%
50%
Science
20%
Catcher
English /
Languages
Left blank
Social
Science
Outfielder
22%
5%
8%
Number of Cups
None
One
Two
Three
More Than Three
Total
Number of Horses
14
8
22
16
25
85
Percent of
Doctors
6%
32%
16%
18%
8%
20%
100%
Total Number
of Players
56
10
74
44
16
200
Total Number
of Doctors
15
80
40
45
20
50
250
Percent
of Players
28%
5%
37%
22%
8%
100%
Position Indicated on Little
League Application Form
Majors of Students
Living in the Dorm
19.
9. Breed
Andalusian
Clydesdale
Friesian
Paint
Palomino
Total
Number of
Customers
6
10
15
5
4
40
Percent of
Customers
15%
25%
37.5%
12.5%
10%
100%
One
25%
None
15%
Two
37.5%
Pitcher
28%
Infielder
37%
More than
Three
10%
Three
12.5%
Section 8.2
1. A bar graph is typically based on non-numerical categories, and a histogram is based on the frequency
distribution of class intervals.
A-11
PRIOMC00_0321213793_Ans pp.qxd
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Page A-12
Answers
3. a)
5. a)
Number
of Hours
1–5
6–10
11–15
16–20
21–25
26–30
Total
16
12
8
4
17
0–
1
79
18
0–
18
9
19
0–
19
9
20
0–
20
9
21
0–
21
9
22
0–
22
9
Number of Lightbulbs
Lifetimes for Night-Light Bulbs
20
Number of Hours
b) 50 c) 10
d) 34 e) 35
Number
of Students
9
20
18
26
12
5
90
7. a) Number
of Minutes
30–39
40–49
50–59
60–69
70–79
80–89
Total
How Much Time Clients are Spending
Number
at 24-Hour Fitness
Tally
of Clients
6
1111 1
9
11111111
12
1111111111
12
1111111111
7
111111
b) 15 c) 33 d) 23
4
1111
50
15
Number of Clients
A-12
10/1/08
12
9
6
3
30–39 40–49 50–59 60–69 70–79 80–89
Number of Minutes
b) 17 c) 29 d) 56
Grades
50–59
60–69
70–79
80–89
90–99
Total
Number b)
Tally
of Students
2
11
6
11111
10
11111111
17
11111111111111
5
1111
40
Grades in Mr. Hanson’s Algebra Class
c)
25%
C
15%
D F
18
Number of Students
9. a)
5%
A
B
42.5%
15
12.5%
12
9
6
3
50–59
60–69 70–79 80–89
Course Averages
90–99
Section 8.3
1. Answers may vary. One possibility: The mean is the average of all of the values, the median is the value
that is in the middle of the ordered data, and the mode is the data value that occurs most often. 3. Yes. If there is an odd number
of data values, whichever number is the middle number is the median. For example, in the data set 1, 3, 3, 5, 7, 8, 8, 10, 11, the
middle number is 7. 5. 83 7. 43 9. 79.4 11. 167.7 13. 19 miles 15. 29.7 cars 17. 22.06 kilometers 19. 1.268 meters
21. Grade Point Average = 38
13 L 2.92 23. Median: 76; mode: 71 25. Median: 3; mode: 3 27. Median: 9.5; mode: 6
29. Median: 40.5; mode: 38, 31. Mean: 13.8; median: 14; mode: None 33. Mean: 10.5; median: 10; mode: 5 35. Myla’s test
average after the fourth test is 87.5.
Section 8.4
1. 100%. Answers may vary. 3. 61 5. 65 7. 26 =
12
3
3
6
6
2
23. 40 = 10 25. 40 27. 361 29. 36
= 61 31. 36
= 361 33. 36
= 181
Chapter 8 Review
World Series Appearances
1.
2.
13 through 17
League
Team
3.
Pinto Lanes Bowling Leagues
12 and under
Athletics
Cardinals
Cubs
Dodgers
Young Singles
Young Couples
Young at Heart
Giants
Red Sox
Seniors
0
3 6 9 12 15 18 21
Number of World Series
Appearances
5. Advertising
Budget Item
Magazine
Newspaper
Radio
Television
Other
Total
0
Percent of
Budget
10%
14%
25%
46%
5%
100%
5
10 15 20
Number of Teams
1
3
25
Company
ConAgra Foods
General Mills
Heinz
Kellogg
PepsiCo
Sara Lee
8
9. 51 11. 53 13. 53 15. 20
=
2
5
4
17. 20
=
4.
