Solving Rational Equations ALGEBRA 1 LESSON 12-7 pages 675–677  Exercises 1. –2 2. 3 3. –1 4. 6, –1 5. – 6. –2, 4 7. 1, 4 8. 5 9. 1, 3 10. 11. 1 3 16 12. –4 13. –2 14. –1 15. – 16. 1 h 17. 12.7 min 18. 3 19. 10, –10 20. – , 4 21. 4 22. no solution 23. 6 2 3 5 7 24. –14 25. , 2 26. 3 27. –5, 2 28. –1 29. 30. – , –1 31. 0, 2 32. 12 h 33. a. 32 b. Answers may vary. Sample: Cross-multiplying; I think it's quicker. 1 2 6 5 12-7

Solving Rational Equations ALGEBRA 1 LESSON 12-7 35. (continued) c. Yes; the x-values are solutions to the original equation since both sides are equal. 36. 66.6Ω 37. 20Ω 38. 3.75Ω 39. 20Ω 40. Answers may vary. Sample: = 41. 40 mi/h 42. 9 43. 0, 44. –1 33 (continued) c. No; it only works for rational equations that are proportions. 34. a = 4, b = , c = 11, d = – 35. a. y1 = + 1, y2 = b. (–9.53, 1.07), (–4.16, 1.35), (–1.12, 5.76), (0.81, 10.16) 1 3 6 x2 (x + 7)2 7 27 2b b + 2 6b 4b + 3 1 2 12-7

Solving Rational Equations ALGEBRA 1 LESSON 12-7 45. 1 46. 23.5 min 47. a. 0.80s b. 50 – s c. 0.30(50 – s) d. 0.8s + 0.3(50 – s) = (0.62)(50) e. 32 f. 32 L of 80% solution and 18 L of 30% solution 48. 11 h 49. B 50. G 51. C 52. [2] = ; 2(3 + x) = 16 + x 6 + 2x = 16 + x x = 10 = [1] appropriate method, but with one computational error 53. – 54. 55. 3 + x 16 + x 1 2 3 + 10 16 + 10 13 26 3 x 2y 2z 3h 2 + 2ht + 4h 2(t – 2)(t + 2) –4k – 61 (k – 4)(k + 10) 12-7

Solving Rational Equations ALGEBRA 1 LESSON 12-7 56. 57. 58. 59. 60. 61. 62. –18, –5 63. 8, 11 64. –23, 1 65. –8, 6 66. –13, –4 67. –91, –1 12-7