Multiplying and Dividing Rational Expressions

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Presentation transcript:

Multiplying and Dividing Rational Expressions ALGEBRA 1 LESSON 12-4 pages 659–661 Exercises 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 4(t + 1)(t + 2) 14. 3(2m + 1)(m + 2) 15. 16. 17. – 18. 19. 20. 21. 6 22. – 23. – 24. 25. 26. 27. 28. 29. t + 3 1 3 x – 1 x + 3 35x 36 1 2 1 2 12 t 2 3(4x + 1) x – 1 1 3 40 3a5 m(m – 2) (m + 2)(m – 1) 2(x + 2) x – 1 (x – 1)(x – 2) 3 n – 3 4n + 5 2x(x – 1) 3(x + 1) x + 1 2 3 x 12x2 5(x + 1) 2d – 5 6d 2 11 7k – 15 2c c – 1 1 c2 – 1 1 x + 1 5x4 2 1 s + 4 9 t 12-4

Multiplying and Dividing Rational Expressions ALGEBRA 1 LESSON 12-4 30. 31. 32. 33. 34. 35. The student forgot to rewrite the expression using the reciprocal before canceling. 36. Answers may vary. Sample: • ; 37. 0, 4, –4 38. $88.71 c + 1 c – 1 39. $132.96 40. a. $100,000 b. 360 payments c. $599.55 d. $215,838 41. 42. 43. 44. 45. She wrote w5 as a fraction so she could easily see what she could cancel. 3t – 5 7t 2 5(2x – 5) x – 5 x – 2 x – 3 x – 2 4(x + 7) x – 5 x 2m2(m + 2) (m – 1)(m + 4) 2 a + 5 r + 3 (r – 1)(r + 1)2 9(m + 1) 3m2 m + 2 3(m + 1) m + 2 m2 12-4

Multiplying and Dividing Rational Expressions ALGEBRA 1 LESSON 12-4 46. a. b. 47. 48. 1 49. 50. 51. 52. 53. 54. B 55. G x(3x + 2) 4(2x + 1)2 x(x – 2) 2(x – 1) m – 2 2m(m – 1) x 2 1 (w + 2)(w + 3) –(2a + 3b)(a + 2b) (5a + b)(2a – 3b) 9m 2(m + 1) 2 56. D 57. G 58. [2] • = = 3(x + 1) [1] one computational error OR answer with no work shown 59. 60. 61. 62. 63. x 2 – 1 x 3x x – 1 (x + 1)(x – 1)(3x) x(x – 1) b – 5 3 4k 7 q4 4 5t 2 – 9 8 y + 5 12-4

Multiplying and Dividing Rational Expressions ALGEBRA 1 LESSON 12-4 64. 65. 66. 67. 68. 8.2 69. 5.3 70. 5 71. 11 72. 0.2 73. 7.1 1 2a2 – 3 2z + 3 z + 1 2c – 9 2c + 8 76. 74. 75. m2 2 – 3m 12-4