Name: ____________________________________________________________________ Pre-AP Algebra 2 Summer Review Worksheet This worksheet is to be completed over the summer. It will be due on the 1 st day of class in Pre-AP Algebra 2. Anyone who does not turn in this assignment will be given a 0. There will be no late grades for this assignment. All work shown be done on notebook paper and attached. Solve each equation and justify each step. 1. 4t + 13 = 5 2. 6.3 = 2x - 4.5 3. -2(d + 6) = -10 4. -5v = 6v + 5 – v 5. 2y + 3 = 3(y + 7) 6. 3(t + 7) + 2 = 6t -2 + 2t Solving each system of equations by the indicated method. Write your answers as ordered pairs. 7. Solve by using substitution. 8. Solve by using elimination. 9. Solve by using elimination 10. Solve by using elimination 11. Solve by using substitution Name: ____________________________________________________________________ Factor each expression. If the expression cannot be factored, write “prime.” 12. x2 – 14x + 49 13. x2 – 9x + 18 14. 25x2 – 9 15. x2 + 4 16. 7x2 – 50x + 7 17. x3 + 6x2 -7x 18. x3 – 9x 19. 4y2 - 36 20. (2x - 5) (x + 3) 21. (x – 8) (x – 12) 22. (5x + 6) (5x – 6) 23. (x + 8)2 Simplify each expression Solve each quadratic by factoring or by quadratic formula. 24. 7x - 10 = x 25. x - 14x = -49 26. x - 49 = 0 27. a - 4a = 21 29. x-y=1 Graph the given line using x- and y- intercepts. 28. x - 4y = 4 y –5 –4 –3 –2 y 5 5 4 4 3 3 2 2 1 1 –1 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 –1 –2 –2 –3 –3 –4 –4 –5 –5 1 2 3 4 5 x Name: ____________________________________________________________________ Find the slope of the line containing the two given points. 30. (3, -1) and (4, 6) 31. (-12, 6) and (-10, -10) 32. (-2, -1) and (6, 5) 33. (3, 5) (-6, -4) 35. 2y + x = 6 Graph each line using slope-intercept form. 34. y - 2x = -4 y y 5 5 4 4 3 3 2 2 1 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –5 –2 –1 –1 –3 –3 –4 –4 –5 –5 Find the equation of each line using the given information. and containing the point (8, -3) 37. Slope of 3, containing the point (-1, -4) 38. Contains the point (0, 2) and (2, 6) 39. Contains the points (-3, 6) and (2, 1) 40. Parallel to y = 2x - 5, passing through the point (4, -1) 41. Parallel to y = –3 –2 –2 36. Slope of –4 x - 2 and passing through the point (-4, 1) 42. Perpendicular to y = x + 5, passing through the point (-6, 5) 43. Perpendicular to y = -2x - 4, and going through the point (-8, 5) 1 2 3 4 5 x Name: ____________________________________________________________________ Simplify. 44. 54 56. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. Name: ____________________________________________________________________

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