Revenue
Country
(in $billions)
Canada
22
Great Britain
11
Japan
9
Kenya
9
Other
27
18
Total Amount 6. Style of
New Home
of Budget
2BR, 1-Story
$20,000
3BR, 1-Story
$28,000
3BR, 2-Story
$50,000
4BR, 1-Story
$92,000
4BR, 2-Story
$10,000
Total
$200,000
Percent of
Development
8%
26%
35%
19%
12%
100%
1
5
3
19. 24
=
Number of
Winners
16
4
7
16
25
Total Number
of Homes
40
130
175
95
60
500
1
8
9
21. 24
=
3
8
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Page A-13
Answers
7.
Ethnicity
African American
Asian
Hispanic
White
Other
Total
9.
Distance Driven by Employees
Ethnicity of Ball Players
Hispanic
25%
Asian
15%
White
20%
8.
Other
5%
African
American
35%
Total Number
of Attendees
8
68
24
50
34
16
200
Religion
Buddhist
Christian
Hindu
Jewish
Muslim
Other
Total
10. Number of
Number of Reigns of 62 Rulers of England and Great Britain
Years
Tally
Rulers
0–9
23
1111 1111 1111 1111 111
10–19
15
1111 1111 1111
20–29
12
1111 1111 11
30–39
7
1111 11
40–49
1
1
b) 5 c) 19 d) 38
50–59
3
111
60–69
1
1
Total
62
25
16
Number of Rulers
Number of Employees
20
Total Number Percent
of Players of Players
42
35%
18
15%
30
25%
24
20%
6
5%
120
100%
12
8
4
1–5
6–10 11–15 16–20 21–25 26–30
Number of Miles
b) 27 c) 48 d) 29
12. Number
of Months
1–6
7–12
13–18
19–24
25–30
31–36
Total
20
15
10
5
0–9
Number of
Attendees
4
3
12
8
11
7
45
10–19 20–29 30–39 40–49 50–59 60–69
Number of Years
Percent
of Attendees
4%
34%
12%
25%
17%
8%
100%
A-13
Religious Affiliation of
Service Attendees
Hindu
12%
Christian
34%
Buddhist
4%
Muslim
17%
Jewish
25%
Other
8%
11. Number Number
of Wins of Teams
50–57
1
58–65
2
66–73
8
74–81
3
82–89
6
90–97
7
98–105
3
Total
30
b) 10 c) 17 d) 11
b) 7 c) 19 d) 7
13. Mean: 7.1; median: 7; mode: 6 14. Mean: 21.2; median: 21; mode: None 15. Mean: 4.3; median: 4.5; mode: 6 16. Mean:
37
33
14; median: 15.5; modes: 9 and 17 17. 12
L 3.08 18. 14
L 2.36 19. 63 = 21 20. 26 = 13 21. 46 = 23 22. 06 = 0 23. 61 24. 26 = 13
15
4
1
3
3
2
1
2
1
8
6
9
10
25. 8 = 2 26. 8 27. 8 28. 8 = 4 29. 8 = 4 30. 8 = 1 31. 305 = 61 32. 30
= 51 33. 30
= 103 34. 308 = 154 35. 50
= 51 36. 50
= 103
12
6
37. 505 = 101 38. 50
= 25
Chapter 8 Test
1.
Selected California Crops in 2003
2.
Crop
Barley
Corn
Hay
Oats
Wheat
0
5 10 15 20 25 30 35
Number of Bushels (in millions)
3. Type of
Percent of Total Number
Business
Acreage
of Acres
6
Business Offices
4%
27
Grocery
18%
39
Restaurants
26%
48
Retail
32%
18
Services
12%
12
Storage
8%
Total
150
100%
City
Albuquerque, NM
Baltimore, MD
Evansville, IN
Nashville, TN
Roanoke, VA
Wichita Falls, TX
Average Snowfall,
in Inches
11
21
14
10
23
6
4.
