Section 2.6 Absolute Value Equations 123 SECTION 2.6 EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. Can the absolute value of an expression equal zero? Explain. 2. Can the absolute value of an expression equal a negative number? Explain. 3. Explain the steps for solving an equation with one absolute value expression. 4. Explain the steps for solving an equation with two absolute value expressions. Practice Makes Perfect! Solve each equation. (See Objective 1.) 5. uxu = 10 6. uxu = 1 7. u2x + 3u = 2 8. u3x - 1u = 5 9. u4 - yu = 6 10. u6 - yu = 3 11. uau =-9 12. uau =-4 13. u4x + 3u =-6 14. u5x - 1u =-2 15. u4x + 3u - 6 = 8 16. u6x - 5u + 1 = 3 17. u4 - 7xu + 8 = 2 18. u1 - 3xu + 5 = 4 19. ` 1 - 4x 5 ` + 5 = 5 20. ` 2 - 3x 6 ` + 1 = 1 21. ` 5x + 3 2 ` + 4 = 9 22. ` 6x + 5 3 ` + 2 = 3 Solve each equation. (See Objective 2.) 23. u4x + 3u = u5x - 1u 24. u6x - 3u = u7x + 4u 25. u5 - xu = u3x + 2u 26. u5 - 2xu = ux + 5u 27. ux - 1u = u6x - 6u 28. u4x + 8u = u3x - 9u 29. u3x + 7u = u2x - 8u 30. u7x - 10u = u10x - 5u 31. ` y - 3 2 ` = uy + 2u 32. ` y + 1 3 ` = u2y - 1u 33. ` a + 2 5 ` = u3a + 3u 34. ` a + 4 6 ` = ua - 4u 35. ` x - 6 3 ` = ` 3x 4 ` 36. ` x - 4 4 ` = ` 2x 7 ` Solve each problem. (See Objective 3.) 37. Estimate the absolute error when the value 22 7 is used for π. Round to five decimal places. 38. Estimate the absolute error when the value 3.141593 is used for π. Round to 10 decimal places. 39. Estimate the absolute error when the value 2.72 is used for e, where e is 2.71828182846. Round to five decimal places. 40. Estimate the absolute error when the value 2.71828 is used for e, where e is 2.71828182846. Round to 10 decimal places. 41. Suppose a digital scale reflects a weight (in pounds) with an absolute error of 0.4 lb. If someone weighs 184.3 lb according to the scale, find the possible values for the exact weight of the person. 42. Suppose a countertop food scale reflects a weight (in ounces) with an absolute error of 0.1 oz. If a piece of chicken weighs 3 oz according to the scale, find the possible values for the exact weight of the piece of chicken. 43. Jana Lipsey and Linda Easley are running for the same congressional seat. Currently, 51% of those polled will reportedly vote for Lipsey and 45% of those polled will reportedly vote for Easley. If the pollsters report an absolute error of 3 points, find the possible values for the actual percentage of those polled who will reportedly vote for Lipsey and Easley. 44. Alexis Johnson and Steve Hunter are running for the same office. Currently, 42% of those polled will vote for Johnson and 48% of those polled will vote for Hunter. If the pollsters report an absolute error of 2 points, find the possible values for the actual percentage of those polled who will reportedly vote for Johnson and Hunter. Mix ’Em Up! Solve each problem. 45. u10x - 3u = 15 46. u8x - 11u = 12 47. u4 - 5xu = 4 48. u6 - 2xu = 3 49. ` 7x + 5 3 ` = ` 2x 5 ` 50. ` 4x - 9 6 ` = ` 3x 5 ` 51. ` 5x - 6 2 ` - 1 = 12 52. ` 3x + 10 4 ` + 2 = 5 53. u10 - 3xu + 8 = 3 54. u2 - 5xu + 3 = 1 55. u5x + 2u = u6x - 7u 56. u8x - 9u = u2 - 3xu 57. ` 9x 5 ` = 3 58. ` 10x 3 ` = 2 59. u2x + 1u = 0 60. u7x - 8u = 0 61. u0.4x - 1.5u = 6.3 62. u0.3x + 4.2u = 12.6 9x + 10 63. ` 5 ` - 3 = 12 64. ` 8x - 3 4 ` + 4 = 9
hendricks_intermediate_algebra_1e_ch1_3
To see the actual publication please follow the link above