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Algebra II Fall Final Exam Review

Algebra II Fall Final Exam Review. NAME _________________ Date________________ Period_________________. Part I: Transformations of parent functions. Use the concept of transformations of functions to write the equation from the graph. 7. f(x) = __________________.

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Algebra II Fall Final Exam Review

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  1. Algebra II Fall Final Exam Review NAME _________________ Date________________ Period_________________

  2. . Part I: Transformations of parent functions Use the concept of transformations of functions to write the equation from the graph. 7. f(x) = __________________ 8. f(x) = __________________

  3. 8. f(x) = __________________ 9. f(x) = __________________ Part 2: Determine whether or not the following relations are functions. 10.

  4. Part 3: State the domain and range for each of the following data. 11. {(-1, 3) (5, 2) (2, 3) (-1, 2) (4, 3)} Domain ____________________ Range ____________________ 12. 13. 14. Part 4: Solve the following equations. 15. 16. 18. 6x + 2(3 – x) = 7x + 1 17. 6x – 3(6 – 5x) + 3x = 10 – 4(2 – x)

  5. Part 4: Continued Solve for b Solve for P 19. 20. 21. 22. 23. 24. 25. 3y + 6 < 15 or 1 – 3y < -11 26. –6 < 4 – 2x < 12 27. –4y + 8 > 16 or 3y – 5 > 5

  6. Part 5: Write the equation of the line from the given information. 28. passing through ( -3, 8) and (5, 4) 29. passing through ( 2, -4) and (0, 2) 30. parallel to 2x + y = 10 , passes through (2, -2) 31. passing through ( -5, 2) with a slope of 3 32. undefined slope , passes through (4, 2) 33. Perpendicular to y = -2x – 7 and passes through ( 2, -4)

  7. Part 6: Determine the slope, x-intercept, y-intercept from the following equations. 34. 8x - 2y = 6 35. 3x + 9y = 18 Part 7: Solve the following systems of equations using the most appropriate method. 36. x – 4y = 1 -2x + 5y = 4 37. x + y = 10 3x – 2y = 5 39. x = -3y + 9 3x + 2y = -1 38. y =-x + 4 x – 2y = 2

  8. 38. 4x - 2y + z = 2 -x - 3y = - 2z -5 2x = y -3z -4 39. 4x - y + z = 3 x + 2y + z = 0 3x + 7y - 3z = 6 40. A group of 42 people go to the zoo. The admission price is $6 for adults and $3 for kids. If the group spends $162, how many adults and kids were in the group? To call London, a long distance phone company charges a fixed rate for the first minute and a different rate for each additional minute. If a 12 minute phone call costs $2.35 and a 25 minute call costs $3.65, how much are their rates? 41. 42.

  9. Part 8: Determine the inverse of each of the following. 43. {(2, 3) (4, -1) (5, 1) (-3, -7) (3, -4)} 44. y = 5 – 8x 46. 45. 47. 48.

  10. Part 9:Graph the system of inequalities. 50. 51.

  11. Part 10: Determine the value for the given function. 51. Part 11: State the domain, range, vertex, axis of symmetry, zeros, and y-intercept. f(x) = -(x - 5)2 – 3 f(x) = x 2 -15x +56 52. 53. 54. y = -2 (x -4)2 + 6

  12. Part 12: Factor each of the following expressions completely. 55. A. x3 - 2x2 + 8x B . C. 2x² + 3x + 1 D. E. 6x² + 12x F. x² + 5x + 6 Part 12: Solve the following quadratic equations by using the quadratic formula. 56. 57.

  13. Part 13: Graph the following quadratic inequalities. Write the solution as a conjunction or a disjunction • Make a sign graph. 58. x2 - 2x - 8 > 0 59. -2x2 + 7x - 4 < 0 f(x) < (x - 3)2 + 1 61. 2x2 - 3x > 2 60.

  14. Part 14 : Use the laws of exponents to simplify the following 63. 64. 62. 65. 66. Part 15: Verify that the following functions are inverses. 67. f(x) = 3x – 6 and g(x) = x + 6 68. f(x) = ½ x – 4 and g(x) = 2x + 8

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