Annual Giving
Less than $200
$200–$999
$1,000–$4,999
$5,000–$9,999
$10,000–$19,999
$20,000 and above
Total
Total Number Percent of
of Families Families
12
4%
36
12%
75
25%
96
32%
54
18%
27
9%
300
100%
Annual Giving by Families
of Community Church
$10,000–
$19,999
$1,000–
18% $4,999
25%
$5,000–
$9,999
32%
Less than
4%
$200
12%
9%
$200–
$999
$20,000
and above
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Page A-14
Answers
5. Number
of Wins
20–25
26–31
32–37
38–43
44–49
50–55
56–61
Total
Number
Tally of Teams
3
111
3
111
6
1111 1
7
1111 11
2
11
4
1111
4
1111
29
Wins for NBA Teams, 2003–2004 Season
8
Number of Teams
A-14
10/1/08
6
4
2
20–25 26–31 32–37 38–43 44–49 50–55 56–61
Number of Wins
b) 10 c) 6 d) 12 6. Final Exam Number of b) 44 c) 25 d) 22
Score
Students
44–51
4
52–59
7
60–67
11
68–75
14
76–83
19
84–91
16
92–99
9
Total
80
4
5
3
7. Mean: 6.2; median: 6; mode: 8 8. Mean: 11.7; median: 12.5; mode: 16 9. 72
25 = 2.88 10. 9 11. 9 12. 9 =
15. 93 =
1
3
16. 154 17. 153 =
1
5
18. 156 =
2
5
14
=
19. 152 20. 40
7
20
10
=
21. 40
1
4
8
=
22. 40
1
5
5
=
23. 40
1
3
13. 93 =
1
3
14. 29
1
8
Chapters 1–8 Cumulative Review
1. a) Distributive Property of Multiplication Over Addition b) Commutative Property of Multiplication 2. 20 3. a) 22,860,000 b) 22,900,000 4. 126 = 2 # 3 # 3 # 7 5. GCF = 16 6. Each box weighs 28 pounds.
2
7
7. The Celsius temperature is 45°C. 8. LCM = 180 9. 143 10. 12
11. w = 3 12. Jeannie can cut 10 strips from the piece
5
of construction paper. 13. Tu walks 4 24 total miles each Saturday. 14. Marcela’s average rate of speed was 15.5 miles per hour.
15. 0.875 16. 0.681 17. 5.2 calories per gram 18. a) Dorie meal total was $19.75. b) The sales tax was $1.19. c) The tip was
$3. d) Dorie received $16.06 in change. 19. They can clean and prepare 36 rooms in 8 hours. 20. 39 is 60% of 65. 21. The
decrease in the average price of gasoline was 25%. 22. Paolo earned $74 commission. 23. 15 21 feet 24. 3 quarts 25. The length
of George Washington’s nose is said to be 19 feet 10 inches long. 26. The world record is 11 feet 8 inches longer than Adrian’s
throw. 27. 0.031 meter 28. 50 milligrams 29. 45 centimeters 30. 123 gallons 31. The distance between Calgary and Edmonton
is about 120 miles. 32. a) The Yeti is about 68 inches tall. b) The Yeti is about 170 centimeters tall. 33. 26.3°
34. x = 11; y = 18; perimeter: 66 m; area: 226 m2 35. 17 in. 36. Perimeter: 6 ft; area: 2 41 ft2
37. 38 in.2 38. The volume of the water tower is about 6,280 cubic feet.
39.
Sport
Aquatics
Baseball
Basketball
Football
Track/Cross-Country
Other sports
Total
Dollars
Budgeted
(in $1,000s)
6
10
4
20
5
5
50
3
Percent of the
Equipment
Budget
12%
20%
8%
40%
10%
10%
100%
4
1
40.
Basketball
8%
Other
sports
10%
Aquatics
12%
Baseball
20%
Track/CrossCountry
10%
Football
40%
Number of Number of b) 8 c) 16 d) 11
Books Read Students
0–4
3
5–9
8
10–14
10
15–19
6
20–24
13
25–29
6
30–34
2
Total
48
2
41. Mean: 6; median: 6; mode: 8 42. 5 43. 5 44. 5 45. 5
Chapter 9
Preparation Exercises
15
1. 8 2. 25 3. 7 4. 9 5. 8 6. 39 7. 53 8. 43 9. 23 10. 29 11. 61 12. 16
13. 43 14. 51 15. 23 16. 103
Section 9.1
1. -0 is the same as 0. The negative sign indicates opposite, and the opposite of 0 is zero itself. 3. No. Replacing x with 2 will make the expression 4 , 0, and we are not allowed to divide by 0. 5. 10 7. 2 9. 14 11. 22 13. 28 15. 3
17. 25 19. 10 21. x - 15 23. 20 + x 25. x , 18 or 18x 27. x2 29. x # 9 or 9x 31. |x| 33. -8 35. 18 37. 6 39. 6
41. 6 43. 6 45. 15 47. 21 49. 0 51. 44 53. 21 55. 0.65 57. The value is 6, and the direction is to the right.
