�� ���������������� �������� EXERCISE SET Write About It! Use complete sentences to explain how to perform the given operation. 1. Add two negative numbers 2. Add a positive number and a negative number Practice Makes Perfect! Perform the indicated operation and simplify. (See Objective 1.) 3. 1.95 + 10.26 4. 1.37 + 2.56 5. -5 + (-4) 6. -7 + (-9) 7. - 1.68 + (-6.77) 8. -4.33 + (-11.86) 9. 9 10 + 3 5 10. 13 14 + 3 4 11. -2 + a- 3 5 b 12. -1 + a- 5 7 b 13. a- 1 10 b + a- 3 4 b 14. a- 1 3 b + a- 3 8 b 15. a-3 1 4 b + a-1 1 4 b 16. a-2 1 5 b + a-1 3 5 b 17. -4 + (-12) + (-9) 18. -13 + (-8) + (-14) 19. -5.5 + (-2.4) + (-3.1) 20. -6.2 + (-4.2) + (-5.8) Perform the indicated operation and simplify. (See Objective 2.) 21. 1 + (-3) 22. 4 + (-7) 23. -6 + 10 24. -30 + 15 25. 6 + (-10) 26. 30 + (-18) 27. (-1.5) + 3.6 28. (-4.1) + 0.8 29. 1.6 + (-4.2) 30. 3.7 + (-1.9) 31. 2 3 + a- 4 5 b 32. 4 7 + a- 1 14 b 33. 1 1 3 + a-2 2 3 b 34. 3 3 8 + a-4 5 8 b 35. 15 + (-9) + (-2) 36. 18 + (-8) + (-5) 37. -21 + 9 + (-3) 38. -19 + 11 + (-6) Solve each problem by fi rst writing a mathematical expression that represents the situation. (See Objective 3.) 39. Daimler reported a net income of -332 million euros in 2008, -4765 million euros in 2009 and 5399 million euros in 2010. What was Daimler’s total net income for 2008 to 2010? (Source: www.daimler.com) 40. United Airlines reported a total operating income of $1037 million in 2007, -$4438 million in 2008, -$161 million in 2009, and $976 million in 2010. What was United’s total operating income for 2007 to 2010? (Source: www.united.com) Mix ’Em Up! Perform the indicated operation and simplify. (See Objectives 1 and 2, 4 and 5.) 41. -1.5 + (-3.6) 42. (-4.1) + (-0.8) 43. 1.27 + (-3.73) 44. 1.98 + (-3.19) 45. - 10 3 + 1 6 46. a- 3 2 b + a- 10 3 b 47. 2 + a- 3 7 b 48. a1 2 b + a- 5 6 b 49. a-3 1 2 b + 1 1 4 50. a-1 2 5 b + 2 4 5 51. (-6) + 5 52. (-9) + 4 53. 5.6 + (-6.2) 54. 1 5 8 + a-2 3 8 b Translate each phrase into a mathematical expression and then simplify the result. 55. 2 more than -5 56. 6 more than -1 57. The sum of -3 and -4 58. The sum of 7 and -10 59. 12 increased by -4 60. -7 increased by 3 61. 9 added to -2 62. -4 added to -1 Write the expression needed to solve each problem and then answer the question. (See Objective 3.) 63. According to an article in the Washington Post in April 2005, Apple Computer Inc. had a profit of $46 million in 2004. In 2005, the profits of Apple were $244 million more than the profit in 2004. This boost in Apple’s profits was due to the increased popularity of the iPod. What was the profit of Apple Computer in 2005? 64. On August 1, 2006, the average retail price of regular gas in Atlanta, Georgia, was $2.93 per gal. Over the next 2 months, gas prices fell by $0.93 per gal. Gas prices then rose by $0.21 per gal during the following 2 months. By January 2007, gas prices fell $0.25 per gal. What was the average retail price of regular gas in Atlanta, Georgia, in January 2007? 65. On August 1, 2006, the average retail price of regular gas in San Francisco, California, was $3.15 per gal. Over the next 2 months, gas prices fell by $0.58 per gal. Prices fell by $0.15 per gal the following months. By January 2007, gas prices rose by $0.25 per gal. What was the average retail price of regular gas in San Francisco, California, in January 2007? 48 Chapter 1 Real Numbers and Algebraic Expressions
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