Page 783 - Basic College Mathematics with Early Integers

ANSWERS TO SELECTED EXERCISES A15

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22. Red 23. H 24. 25.
Blue H 10 5
Red
Green T
Yellow
H
Red T
Blue
Blue T
Green
Yellow 4 outcomes
Red
Blue
Green
Green
Yellow
Red
Blue
Yellow
Green
Yellow
16 outcomes
Cumulative Review 1. one hundred six million, fifty-two thousand, four hundred forty-seven; Sec. 1.2, Ex. 7 2. two hundred seventy-six thousand, Answers to Selected Exercises
four; Sec. 1.2 3. 13 in.; Sec. 1.3, Ex. 5 4. 18 in.; Sec. 1.3 5. 726; Sec. 1.4, Ex. 4 6. 9585; Sec. 1.4 7. 249,000; Sec. 1.5, Ex. 3 8. 844,000; Sec. 1.5
9. 200; Sec. 1.6, Ex. 3a 10. 29,230; Sec. 1.6 11. 208; Sec. 1.7, Ex. 5 12. 86; Sec. 1.7 13. 7; Sec. 1.9, Ex. 12 14. 35; Sec. 1.9 15. 26; Sec. 2.1, Ex. 4
16. 10; Sec. 2.1 17. a. 6 b. 7 c. 7 ; Sec. 2.2, Ex. 3 18. a. 6 b. 7 ; Sec. 2.2 19. 3; Sec. 2.3, Ex. 1 20. -7 ; Sec. 2.3 21. -15; Sec. 2.3, Ex. 5
22. -4 ; Sec. 2.3 23. 8; Sec. 2.3, Ex. 6 24. 17; Sec. 2.3 25. -14; Sec. 2.4, Ex. 2 26. -5 ; Sec. 2.4 27. 11; Sec. 2.4, Ex. 3 28. 29; Sec. 2.4
29. -4; Sec. 2.4, Ex. 4 30. -3 ; Sec. 2.4 31. -2; Sec. 2.5, Ex. 10 32. 6; Sec. 2.5 33. 5; Sec. 2.5, Ex. 11 34. -13 ; Sec. 2.5 35. -16; Sec. 2.5, Ex. 12
3 1 $180 68 mi
36. -10 ; Sec. 2.5 37. 9 ; Sec. 3.7, Ex. 11 38. 11 ; Sec. 3.7 39. ; Sec. 5.1, Ex. 7 40. or 68 mi/hr; Sec. 5.1
10 3 1 week 1 hr
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41. 2 yd ; Sec. 5.4, Ex. 2 42. 5000 pounds; Sec. 5.5 43. 0.0235 g; Sec. 5.5, Ex. 8 44. 1060 mm; Sec. 5.4 45. ; Sec. 4.6, Ex. 2
3 6
1 1 3
46. ; Sec. 4.6 47. 14 and 77; Sec. 7.3, Ex. 5 48. 56; Sec. 7.3 49. ; Sec. 7.4, Ex. 3 50. ; Sec. 7.4
5 4 5
Chapter 8 Introduction to Algebra
Section 8.1
Vocabulary and Readiness Check 1. expression; term 3. combine like terms 5. variable; constant 7. associative 9. numerical coefficient
11. unlike 13. like 15. unlike 17. like
4 1 3 1
Exercise Set 8.1 1. -3 3. -2 5. 4 7. -3 9. -10 11. 133 13. -15 15. -4 17. - or -1 19. -12 21. or 1 23. -10.6
3 3 2 2
1 53
25. 8x 27. -4n 29. -2c 31. -4x 33. 13a - 8 35. -0.9x + 11.2 37. 2x - 7 39. -5x + 4y - 5 41. - x 43. -4.8m - 4.1
2 60
3
45. 30x 47. -22y 49. -4.2a 51. -4a 53. 2y + 4 55. 15a - 40 57. -12x - 28 59. 6x - 0.12 61. -4x - 63. 2x - 9 65. 27n - 20
2
67. 7w + 15 69. -11x + 8 71. (14y + 22) m 73. (11a + 12) ft 75. (-25x + 55) in. 77. 36y sq in. 79. (32x - 64) sq km
81. (60y + 20) sq mi 83. 4700 sq ft 85. 64 ft 87. (3x + 6) ft 89. 78.5 sq ft 91. $360 93. 23°F 95. 288 cu in. 97. 91.2x cu in. 99. -3
101. 8 103. 0 105. incorrect; 15x - 10 107. incorrect; 7x - x - 2 or 6x - 2 109. distributive 111. associative 113. answers may vary
115. 120x + 162 sq mi 117. 23,506.2 sq in. 119. 4824q + 12,274
Section 8.2
Vocabulary and Readiness Check 1. equivalent 3. simplifying 5. addition
1
Exercise Set 8.2 1. yes 3. no 5. yes 7. yes 9. 18 11. -8 13. 9 15. -16 17. 3 19. 21. 6 23. 8 25. 5.3 27. -1 29. -20.1
8
2 4
31. 2 33. 0 35. -28 37. -6 39. 24 41. -30 43. 12 45. 1 47. 1 49. 1 51. subtract from both sides 53. add to both sides
3 5
55. answers may vary 57. 162,964 59. 1689 yd 61. $16,389,000,000
Section 8.3
Vocabulary and Readiness Check 1. equivalent 3. simplifying 5. multiplication
1 2
Exercise Set 8.3 1. 4 3. -4 5. -30 7. -17 9. 50 11. 25 13. -30 15. 17. - 19. -4 21. 8 23. 1.3 25. 2 27. 0 29. -0.05
3 3
15 2
31. - 33. 35. 6 37. 0 39. -2 41. -8 43. 1 45. 72 47. 35 49. -28 51. 25 53. 1 55. -10 57. 2010 59. 35,000
64 3
61. addition 63. division 65. answers may vary 67. 6.5 hr 69. 58.8 mph 71. -3648 73. 67,896 75. -48
Integrated Review 1. expression 2. equation 3. equation 4. expression 5. simplify 6. solve 7. 4 8. -6 9. 1 10. -4 11. 8x
12. -4y 13. -2a - 2 14. -2x + 3y - 7 15. -8x - 14 16. -6x + 30 17. 5y - 10 18. 15x - 31 19. 112x - 62 sq m
7 9
2
20. 25y sq in. 21. 13 22. -9 23. 24. 0 25. -4 26. 25 27. -1 28. -3 29. 6 30. 8 31. - 32. 5
10 11