59. The value is 12, and the direction is to the left. 61. (15 + x)2 63. 10 + 3x
Section 9.2
1. The sum is 0; so, the sign does not matter. 3. Yes. Answers may vary. One possibility: If a is the opposite
of b, then the sum a + b will be 0, which is neither positive nor negative. 5. 2 7. -13 9. 5 11. 0 13. 0 15. -3 17. -1
19. -1 21. -7 23. 0 25. 1 27. -17 29. 9 31. 4 33. 0 35. -31 37. -1 39. 16 41. 7 43. -40 45. -7 47. -86 49. -23
51. 0 53. -4 55. -8 57. 0 59. -6 61. P = 80 inches
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Page A-15
Answers
A-15
Section 9.3
1. Yes. If a is a negative number, then -a (the opposite of a) is positive. 3. Yes. Answers may vary.
One possibility: If the first number is greater than the second number, the difference will be positive. For example,
-3 - (-5) = -3 + 5 = +2. 5. 6 7. -6 9. -8 11. -8 13. 4 15. -7 17. 7 19. 8 21. 10 23. 2 25. 2 27. -10 29. -90
31. -54 33. -17 35. 0 37. 70 39. 91 41. 4 43. -1 45. -17 47. -4 49. 4 51. -35 53. 25 55. 2 57. -8 59. -8
61. -14 63. 3 65. 15 67. 0 69. 4 71. -6 73. 13 75. -8 77. -375 + 2,825; Mike’s new account balance was $2,450.
79. 58 - 72 + 33 - 39 - 29 + 115; Joni’s account balance on Saturday was $66. 81. -16 + 7; The temperature at 10 AM
was -9°C. 83. -2 - 16; The new temperature was -18°F. 85. 5,280 - 1,416; The difference in altitude is 3,864 feet.
87. 4,638 - (-784); The difference in altitude is 5,422 feet. 89. 5 # (-3) = -15. Adding -3 repeatedly gives us a larger
negative number; so, -3 + (-3) + (-3) + (-3) + (-3) = -15.
Section 9.4
1. We must find common denominators and then compare the numerators to see which is larger. The sign
(positive or negative) of the larger numerator will be the sign of the sum. 3. - 21 5. -1 7. 23 9. 21 11. - 41 13. - 51 15. - 43 17. 0
25
13
19. - 23 21. 81 23. 49 25. 24
27. 24
29. - 61 31. - 101 33. 0.4 35. -1.7 37. -0.75 39. -0.32 41. -0.46 43. 1.74 45. 1.2
47. -15.9 49. -0.63 51. 3.03 53. 0 55. -8.4 57. 5.6 59. -9.7 61. 0.67 63. 0.21 65. 7.12 67. -1.54 69. -57.82 + 100;
Daneice’s new account balance is $42.18. This is a credit. 71. 38.16 - 52.94; Arnie’s new account balance is - $14.78. This is a
debit. 73. -8.4 + 15.25; The temperature at noon was 6.85°F. 75. -3.85 - 5.9; At noon, the temperature of the snowball was
-9.75°C. 77. 4.25 - 1-1.82; The difference in altitude is 6.05 meters. 79. -2.65 - 1-23.92; The difference in altitude is
21.25 meters. 81. -3 21 83. -5 151
Section 9.5
1. No, the sum of two negative numbers is always negative. 3. The dividend and the divisor must have the
same sign, either both positive or both negative. 5. 20 7. -63 9. 60 11. 16 13. 0 15. -28 17. -100 19. -36 21. 24
