A-16 ANSWERS Chapter 6 SECTION 6.1, PAGE 304 1. Variable 3. Expression 5. Terms 7. Coefficient 9. Identity 11. x 13 13. x4 8 − − 15. + x y 3 11 17. − − x y 2 18 5 19. x x 6 17 2 − − − 21. − + r8 6 23. − x 13.3 8.3 25. x 8 9 10 − 27. 11 29. 13 31. 64 33. −25 35. 6 37. −20 39. Yes 41. No 43. Yes 45. 18 47. 2 49. 45 − 51. −9 53. 6− 55. 3 57. −3 59. 2 61. 2 3 63. 4 27 65. 13 67. 29 69. 9 71. No solution 73. All real numbers 75. a) $7.92 b) $106.92 c) $27 77. a) $147 b) 208 miles 79. a) ° 32 F b) ° 212 F c) ° 95 F d) ° 23 F 81. − = ( 1) 1 n for any even number n, since an even number of factors of −( 1) when multiplied will always be 1. 83. = 1 1 n for all natural numbers because 1 multiplied by itself any number of times will always be 1. 85. a) 310 ft b) 265 ft below sea level SECTION 6.2, PAGE 310 1. Subscripts 3. 91 5. 46 7. 8 9. 62.83 11. 10 13. 2 15. −32 17. 11.99 19. 44.6 21. 6 23. 4 25. 14 27. 7 29. 1462.79 31. = − + y x2 3 33. = − y x 1 6 2 35. = + y x 2 3 2 37. = I V R 39. = − − a p b c 41. π = r C 2 43. = b A h 2 45. = − x y a b 47. = − w P l2 2 49. = − C F 5 9 ( 32) 51. = − r A P Pt 53. a) $183.60 b) $1383.60 55. 8% 57. 6.5 hr 59. 15,607.43 cubic inches 61. 1051.47 in.3 ≈ SECTION 6.3, PAGE 318 1. Ratio 3. + x 7 5. ab 7. − y 6 4 9. + w8 9 11. + x4 6 13. − z 13 4 15. − s 12 4 17. + x 3( 7) 19. + = x 11 24; 13 21. = x7 56; 8 23. − = x4 10 42; 13 25. + = x4 12 32; 5 27. + = − x x 6 2 3; 9 29. + = + x x 10 2( 3); 4 31. $9375 33. + = x x3 20,000; $5000 in mutual funds and $15,000 in stocks 35. + + = w w 2 2( 2) 52; width: 12 ft, length: 14 ft 37. + = x x 0.05 42; $40 per half hour 39. + = x 150 0.50 255; 210 miles 41. + = w w 3 2(2 ) 140; width: 20 ft, length: 40 ft 43. a) $25.40 b) 4890.97 gallons 45. 0.875 cc 47. a) 1600 lb b) 40 bags 49. 3.75 m 51. $287 53. a) 4.5 months b) $795 54. 40° − SECTION 6.4, PAGE 327 1. Direct 3. Joint 5. Direct 7. Inverse 9. Direct 11. Inverse 13. Direct 15. Inverse 17. Direct 19. π = C r 2 21. A bh 1 2 = 23. a) = y kx b) 108 25. a) = m k n2 b) 0.20 27. a) = A kB C b) 2.5 29. a) = F kDE b) 210 31. a) = H kL b) 3 33. a) = q k w2 b) 25 35. a) = J k b b) 3 37. a) = Z kWY b) 100 39. a) = F kM M d 1 2 2 b) 20 42. 2 7 32 tsp 43. 3 5 44. 3 2 − 45. 8 2 46. 20 3 − 47. 5 7 48. 3 2 49. 4 3 50. 10 51. 4 3 3 52. 35 5 53. 6 3 7 + 54. 4 3 3 2 + 55. Commutative property of addition 56. Commutative property of multiplication 57. Associative property of addition 58. Distributive property 59. Associative property of multiplication 60. No 61. Yes 62. No 63. Yes 64. No 65. 243 66. 64 67. 1 68. 1 125 69. 4096 70. 1− 71. 1 49 − 72. 3 8 73. 4.62 105 × 74. 1.58 10 5 × − 75. 280,000 76. 0.000139 77. 8 10 2 × − 78. 3.0 100 × 79. 1,100,000,000,000 80. 80 81. 5 82. 388 times 83. $5555.56 ≈ 84. Arithmetic; 27, 33 85. Geometric; 8, 16 86. 10 87. 25 88. 48 89. 19,683 − 90. 3825 91. 57.5 92. 45 93. 21 − 94. Arithmetic; a n3 2 n = − 95. Geometric; a 2( 1) n n 1 = − − 96. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 97. No 98. Yes; 8, 13 − − CHAPTER TEST, PAGE 293 1. 5 2. 2 3 4 3 ⋅ 3. 8 4. 175 − 5. 43 8 6. 0.52 7. 53 20 8. 11 60 − 9. 15 5 10. 14 7 11. Yes; the product of any two integers is an integer. 12. Distributive property of multiplication over addition 13. 64 14. 1024 15. 1 81 16. 8.0 1011 × 17. a n4 2 n = − + 18. 187 − 19. a 3(2) n n 1 = − 20. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
RkJQdWJsaXNoZXIy NjM5ODQ=