CP Algebra Semester 1 Review – Part A Good Luck To: ______________________ Evaluate each expression. 1. 15 + 32 – 6 2. 7 + 2(9 – 3) 4. 8 * 4 – 6 * 5 5. [(25 – 5) 9]11 6. 11 4 2 52 4 2 7. 18 * 3(1 3) 8. [5 (8 – 6)] 2 5 9. (16 – 42) + 9 10. 2 1 4(4 2 7) 2 Evaluate each expression if a = 4, b = 3, and c = 9. 11. 5b2 c 12. (a2 + 2bc) 7 Rewrite each expression using the Distributive Property 13. (9y – 6)(-3) 14. -6(4z + 3) Solve each equation. 15. n 7 2 4 16. r4 7 3 18. f 9.2 3.5 3 17. 6g – 3.5 = 8.5 19. 4 3u (7) 8 20. 8m + 7 = 5m + 6 21. 2h – 14 = -5h 22. x 3 x 4 2 23. 3(p + 4) = 33 24. 4(3w – 2) = 8(2w + 3) Evaluate each expression if m = -8, n= 4, and p = -12 25. |3m – n| 26. |-2p + m| - 3n Solve each equation. 27. |x – 6| = 11 28. |-4w + 2| = 14 1 29. | d – 6| = 15 3 30. | 2b + 8| = 20 3 Solve each equation for the variable indicated. 31. 14w + 15x = y – 21w, for w 32. m = 2 y + n, for y 9 Find the slope of the line that passes through each pair of points. 33. (0, 5) and (6, 2) 34. (-6, 4) and (-6, -2) Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve. 35. If y = 15 when x = 2, find y when x = 8. 36. If y = -6 when x = 9, find x when y = -3 Write an equation of a line in slope-intercept form with the given slope and yintercept. 37. slope: -2; y-intercept: -9 38. slope: 2/3; y-intercept: 3 Write an equation of the line that passes through the given point and has the given slope. 39. (2, -6); slope: -4 40. (-3, -1); slope 2/5 Write an equation of the line that passes through the given points. 41. (2, -1) and (5, 2) 42. (-4, 3) and (1, 13) Write an equation in point-slope form for the line that passes through the given point with the slope provided. 43. (6, 3); slope: 5 44. (-2, 1); slope: -3 Write each equation in standard form. 45. y – 3 = 5(x – 2) 46. y + 4 = 1 (x – 3) 2 Write each equation in slope-intercept form. 47. y – 12 = -2(x – 3) 48. y – 4 = 1 (x + 2) 2 Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. 50. (-4, 1); y = -2x – 6 51. (-5, -2); y = - 1 x+4 2 Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation and one that is perpendicular to the graph of the given equation. 52. (1, 3); y = -2x – 4 53. (-5, 2); y = 1 x+4 3 Use substitution to solve each system of equations. 54. x + 3y = -28 y = -5x 55. 3x + 2y = 16 x = 3y – 2 56. y = 5x – 3 x + 2y = 27 57. x + 3y = 9 x+y=1 Use Elimination to solve each system of equations. 58. 2x + y = -5 x–y=2 59. x – 4y = 2 3x + 4y = 38 60. 3x + 4y = 1 5x + 2y = 11 61. 8x – 3y = -35 3x + 4y = 33