94 Chapter 1 The Set of Real Numbers Chapter 1 Review Exercises Section 1.1 For Exercises 1–4, identify as a proper or improper fraction. 1. 2. 3. 4. 5. Write 112 as a product of primes. 6. Simplify. For Exercises 7–12, perform the indicated operations. 7. 8. 9. 10. 11. 12. 3 4 5 2 13. The surface area of the Earth is approximately 7 10 510 million km2. If water covers about of the surface, how many square kilometers of the Earth is covered by water? Section 1.2 14. Given the set a. List the natural numbers. b. List the integers. c. List the whole numbers. d. List the rational numbers. e. List the irrational numbers. f. List the real numbers. For Exercises 15–18, determine the absolute value. 1 2 ` ` 06 0 017 0 00 0 15. 16. 17. 18. For Exercises 19–27, identify whether the inequality is true or false. 19. 20. 21. 6 7 1 0 6 5 10 0 22. 23. 24. 5 5 7 7 7 7 2 3 25. 26. 27. 2 3 0 3 57, 13 , 4, 0, 13, 0.2, p, 16, 1 10 5 1 3 1 7 9 68 34 20 12 21 24 16 49 7 8 1 16 2 9 3 4 84 70 7 1 3 3 1 6 14 5 For Exercises 28–31, evaluate each expression for x 8, y 4, and z 1. 28. x 2y 29. x2 y 30. 1x z 31. 1x 2y Section 1.3 For Exercises 32–37, write each English phrase as an algebraic expression. 32. The product of x and 2 3 33. The quotient of 7 and y 34. The sum of 2 and 3b 35. The difference of a and 5 36. Two more than 5k 37. Seven less than 13z For Exercises 38–43, simplify the expressions. 38. 63 39. 152 40. 136 1 1 2 a b 1100 4 41. 42. 43. a 3 2 3 b For Exercises 44–47, perform the indicated operations. 44. 15 7 2 12 45. 011 0 05 0 17 22 46. 42 15 222 47. 22 318 422 Section 1.4 For Exercises 48–60, add. 48. 6 8 49. 14 1102 50. 21 162 51. 12 152 2 7 a 1 9 b 52. 53. 1 10 5 6 a 8 11 b a 1 2 b a b a b b 54. 55. a 5 2 b a 1 5 56. 8.17 6.02 57. 2.9 17.182 03 0 7 0 3 0
miller_beginning_intermediate_algebra_4e_ch1_3
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