23. -24 25. -9 27. -60 29. - 323 31. -16 33. - 23 35. - 49 37. 20 39. 29 41. 60 43. -96 45. -54 47. 120 49. 0 51. 60
3
53. -5 55. 7 57. -3 59. 2 61. Undefined 63. -20 65. 0 67. -7 69. 9 71. 23 73. 125 75. 78 77. - 158 79. 20
81. 181 83. 16
85. -1 87. -20
Section 9.6
1. 10 = 0. 10 does not have a principal square root because a principal square root is positive and 0 is not
positive. 3. 8 5. 9 7. 5 9. 7 11. 1 13. -4 15. -64 17. -1,000 19. 36 21. 81 23. -8 25. -32 27. 7 29. -20 31. 18 33. 18
35. 7 37. 8 39. -26 41. 16 43. 16 45. 12 47. 23 49. -4 51. -44 53. -5 55. -50 57. 4 59. 7 61. -13 63. -2 65. 1 67. 4
69. 14 71. 11 73. -4 75. 12 77. -2 79. -2 81. -1 83. -2 85. 152 87. - 21 89. - 13 91. -2 93. -6 95. 7 97. -2 99. 3
101. -4 103. 16 105. -1
Section 9.7
1. -2x3 and 9x2 are not like terms because there are different exponents on the variable, x. 3. 4 m 2
5. -3 y 1 7. 9 None None 9. 1 y 3 11. -1 d 5 13. - 43 n 6 15. a) 3x4 b) -5x3 c) 1 d) -9 e) 4 f) 1
17. a) -8y b) y2 c) -3 d) 1 e) 1 f) 4 19. 7x 21. 13x2 23. -1a, or -a 25. -12x2 -10x 27. 2y2 29. -3m 31. 0 33. 8p2
35. -6k 37. -1v2, or -v2 39. 2s + 4m 41. 0 43. 10y 45. -5x 47. 6c 49. -7x 51. -8y2 53. -28p 55. 11x + 3
57. -1x - 2, or -x - 2 59. 4a - 5 61. 5w + 5w2 63. -1 - 3x 65. -4c - 4b 67. P = (16x + 54) yards 69. When
x = 1, the “length” is 17 yards and the “width” is 18 yards, which doesn’t appear to fit the diagram.
Section 9.8
1. Answers may vary. 3. 20x 5. 4y 7. -28c2 9. -48a4 11. 8w + 10 13. 20y + 32 15. 7x2 + 14
17. 2x - 16 19. 14p - 21 21. 32x2 -8 23. -8c + 6 25. -15x2 -5 27. -10y - 35 29. -36x + 12 31. -4 + 8b2
33. 12x - 30 35. -4y - 4 37. -1x - 3, or -x - 3 39. 48w2 + 8 41. -1m - 8, or -m - 8 43. -7p + 7 45. 9w + 12
47. x5 49. 64x2 51. -21x3 + 14x2 - 7x
Chapter 9 Review Exercises
1. 24 2. 28 3. 30 4. 33 5. 8 - x 6. x + 14 7. 7 8. 6 9. 6 10. 7 11. 9 12. 11
13. 0 14. 21 15. -6 16. -4 17. -13 18. -5 19. 0 20. -20 21. 16 22. -31 23. 71 24. -52 25. 74 26. -27 27. -16
28. -3 29. -2 30. -4 31. -7 32. -12 33. 9 34. 4 35. 30 36. -13 37. -8 38. 55 39. 0 40. 91 41. 2 42. -16
43. 97 - 1-642; The difference in altitude is 161 feet. 44. -13 + 8; At 6 AM, the temperature was -5°F. 45. 10 - 17;
Adele’s new checkbook balance is -$7. 46. -26 - 15; Adele’s new checkbook balance is -$41. 47. - 13 48. -1 49. 45 50. 23
17
51. - 14
15 52. - 24 53. 4.8 54. -1.85 55. -8.87 56. 6.77 57. 16.5 58. -3.27 59. -57.82 - 25.36; The new balance of Clayton’s
account is -$83.18. This is a debit. 60. 10.6 - 1-32.92; The difference in altitude is 43.5 meters. 61. 6 62. 99 63. -77 64. 40
9
65. 4 66. 0 67. - 43 68. - 14
69. 43 70. - 23 71. 30 72. 40 73. -48 74. -28 75. -11 76. 6 77. 6 78. -5 79. - 45 80. - 163
81. 3 82. -2 83. -12 84. 81 85. -2 86. -8 87. -8 88. 5 89. 30 90. -6 91. 7 92. 17 93. 4 94. 2 95. 2w 96. -8w2
