Download Pre-Algebra Final Exam Review Simplify completely. Show all work

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Pre-Algebra
Final Exam Review
Simplify completely. Show all work for full credit.
1. 9b + 21 - 2b
2. -4(a – c)
3. 5q + 3(q - 7)
4. -3(6y – 2) + 3(8 – 3y)
5. 1 – 2(m + 1) – m
6. 12 + 5x – 2(3x + 5)
Solve.
7. 40 + x = 25
8. -5 = y – 12
9. z + (-23) = -47
10. 14 = a – 9
11. 4k = 96
12. 300 = -15j
13. −4=
w
6
14.
k
=−20
−9
Graph the solutions to the inequality.
15. x > -12
16. f < -3
17. -2 > b – 4
18. 0 < 8r
19. -12k > -144
20.
a
>−22
11
Solve.
21. 3.8 = n – 3.62
22. -12.42 = 0.03p
23. y + 3.85 = 2.46
24. 0 = a + 27.98
25. -7.2y = 61.2
26.
k
=−0.07
−1.2
27. Steven and Marisa drove 351 miles at an average rate of 54 miles per hour. Write an
equation and solve to find how much time t it took.
28. The amount of rain we got last month was 2 inches more than what we got this month. We got 3.5
inches last month. Define a variable, write an equation and solve to find how much rain we got this
month.
29. Find the mean, median, mode, range, and identify any outliers.
28, 45, 49, 27, 54, 55, 49, 41
Simplify each expression.
30. 53
Write in simplest form.
abc
33.
10abc
Simplify.
36. y5 ∙ y3
31. 20 ∙ 23
3
34.
(
12h k
2 2
16h k
37. w10
w7
Simplify each expression.
40. (3x2)3
42.
32. -2(3 + 2)
2y 3
)
5x
35.
38. 8s2
32s20
12x
50y
39. z4
z15
41. -(2x2y)4
43. (-5x2y3)2
Write in scientific notation if in standard notation, and standard notation if in scientific notation.
44. 0.0000456
45. 943,000,000,000
46. 8 x 1011
Find the GCF of the following terms.
48. 36hk3, 60k2m, 84k4n
47. 5.64 x 10-5
49. 2mn, 4m2n2
Find the LCM of each group of numbers or expressions.
50. 24, 32
51. 14a2b3, 21ab4
52. 3x2, 9xy2
Write each fraction as a decimal and a percent.
1
53.
54.
16
Write each decimal as a fraction and percent.
55. 0.28
56. 0.7
58.
What percent of 20 is 13?
Add, subtract, multiply, or divide.
3
1
60. 3 −4
5
2
1 4
62. 3 ⋅( )
3 5
64.
2 −8y
−
3
9
2
3
57. 0.02
59. Find 12.5% of 80.
61.
2 7
+
3 8
63.
−1 1
+
6x 4
65.
4
5m
÷(
)
m
9
Solve for x.
5 15
=
66.
8 x
67.
6
x
=
21 70
The figures are similar. Find the missing sides. Round to the nearest tenth if necessary.
68.
10
x
8
15
69.
n
40
m
32
7
12
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