ANSWERS FOR 2.6 For use with pages 103–107 2.6 Guided Practice 2. 6 and 7, 3x2 and 9x2, 3y and 4y 4. The distributive property was completed incorrectly. 7 4x 38. 20 15y 40. 9a 54 42. 24t 2t2 44. 2x2 16x 6. 7y 133 46. 6w2 3w3 8. 4u 8 48. y3 y2 2 3 10. t 16 12. 2; 0.05; 17.55 14. 2x2 16. Algebra 1 Answer Transparencies Copyright © McDougal Littell Inc. 36. 7s s2 4x2 4x 8 50. 7y 52. 7 x 54. 4 2a 56. 1 w 9 18. 9w 12 2x2 58. 5x2 7 2.6 Practice and Applications 60. 5b 5 20. true 62. 8 5a 22. false; 913 213 64. 5x 3x2 24. true 66. 10y 8 26. 4w 24 68. 3x3 2x2 28. 28 4m 70. 1.06x 21.2 30. 3r 24 72. A 32. 2x 12 74. 15,897.6 tons 34. 3y y2 76. 5220; 5180 19 ANSWERS FOR 2.6 (CONT.) For use with pages 103–107 Algebra 1 Answer Transparencies Copyright © McDougal Littell Inc. 78. Input Output 1 240 2 285 3 330 4 375 5 420 6 510 7 555 8 600 9 645 10 690 11 735 12 780 13 825 14 870 15 915 16 960 80. 4x 12 82. 92x 4 18x 36; 84. T 0.15C; Distributive 86. Let C the cost; C 2x 3000. 88. $3350 90. Sample answer: Let a rec- tangle have one dimension x 2 and the other 7. The area of the rectangle is x 27. The sum of the areas of the smaller rectangles is 7x 14. 92. Sample answer: Suppose that neither x nor y is zero. If 2xy 2x 2y, then 2xy 4xy 2xy 4xy, and xy xy which implies that 2 4. Clearly this is not true. (If x 0 or y 0, then 2xy is equal to 2x 2y, since both are equal to 0.) 18x 36 20 ANSWERS FOR 2.6 (CONT.) For use with pages 103–107 2.6 Mixed Review 94. 96. 7 2 2. –63 1 7 6. –3 98. 121 100. Quiz 2 2 9 102. 4 4 104. 2 23 4. 14 8. 110 10. 7.1t 12. 10b3 14. 43x 16. 8t 18. 20y 10 106. 7 108. 3 110. –12 Algebra 1 Answer Transparencies Copyright © McDougal Littell Inc. 112. 1 21