97. -1 98. 4 99. 1 100. 3 101. 12x 102. -6y 103. -4w2 104. 6b2 105. 1x, or x 106. 0 107. 9p + 3k 108. -14x
109. -4x 110. -2y - 1 111. -5c - 7b 112. 4 - 5x 113. -12x2 114. 81y 115. 42p 116. -15a3 117. 9y + 18
118. -12y + 18 119. 15h - 5 120. -2y - 2 121. 24y - 21 122. -8p + 28
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Page A-16
Answers
Chapter 9 Test
1. 15 - x 2. 1x 3. 6 4. 7 1 5. -8 6. 14 7. 9 8. -100 9. -10 10. -6 11. 15 12. -0.48
13. -4.53 14. -36 15. -16 16. -5 17. -7 18. Undefined 19. 5 20. 103 21. - 98 22. -7 23. -1 24. 16 25. -27 26. -2
27. 120 28. - 23 29. - 65 30. -145.22 + 53; Son Hee’s new account balance is -$92.22. This is a debit. 31. -162 - 1-4582;
The difference in altitude is 296 feet. 32. -4 33. 1 34. 7p2 35. -5a 36. -10x - 5y 37. 32k4 38. -10y 39. 6w - 15
40. -14c + 21
Chapter 10
1
Preparation Exercises
1. n = 13 2. n = 15 3. 43 4. 21
4 or 5 4 5. n = 20 6. n =
12. - 121 13. 5x 14. -16x 15. 20x - 28 16. -15x + 10
1
6
7. 45 8. 29 9. -16 10. 12 11. 4
Section 10.1
1. We are never allowed to divide by 0. 3. x = 18 5. w = -3 7. y = 1 9. x = 3 11. p = -6
13. m = -10 15. x = 6 17. c = 3 19. p = -8 21. x = -14 23. w = -4 25. m = 0 27. m = -0.9 29. x = -1.8
31. h = -1.6 33. y = 1 35. k = 13 37. m = - 25 39. x = - 23 41. p = -1 43. x = - 43 45. n = 7 47. y = -6 49. k = 12
51. p = 2 53. v = -8 55. y = 3 57. y = 43 59. h = - 23 61. c = 58 63. y = -35 65. x = 12 67. k = 4 69. b = -4
23
71. m = - 41 73. x = 0 75. y = 98 77. y = 40 79. q = - 65 81. x = 15 83. x = -0.4 85. w = -22 87. v = 24
89. p = -12
91. w = - 45 93. The length of the sides are 58 feet, 87 feet, and 116 feet.
Section 10.2
1. Answers may vary. 3. x = 4 5. x = -3 7. w = 8 9. x = 9 11. v = -3 13. y = 2 15. p = 20
3
17. x = 0 19. y = 2 21. x = - 25 23. k = 15 25. w = -18 27. x = 2 29. y = 1 31. p = -3 33. x = -9 35. y = -1
37. x = 2 39. w = 8 41. h = -9 43. m = 3 45. y = 4 47. x = 1 49. y = -10 51. x = -5 53. c = 0 55. y = 23
57. x = - 51 59. k = 8 61. r = -10 63. x = -6 65. The length of the rectangle is 11 feet.
Section 10.3
1. Answers may vary. Two possibilities: (1) The sum of twice a number and 10 and (2) 10 more than twice a
number. 3. x + 9 5. x - 5 7. 83x 9. 2x 11. 41 x 13. 18 - x 15. 9 + x 17. 8x 19. 2x + 4 21. 21 x + 7 23. 3x + 1 25. 13x - 8
27. The number is -3. 29. The number is -14. 31. The number is 5. 33. The number is -6. 35. The number is 32.
37. The number is -18. 39. The number is - 25 or -2 21 . 41. The number is 73 or 2 13. 43. The number is 7. 45. The number is 12.
47. The number is -2. 49. The number is 5. 51. The number is -3. 53. The number is 30. 55. The number is -8. 57. The number
is 7. 59. The number is 13.
