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Algebra I Chapter 4 Review Name ________________ Graph the following coordinates. List the quadrant/axis where the coordinate lies in the coordinate plane. Quadrant/Axis Quadrant/Axis 1. A (-1,5) ____________ 4. D (0, 0) 2. B (3, 4) ____________ 5. E (-4, -2) ____________ 3. C (0, -2) ____________ 6. F (3, 0) K ____________ G ____________ H Find the coordinate of the given points. 7. Point G ________ 8. Point H ________ 9. Point K ________ Decide whether the given ordered pair is a solution of the equation. YES NO 10. 5x + 3y = 2 (1, -1) YES NO 11. y + 4 = -2x (-3, -2) Find the x-intercept of the graph of each equation. _____________ 12. 4x + 5y = 8 _____________ 13. -14 + 6y = 7x Find the y-intercept of the graph of each equation. _____________ 14. 12 – 12x = 3y _____________ 15. 15 + 5y = 15x Find the slope of the line passing through the points. __________ 16. (-4, 6) , (-3, 2) A _________ 17. (5, 4) , (-2, 4) B ________ 18. (-3, 2) , (4, -1) _______ 19. (3, 2) , (3, -1) Find the slope of each line on the graph to the right. _________ 20. Line A _________ 21. Line C _________ 22. Line B C _________ 23. Line D D Find the value of y so that the line passing through the two points has the given slope. _____________ 24. (6, y) , (3, 3) ; m = 2 _____________ 25. (8, y) , (2, -3) ; m = -1 3 Find the slope and y-intercept of the graph of the equation. (Solve for y first if necessary) 26. y – 2x = 5 27. y = 5 – 3x 28. 2x - 3y = 9 y-intercept = slope = y-intercept = slope = y-intercept = slope = 30. y = x + 2 31. 2y – 3x = 6 32. x = 5 y-intercept = slope = y-intercept = slope = 29. y = 4 y-intercept = slope = 33. x – y = 0 4 y-intercept = slope = y-intercept = slope = Decide whether the graphs of the given equations are parallel, perpendicular or neither. Parallel Perpendicular Neither 34. 2y = -4x – 6 & 4y – 2x = 8 Parallel Perpendicular Neither 35. 2x + 3y = 5 & 9y + 6x – 1 = 0 Parallel Perpendicular Neither 36. 4y = 3x – 20 & -4x + 3y = -15 Are the following relations a function? YES NO 37. (-1, 0) , (2, 3) , (4, -3) , (5, 3) YES NO 38. x y 4 5 -6 7 1 -2 4 8 2 6 Solve for the selected variable. 39. A = bh ; b 40. ax – c = d ; x 41. c + e = k ; c d 42. P = 2L + 2W ;W Evaluate the function when x = 3, x = 0, and x = -2 43. f(x) = 2x – 4 44. h(x) = -3x + 1 Graph the following functions. 45. h(x) = 4x-2 46. f(x) = 1 x +3 3 Find the domain and range of each relation and determine whether or not it is a function. 47. Domain = 48. Domain = 49. Domain = Range = Range = Range = Function? Yes or No Function? Yes or No Function? Yes or No The variables y and x vary directly. Use the given values to write an equation that relates y and x. __________ 50. x = 7, y = 35 __________ 51. x = 22, y = 11 __________ 52. x = 4, y = 12 Graph the following direct variation equations. 53. y = -4x 54. y = 2 x 3 Graph the following equations using T-charts. (using -1, 0, 1) 55. x + 4 = y 56. 2x + 2y = 4 x y x y Graph the line with the given intercepts. 57. x-intercept: -3 58. x-intercept: (4, 0) y-intercept: 2 y-intercept: (0, 1) Graph the following equations using slope-intercept form. (Solve for y first if necessary) 59. y = x + 2 62. 3x + 2y = -6 60. y + 4 = 10 63. x = 7 61. 2x – 4y = 12 64. y = -2