Review Exercises 115 For Exercises 24–29, simplify the expressions. 24. 25. 26. 63 216 152 225 136 6 27. 28. 29. For Exercises 30–33, perform the indicated operations. 30. 31. 15 7 2 12 011 0 05 0 17 22 13 11 42 15 222 22 318 422 32. 33. Section 1.3 For Exercises 34–46, add. 34. 2 35. 4 6 8 14 1102 21 162 15 12 152 17 36. 37. 38. 39. 5 22 a 1 5 b 1 10b a 5 6b 40. 41. 27 10 a 8.17 6.02 2.15 2.9 17.182 4.28 42. 43. 13 122 182 5 172 20 8 44. 3 45. 46. 47. Under what conditions will the expression be negative? 48. The high temperatures (in degrees Celsius) for the province of Alberta, Canada, during a week in January were and 7. What was the average high temperature for that week? Round to the nearest tenth of a degree. Section 1.4 For Exercises 49–61, subtract. 49. 13 25 12 50. 31 122 33 51. 1 52. 17 8 172 2 15 9 8 7 9b 5 6 53. 54. 19 24 1 3 29 18 a 8, 1, 4, 3, 4, 0, a b 2 5 182 172 0 13 112 4 5 2b a 14 15 a 11 8 b a1 b 63 1122 7 a 1 9b 27 8 a3 2b3 1 16 a1 4b2 1 10 1 1100 Section 1.1 1. Given the set 13 a. List the natural numbers. 7, 1 b. List the integers. 7, 0, 1 c. List the whole numbers. 7, 0, 1 d. List the rational numbers. 7, e. List the irrational numbers. f. List the real numbers. , 4, 0, 0.2, 1 13, p For Exercises 2–5, determine the absolute value. ` 06 0 017 0 00 0 1 2 ` 2. 3. 4. 5. For Exercises 6–13, identify whether the inequality is true or false. 6. 7. 8. 6 7 1 0 6 5 10 0 9. 10. 11. 5 5 7 7 7 7 12. 13. True For Exercises 14–17, evaluate the expressions for x 8, y 4, and z 1. 14. x 2y 0 15. x2 y 60 16. 1x z 3 17. 1x 2y 4 Section 1.2 For Exercises 18–23, write each English phrase as an algebraic expression. 18. The product of x and 19. The quotient of 7 and y 20. The sum of 2 and 3b x 21. The difference of a and 5 22. Two more than 5k 23. Seven less than 13z 2 3 2 3 2 3 0 3 7, 13 , 4, 0, 13, 0.2, p, 1 4, 57, 13 , 4, 0, 13, 0.2, p, 16, 1 6 27 0 2 False False True True True True False 7 y or 7 y 2 3b a 5 5k 2 2 3 or 2 3 x 13z 7 7 10 When a and b are both negative or when a and b have different signs and the number with the larger absolute value is negative. 1.9°C Chapter 1 Review Exercises Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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