Section 10.4
1. Answers may vary. One possibility: The legend tells us what the variable is representing in the formula. It also
helps us to identify the unknown value(s). 3. Answers may vary. One possibility: Writing both unknown values in terms of x allows
us to have just one variable in the equation. 5. The width is 31 inches. 7. The measure of the third angle is 35°. 9. Adrienne’s
score on the first test was 73 points. 11. It will take Margo 3 1/2 hours to get to the beach. 13. Mr. Daniels received 68 votes, and
Mrs. Jenkins received 52 votes. 15. Jorge walked 31 kilometers, and Darush walked 27 kilometers. 17. The smallest angle measure
is 28°, and the middle angle measure is 52°. 19. Carol received 89 points on the first test and 81 points on the second test. 21. The
length is 51 feet, and the width is 39 feet. 23. The shorter side is 9 inches long, and the middle side is 12 inches long. 25. Nancy will
receive $24,500, Janet will receive $34,500, and Cathy will receive $49,000.
Chapter 10 Review
1. No 2. Yes 3. m = -3 4. y = 1 5. x = 10 6. k = 3 7. p = -8 8. h = -11 9. x = -14
2
3
10. y = -3 11. w = 4 12. y = 4 13. c = 10
7 14. k = - 5 15. n = 41 16. x = -5 17. y = 29 18. m = -4 19. y = - 2
20. x = 14 21. y = -16 22. k = 20 23. a = - 29 24. y = -27 25. k = 103 26. a = - 145 27. x = 8 28. x = -2 29. c = -6
30. y = 1 31. k = -24 32. y = -70 33. y = 1 34. x = 2 35. y = 5 36. p = 4 37. x = -11 38. x = -9 39. y = -7
40. x = 12 41. y = -27 42. x = 5 43. x = -38 44. p = 4 45. x - 12 46. 49x 47. 23 - x 48. 9 + x 49. 21 x + 16
50. 5 + 2x 51. 2x - 6 52. 21 x + 15 53. The number is -10. 54. The number is 8. 55. The number is 40. 56. The number is 112
or 5 21 . 57. The number is -8. 58. The number is -11. 59. The number is 9. 60. The number is -18. 61. The length is 47
centimeters. 62. It should take him 3 21 hours to get there. 63. Toto will receive $125, and Dorothy will receive $1,075.
64. Flora’s score on her first math test was 77, and the score on her second math test was 92. 65. Karl rode 34 miles, and Kristen
rode 29 miles. 66. The shortest side is 11 yards long, and the middle side is 18 yards long. 67. The measure of the middle angle
is 60°, and the measure of the smallest angle is 20°. 68. The attendance on Saturday was 2,125, and the attendance on Sunday
was 1,275.
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Page A-17
Answers
A-17
Chapter 10 Test
1. y = 7 2. x = - 43 3. k = - 51 4. x = -10 5. x = 7 6. x = 50 7. w = -9 8. x = 3 9. x = 2
10. y = -2 11. The number is -25. 12. The number is 11. 13. The Elsons will pay Josh $265 after the second day. 14. The
shorter piece is 24 inches long, and the longer piece is 48 inches long. 15. The second side is 13 inches, and the third side is
11 inches. 16. The smallest angle measures 33°, and the middle angle measures 57°. 17. Tunde earns $23,000, and Marta earns
$24,500. 18. The width is 20 feet, and the length is 44 feet.
Chapters 1–10 Cumulative Review
1. GCF = 18 2. LCM = 72 3. 95 = 145 4. 79 5. 0.3863 6. 0.386 7. $8.70 per
pound. 8. They can change out 12 tires in 40 minutes. 9. 80% of 85 is 68. 10. The percent increase in Mica’s monthly rent was
7.5%. 11. 1.25 pounds 12. 36 millimeters 13. 224 kilometers or 225.4 kilometers 14. The top of her head is 7 feet 5 inches
from the ground. 15. The other acute angle is 58.1°. 16. The area is 31.5 square cm. 17. The volume of this cone is 120p cubic
11
feet. 18. a) 41 b) 121 c) 61 19. Mean is 7.5; median is 6.5; mode is 6. 20. -3 21. 15 22. -16 23. -35 24. -2.59 25. - 18
26. 10
3
2
27. 9 28. Ajay’s new balance is $57. 29. 81 30. -8 31. -9 32. 10x 33. -4x + 4x 34. 21y 35. 8x - 12 36. c = -11
37. y = 6 38. The number is -2. 39. The measure of the smallest angle is 32°, and the measure of the middle angle is 58°.
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