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Name ______________________________
Date ______________ Period _____
Algebra I Review
Solve the following on your paper and write the correct answer is the answer blank.
1. Simplify: 3(x – 10y) – 4(7x – 2y)
1. _____________________
2. Simplify: 4x + 3 – 2(x – 7)
2. _____________________
3. Simplify: 5x – (3x – 2y + 4)
3. _____________________
4. Solve:
3(4 – 5x) = 2x – 4
4. _____________________
5. Solve:
4(1 + x) = 7 – 2(1 + 2x)
5. _____________________
6. Solve:
1
2
(x + 8) = (6x – 1)
4
3
6. _____________________
7. Solve:
3 3
2
1
- x= x+
4 5
5
2
7. _____________________
8. Solve and graph: 6x + 4  34
8. _____________________
9. Solve and graph: 15 – 5x  55
9. _____________________
10. Solve and graph: 7x – 5  3x + 4
10. ____________________
11. Solve and graph: 2.55x – 4.24  0
11. ____________________
12. Simplify: b3  b5
12. ____________________
13. Simplify: x2  x  x4
13. ____________________
14. Simplify: (x2)3
x5
15. Simplify:
x2
14. ____________________
16. Simplify:
x2
x6
17. Simplify:
 2a 2

 4b
15. ____________________
16. ____________________



3
17. ____________________
18. Simplify: (m0  m2 ) 5
18. ____________________
19. Simplify: (z2 – 6z + 10) + (2z2 + 4z – 11)
19. ____________________
1
20. Simplify: (3x – y) – (x – y) – (x + 3y)
20. ____________________
21. Simplify: (8r2 + 5r + 14) – 2(3r2 + 2r – 3)
21. ____________________
22. Simplify: 4xy2 (2xy – 3x2y + 2xy3)
22. ____________________
23. Simplify: (x – 7)(x + 2)
23. ____________________
24. Simplify: (2x + 3)(3x + 5)
24. ____________________
25. Simplify: (2x – 1)(2x + 1)
25. ____________________
26. Simplify: (x + 2y)2
26. ____________________
27. Simplify: (2x – 3y)2
27. ____________________
28. Factor:
x2 + 5x + 6
28. ____________________
29. Factor:
y2 – 12y + 20
29. ____________________
30. Factor:
x2 + 5x – 14
30. ____________________
31. Factor:
x2 – 9y2
31. ____________________
32. Factor:
3x2 – 3y2
32. ____________________
33. Factor:
3n2 + 21n – 24
33. ____________________
2
34. Which graph represents x – y  3?
34. ____________________
A
C
B
D
35. Which graph represents x – y  3?
35. ____________________
A
C
B
D
3
36. Which graph represents the inequality y  3x – 2 ?
y
A
B
y
x
C
x
D
y
y
x
37.
x
The graph shown represents which system of inequalities?
y
x
A
y x–1
y  -x – 2
C
y x–1
y  -x – 2
B
y  -x -1
yx–2
D
yx–1
y  -x – 2
4
38. The graph shown represent which system of inequalities?
y
3
x+3
2
y  -2x + 2
A
y 
B
y 
3
x+3
2
y  -2x + 2
C
y 
D
y 
C
y  -x – 3
y  2x + 1
D
y  2x + 1
y  -x – 3
x
3
x+3
2
y  2x + 2
39. The graph shown represents which system of inequalities?
y
A y  -2x + 1
y x–3
B
x
y x–3
y  -2x + 1
40. The function y = 4x – 2 is represented by which graph?
y
A
40. _______________
y
C
x
B
3
x+3
2
y  2x + 2
y
x
D
x
y
x
5
41.
A
1
Which graph represents the line containing the point (2, -1) and having the slope of - ?
2
y
y
B
x
C
y
x
D
y
x
42.
A
x
1
Which graph represents the line containing the point (-2, 1) and having the slope of
?
4
y
y
B
x
C
y
x
D
x
y
x
6
43.
A
Which graph represents the line with x-intercept of 3 and y-intercept of -3 ?
B
y
y
x
x
y
C
y
D
x
x
44. Which equation describes the line containing the points (-4, -3) and (3, 4)?
A. y = x – 1
B. y = -x +1
D. y = -x – 1
C. y = x + 1
45. Which equation describes the line containing the points (1, -2) and (-3, 2) ?
A. y =
46.
1
2
x–1
B. y = -x + 1
D. y = -x – 1
C. y = x + 1
Which equation describes the line containing the points (-2, 2) and (4, -2)?
A. y = 2x + 6
B. y = - 32 x + 5
C. y = - 23 x +
2
3
y=
3
2
x+2
7
47. Which equation describes the graph shown?
A. y =
4
3
x–1
B. y = x + 1
C. y =
3
4
x–1
D. y = - 34 x – 1
48. Which equation describes the graph shown?
2
3
A. y = -
x+4
B. y = 4x + 4
C. y =
3
2
x+4
D. y = - 32 x + 4
49. Which equation describes the graph shown?
A. y =
5
4
x+5
B. y = - 54 x + 4
C. y = 4x + 5
D. y =
4
5
x+4
8
50. Which equation describes the graph shown?
A. y = - 23 x – 3
C. y = - 32 x – 2
B. y = - 23 x – 2
D. y = - 32 x – 3
51. Solve.
3x + 2y = 8
2x - y = 3
A. ( -1, -2 )
B. (1, 2 )
52. Solve.
2a – 3b = 5
a + b = 10
A. ( 3, 7 )
B. (-2, 12 )
53. Solve.
2x – 3y = 5
y = -x
A. (1, -1 )
B. (-1, 1 )
54. Solve.
y + 5 = 3x
y = 2x + 2
A. (-3, -4 )
B. (-4, -3)
C. (2, 1 )
D. (-2, 4)
C. (2, 8)
D. (7, 3 )
C. ( - 12 ,
1
2
C. (7, 16 )
)
D. ( 12 , - 12 )
D. (6, 14 )
55. Find the slope of the line that passes through the points (2, 4) and (3, -2).
A. -6
B. 6
C. -
1
6
D.
1
6
9
56. Find the slope of the line that passes through the points (5, 7) and (2, -3).
A. - 103
B. - 103
C.
3
10
D.
10
3
57. Find the slope of the line containing the points (-1, -4) and (0, -4).
A.
4
5
B.
5
4
C. zero slope
D. undefined slope
58. Which graph represents the line with slope of -3 and y-intercept of 1?
A
C
x
B
y
x
D
x
y
x
10
59. Which graph represents the line with slope of - 23 and y-intercept of -2?
A
C
x
B
y
x
D
y
x
x
60. Which graph represents the line containing the point ( -2, 1 ) and having the slope of
A
?
C
x
B
1
4
y
x
D
x
y
x
11
61. Which of the following could be the graph of y = x2?
A
C
x
x
y
B
D
y
x
x
62.
Which of the above is the graph of y = -x2 + 2 ?
63.
Which of the above is the graph of y = x2 – 2 ?
64. Give the solution(s) to the graph shown.
A. {1}
B. {2}
C. {0}
D. 
65. Give the solution(s) to the graph shown.
A. {-1, 3}
B. {-3, 1}
C. {0}
D. 
12