Chapter 2 Review Exercises 141 calories in a Burger King double Whopper. How many calories are in a Burger King double Whopper? (Source: http://fastfood.com/nutrition/burger_king.html) 36. The number of calories in a Wendy’s crispy chicken sandwich is 350 Cal. This is 70 Cal more than half the number of calories in a Wendy’s apple pecan chicken salad. How many calories are in a Wendy’s apple pecan chicken salad? (Source: http://wendys.com) 37. Lois invests a total of $1500 in Community Bank and Fulton Bank. The amount she invests in Community Bank is $140 less than the amount she invests in Fulton Bank. How much does Lois invest in each bank? 38. In 2011, the annual salary of Vice President Biden was $230,700. The annual salary of President Obama was $61,400 less than twice the salary of Vice President Biden. What was the annual salary for President Obama? (Source: http://usgovinfo.about.com) SECTION 2.3 Find the measure of each unknown angle. (See Objective 1.) 39. Find the measure of an angle whose complement is 34° more than the angle. 40. Find the measure of an angle whose complement is 12° more than the angle. 41. Find the measure of an angle whose supplement is 42° more than twice the measure of the angle. 42. Find the measure of an angle whose supplement is 28° less than five times the measure of the angle. Round answer to two decimal places. 43. (15b + 9)° (10b + 29)° 44. (36b – 16)° (15b + 68)° Use the perimeter, area, or circumference formulas to solve each problem. (See Objective 2.) 45. Find the length of the base of a triangle whose area is 60 square units and whose height is 15 units. 46. Find the length of the base of a triangle whose area is 75 square units and whose height is 25 units. 47. Find the circumference and area of a circle that has a diameter of 42 units. 48. If the perimeter of a rectangular park is 720 yd and the length of the park is 224 yd, find the width of the park. Use an appropriate formula to solve each problem. (See Objective 3.) 49. How long will it take Ricki’s account to earn $288 in simple interest if she invests $2400 at 3% annual interest? 50. How long will it take Bernadette’s account to earn $636 in simple interest if she invests $3180 at 4% annual interest? 51. As of 2011, the coldest temperature recorded on Earth is –129°F which occurred at Vostok, Antarctica, on July 21, 1983. Convert this temperature to degrees Celsius. Round answer to two decimal places. (Source: http://hypertextbook .com/facts/2000/YongLiLiang.shtml) 52. As of 2011, the highest temperature officially recorded in the United States is 134°F, which occurred at Greenland Ranch, California, on July 10, 1913. Convert this temperature to degrees Celsius. Round answer to two decimal places. (Source: http://hypertextbook.com/ facts/2000/MichaelLevin.shtml) Solve each formula for the specified variable. (See Objective 4.) 53. y = mx + b for m 54. Ax + By = C for A 55. A = P(1 + r) for r 56. V = 4πr2h for h SECTION 2.4 Graph the solution set of each inequality. Write the solution set in interval notation and set-builder notation. (See Objectives 1.) 57. x≥-6 58. x≥- 4 9 59. x < 10 60. -2 < x < 0 61. -20 > x>-25 62. -3 < x ≤ 9 Solve each inequality. Write each answer in interval notation. (See Objective 2.) 63. 30<-5a 64. 12≥-4a 65. 0.16(3x - 1) ≤ 0.8(4 - x) 66. 0.24(6x - 3) ≥ 0.28(1 - 2x) 67. 5 + 2(3 - x) < 5(x - 2) 68. 12 - 3(x - 4) ≥ 6(x + 1) 69. 4(3x - 5) ≥ 9x + 1 70. 5(2x + 1) < 18x - 19 71. 2.4 + 1.2(6 - x) < 0.9(2x + 7) 72. 6.3 - 3.2y < 6.8y - 13.7 73. 2 3 (6x - 3) > 4(2x - 7) 74. 1 2 (2x - 8) ≥ 2(x - 3) Write an inequality that models each situation. Solve the inequality and answer the question in a complete sentence. (See Objective 3.) 75. Ruben’s English course grade is based on a weighted average. The weights are as follows: tests (50%), term paper (30%), and final exam (20%). If Ruben’s test average is 78 and he scores 85 on his term paper, what must he score on the final exam to maintain at least an 80 course average?
hendricks_intermediate_algebra_1e_ch1_3
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