The Distributive Property ALGEBRA 1 LESSON 1-7 pages 50–52  Exercises 1. 2412 2. 663 3. 5489 4. 2448 5. 686 6. 2997 7. 20,582 8. 24,480 9. $3.96 10. $11.82 11. $29.55 12. $209.51 13. $98.97 14. $2.76 15. 7t – 28 16. –2n + 12 17. 3m + 12 18. b – 19. –2x – 6 20. 4y + 6 21. 1.5q + 8 22. 18n – 42 23. – r 24. –4.5b + 13.5 25. 2w + 4 26. –36 + 16n 27. –x – 3 28. –x + 3 29. –3 – x 30. –3 + x 31. –6k – 5 32. –7x + 2 33. –2 + 7x 34. –4 + z 4 5 2 15 16 35. –3t 36. 20k2 37. 7x 38. 24w 39. 5v2 40. 6m 41. –17q 42. –45x 43. 3(m – 7) 44. –4(4 + w) 45. 2(b + 9) 46. –11(n – 8) 1-7

The Distributive Property ALGEBRA 1 LESSON 1-7 47. 2(3c + 9) 48. (3 + r )(r – 7) 49. 44,982 50. 2392 51. 14.021 52. 84.012 53. 11.82 54. 15.992 55. 30.1 + 7x 56. d – dh 57. 12.8 – n 58. 135b + 128 59. 18.6 + 15m 60. d – 42 61. –8.4 – 300g + 512h 62. –12k – 5m + 62 63. 6p – 14q + 30w 64. 36x + 10.8y – 72.9 65. 2 (5 – k) 66. 6 (8 + p) 67. (b – ) 68. 69. 4 (x – ) 70. 8x + 38 71. No; 2a • 2b = 4ab. 72. The student did not mult. the second number in parentheses, 10, by 4 to get the correct answer, 12x + 40. 73. Answers may vary. Sample: 2(x + 5) = 2x + 10 74. 4.78d 75. –76p2 – 20p – 9 76. –6.1t 2 + 13.7t 77. 1.5m – 12.5v 5 8 1 4 1 2 7 100 4 3 11 20 13 30 40 7 50 7 17 z – 34 1 3 11 12 1-7

The Distributive Property ALGEBRA 1 LESSON 1-7 78. n + n3 79. – k + h 80. 7m2 – mz + 4 81. 19 – 7t + 6y 82. 1.4b – 5b2 + 5c 83. –4xyz + 6xy 84. terms: –7t, 6v, 7, –19y, coefficients: –7, 6, –19, constant: 7 85. a. (84 + 10)50 ft2 b. 4700 ft2 71 42 86. 10 pennies, 7 nickels, 4 quarters, 1 dime 87. 4(1.02) + 3(0.99) + 3(0.52) = t ; $8.61 88. 27 + 3t 89. –6r + 37 90. –3m – 9 91. 2a + 2ab + abc 92. 14b + 42b2 93. 5y + 13z 94. 95. a. 2; 2 b. –2; –2 c. Yes; the two expressions are equal for the values of a, b, and c in parts (a) and (b). 96. a. 30; –8 b. 12, –6 c. No; parts (a) and (b) show the expressions are not equal. 107 120 3 20 3x – 10 3 1-7

The Distributive Property ALGEBRA 1 LESSON 1-7 97. D 98. G 99. A 100. F 101. D 102. H 103. C 104. I 105. –68 106. –4 107. 4 108. 7 109. 110. – 111. – 112. –3 113. –17 114. –2.386 115. 12.127 116. 45.3 117. 45.7 118. 2.57 119. 0.92 120. –9.6 1 6 121. –7.7 122. 23 123. a. 4 + b. 7; 5; 8 5 4 m 3 1 5 1-7