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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
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