Algebra 1 FERP Answer Key (2016) 4 11 2. x = 41 3. x = -24 1 4. y = x 2 4 1. x = 9. y= x 10. PSF: y – 5 = 7(x + 2) or y = 5 + 7(x + 2) SIF: y = 7x + 19 SF: 7x – y = -19 PSF: y + 3 = 3(x – 1) or y = -3 + 3(x – 1) or y – 3 = 3(x – 3) or y = 3 + 3(x – 3) SIF: y = 3x – 6 SF: 3x – y = 6 1 y = x 1 3 y > 2x + 4 y=2 x ≥ -6 3 x≤ 4 -3 < x < 1 -9 ≤ x ≤ -3 (5, -4) no solution (1, -4) x + y = 500; 2x + 5y = 1789 237 student tickets sold, 263 adult tickets x + y = 120; y = x + 20 50 nickels, 70 dimes x = -6, 1 x = 3, 9 (3, -1) (-3, -1) 1 x y 6; y x 4 3 11. 5. y = 3x – 6 12. 13. 14. 15. 6. 7. y= 5 x2 4 x=5 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 8. y = -2 Algebra 1 FERP Answer Key (2016) 29. 30. 31. 1 y 2x 4 ; y x 1 2 2 x2 3 y x 3 y a. 4 2 32. a. 2 6 33. a. 34. 35. 36. 5 2 2 7 3x 5 y4 38. 27b 4 10ac 6 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. (9y2 + 5)(y + 2) (x + 3)(x2 – 5) 2x(x – 5)(x – 3) 3x(x – 5)(x + 1) (2x – 5)2 9w2z3(4w3z5 – 1 + 2wz3) (x – 6)(x – 5) 59. 60. 61. 62. 63. 64. x = 3 2 2 x = -1, 9 x = 2 , 15 x = 5 x = -2/5, 1 x = 0, 1/4 65. x = 2 2 3 66. x 67. x = 44 3 b. 2 14 b. 45 2 b. a. 2 x 5 x 4 x6 6x 7 y 4 37. 52. 53. 54. 55. 56. 57. 58. 3 3 3 12 b. 4 x y9 8 x15 4 x14 9 y6 cubic polynomial linear binomial quadratic trinomial 2 z 3 2 z 2 3z 13 12t 4 t 8 x 2 4 x 45 3x 2 10 x 8 16 x 2 56 x 49 6 x 3 7 x 2 36 x 40 (x + 7)(x – 7) (4x + 5)(4x – 5) 6x 1 2 2 x = -8 x = 5, 9 No solution x = 52 x=4 D: all real numbers; R: y ≤ 4 D: x ≥ 0; R: all real numbers 25 81 V:(4, -26) AoS: x = 4 V:(-2, 1) Aos: x = -2 V:(3, 7) AoS: x = 3 V:(-8, -5) AoS: x = -8 x = -5 (double root); discriminant = 0 x = 1, 5; discriminant > 0 no real solutions; discriminant < 0 -8 56 0 Starting Height: 40 meters Height after 6 seconds: 128.2 meters Time to reach highest point: 2.76 sec Highest point: 77.19 meters Time to hit ground: 6.72 sec 68. x 69. 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. 3 15 2 Algebra 1 FERP Answer Key (2016) 89. 90. Starting Height: 6 feet height after 5 seconds: 126 feet Time to reach highest point: 1.31 sec Highest point: 33.56 feet Time to hit ground: 2.76 sec y = x2 + 4x – 5 91. y = x2 – 8x + 12 92. 93. 94. 95. 96. 97. 98. 99. 100. Correlation Causation Correlation Biased Unbiased Biased 30.5% 65.4% 48%
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