23. (-3, 8); y = 2x2 + 3x - 1 24. (0, 1); y = 2x2 + 3x - 1 25. (0, -4); y = ux - 4u 26. a- 1 2 , 3b; y = u4x - 1u 27. (4, 0); y = x - 4 x + 2 28. (-2, 0); y = x - 4 x + 2 Plot each ordered pair on the Cartesian coordinate system and state the quadrant or axis where each point is located. (See Objective 2.) 29. (1, 5) 30. (5, 1) 31. (-6, 2) 32. (2, -6) 33. (3, -4) 34. (-4, 3) 35. a7 2 , - 1 2 b 36. a1 2 , 7 2 b 37. (-6.2, -2.4) 38. (-3.5, 7.2) 39. (0, -5) 40. (-3, 0) 41. (2, 0) 42. (0, -4) 43. (π, -6) 44. (4, π) Identify each point plotted on the coordinate system and state the quadrant or axis where each point is located. (See Objective 2.) 45. A 46. B 47. C 48. D 49. E 50. F 51. G 52. H 53. I 54. J Identify the quadrant or axis where each point is located. (See Objective 2.) 55. (5, -3) 56. (-2, -6) 57. (4, 10) 58. (-9, 15) 59. (0, -10) 60. (15, 0) 61. (1.2, 3.7) 62. a- 1 5 I , 80b 63. a- 1 4 , 0b 64. (0, 20) Graph each equation by completing a table of solutions. (See Objective 3.) 65. y = x + 2 66. y = x - 3 67. y = -2x + 4 68. y = -3x - 6 69. y = x2 + 2 70. y = x2 - 3 71. y = -x2 + 4 72. y = -x2 - 1 73. y = ux - 3u 74. y = ux + 2u Use the given graph of an equation to determine if each ordered pair is a solution of the equation. (See Objective 4.) 75. (-2, -3) 76. (0, -1) 77. (3, 5) 78. (-2, 2) 79. a1 2 , 0b J H A G E F D C B 4 4 8 8 –4 –8 –8 x y 2 2 4 –4 –2 4 –4 x y 80. (0, 2) y 81. (-2, 0) 4 82. (3, 1) 2 83. (-4, -2) 84. (-6, 4) –4 –2 2 –2 85. (-5, 3) 86. (3, 5) –4 Use the graph to complete the ordered pair that is a solution. (See Objective 4.) y 87. (0, ____) 6 88. (-1, ____) 4 89. (____, 0) 2 90. (____, 2) 91. (3, ____) 92. (____, -6) Use the table or graph to answer each question. (See Objective 5.) 93. The table shows the U.S. unemployment rates between –4 –2 2 x –2 2001 and 2010. (Source: Bureau of Labor Statistics) Years After 4 4 6 2001 0 1 2 3 4 5 6 7 8 9 Unemployment Rate (percent) 4.7 5.8 6.0 5.5 5.1 4.6 4.6 5.8 9.3 9.6 a. Write the ordered pairs (x, y) that correspond to the x data in the table, where x is the years after 2001 and y is the unemployment rate. b. Interpret the meaning of the first and last ordered pairs in the context of the problem. c. In what year was the unemployment rate the highest? The lowest? d. Make a scatter plot of the data. 94. The table lists the approximate salary of Peyton Manning, quarterback for the Indianapolis Colts, for 2003–2009. (Source: http://content.usatoday.com/sportsdata/ football/nfl/salaries/player/Peyton-Manning) Years After 2003 0 1 2 3 4 5 6 Salary (in millions) $11.3 $35 $0.7 $10 $11 $11.5 $14 a. Write the ordered pairs that correspond to the data in the table, where x is years after 2003 and y is Manning’s salary (in millions of dollars). b. Interpret the meaning of first and last ordered pairs in the context of the problem. c. In what year was his salary the highest? The lowest? d. Make a scatter plot of the data. 206 Chapter 3 Linear Equations in Two Variables
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