Algebra 1 Midterm Review
Name: ___________________
Period: _______________
3
3 5
1
, 1 ,  , and 
4 4
4 from least to greatest.
1. Order the numbers 4
Simplify each expression.
4. 5 + 42 – 3(7) + 32
2. 18 ÷ (5 + 22)
3.
5. 25 ÷ (42 + 23)
6. –16 + 8y + (–3)
169
7. 5
(  0)(21)
6
Solve each equation. Check your answer.
1
4
9. 9g + 12 = 84
10.  z  2 
12. 8x – 12 = 4x + 24
13.
15.
x3 2

15
5
16.
3
4
1
( x  8)  x  16
5
y8 y

6
2
11. n + 11.2 = 25.1
14.
x4 5

6
4
17.
5a 4

8
7
18.
9
12

b4 5
Solve each inequality. Graph the solution.
19. |r + 3| ≥ 7
20. |6q + 9| ≤ 9
21. –20 ≤ 5y
22. –9 < 3n < 18
23. –3 < 5c + 7 < 22
24. –6b > 42 or 4b > –4
25. 4 – x > 3
26. 6y – 8 ≤ 10
27. f ≥ –5f + 36
28.  x  24
3
5
29. 3x – 8 < –2x + 22
30. 2| d + 5 | – 1 < 3
Solve each inequality. Check your solution.
31. 3(x – 4) < –15
32. 2(5y + 13) – 5.7 < 20.3
33. 7x + 2(3x – 11) ≤ 17
34. 6(x – 11) – 4x < –72
Write a compound inequality that each graph could represent.
35
36.
Solve each equation. Check your solutions.
37. | 5x + 13| = –7
38. 2 = | w – 13|
39. | 4x + 1| – 3 = 26
40. 5| 8 – y | = 30
You roll a six-sided number cube. Find the probability of rolling each
of the following.
41. P(1 or 6)
42. P(odd or 2)
43. P(even or odd)
44. P(8)
You choose a tile at random from a bag containing 5 tiles with A, 9 tiles with B,
and 4 tiles with C. You pick a second tile without replacing the first. Find each
probability.
45. P(A then C)
46. P(both B)
47. P(C then B)
48. P(B then A)
Simplify each expression.
49. 324
50. 4 448
51
24  28
52. 6 10  3 12
53.
16
81
54.
6
3
55. 10 6  7 6
56. 15 3  3 27
57. 2 3( 2  4 6)
Find each percent of change. Describe each as a percent of increase or decrease. Round
to the nearest percent.
58. $4.50 to $5.00
59. 56 in. to 65 in.
60. 18 oz to 12 oz
61. 1 s to 3 s
62. 8 lb to 5 lb
63. 6 km to 6.5 km
Make box-and-whisker plots to compare the data sets.
64. Earned commission:
Dale’s: $150 $125 $145 $175 $105 $100 $200 $180
Juanita’s: $155 $185 $215 $205 $170 $165 $195 $200
65. Weekly cars sold:
Kathy’s: 5 8 3 12 7 11 9 4 8
Samuel’s: 9 2 5 10 9 7 7 6 10
66. Video length (min):
Training 1: 78 62 45 65 50 59 67 62 51 70
Training 2: 60 67 50 58 62 71 69 54 60 64