Algebra 2 Fall 2010 Answers to the First Semester Review Simplify or Evaluate 1. 2. 3. 4. 24 5. 40 6. 7. 21 8. 24 9. 30 24 Find the Domain and Range 10. Domain: {1, 4, -3, -10, 0} Range: {5, 8, -8, 4, 6} 11. Domain: Range: 12. Domain: Range: 13. Domain: Range: 14. Domain: Range: 15. Domain: Range: 16. Domain: Range: Tell whether the relation is a function or not. 17. Yes 18. Yes 19. No 20. Yes 21. Yes 22. No 23. No 24. Yes x = -10 26. X = 32 27. X = -12 Solve 25. 28. 29. 31. 30. 32. 34. 35. 33. 36. Use the functions below to answer 37-43. 37. -7 40. 43. 38. 41. -29 Matrices -53 39. 42. A. (2, 3) b. 4 44. Not Possible 45. 47. Not Possible 48. 46. Not Possible Factor Completely 49. 50. 51. 52. 53. 54. 55. 56. Graph 57-62 Quadratics 63-66: 63. Vertex: (0, -2) Axis of Symmetry: x = 0 Y-Intercept: (0, -2) Reflection of Y-Intercept: none Domain: Range: 64. Vertex: (0, 1) Axis of Symmetry: x = 0 Y-Intercept: (0, 1) Reflection of Y-Intercept: none Domain: Range: 65. Vertex: (3, 2) Axis of Symmetry: x = 3 Y-Intercept: (0, -7) Reflection of Y-Intercept: (6, -7) Domain: Range: 66. Vertex: (-5, -3) Axis of Symmetry: x = -5 Y-Intercept: (0, 2) Reflection of Y-Intercept: (-10, 2) Domain: Range: Write the equation given by the description or the graph: 67. 68. 69. 70. 71. 72. 73. 74. Find the X and Y intercepts: 75. X Y (-2, 0) and (3, 0) ((0, 6) 76. X Y (-1, 0) and (-4, 0) (0, 4) 77. X Y (-1.5, 0) and (9.6, 0) (0, 15) 79. X (0, 2) Y 78. X Y 84. One (-3, 0) and (1, 0) (0, 6) (-2.5, 0) Write the function with the given roots: 80. 81. Systems of equations: 82. None, Parallel 83. One 85. None, Parallel 86. 220 adult tickets were sold 87. $79.25 88. 46 movies and 52 cd’s 89. x = 1, y = 2, z = -1 90. X = 1.14, y = -2.29, z = 2.14 91. Perpendicular 92. Neither 93. Rate of change = 9 10 Graph and state the following: 94. Axis of symmetry: x = 0 Vertex: (0, 1) Y-intercept: (0, 1) Symmetric point: none Roots: no real roots 95. Axis of symmetry: x = 2 Vertex: (2, 16) Y-intercept: (0, 12) Symmetric point: (4, 12) Roots: 6 and -2 96. Axis of symmetry: x = 0 Vertex: (0, -3) Y-intercept: (0, -3) Symmetric point: none Roots: No real roots 97. Axis of symmetry: x = 2 Vertex: (2, 3) Y-intercept: (0, 7) Symmetric point: (4, 7) Roots: no real roots