Academic CUA Review
Chapters 1 – 6
Write the product as a power. (Section 1.2)
1. 𝑤 ∙ 𝑤 ∙ 𝑤
2. 5 ∙ 5 ∙ 5 ∙ 5 ∙ 5 ∙ 5
3. 𝑡 ∙ 𝑡 ∙ 𝑡 ∙ 𝑡
Evaluate the expression. (Section 1.3)
4. 2 ∙ 30 − 14
5.
24+16
5−3
6. 100 − 42 ÷ 6
7. Write the integers in order from least to greatest. (Section 1.4)
-33, 0, -3, -13, 30, 1, -11, 10
Find the sum, difference, product or quotient. (Sections 1.5 and 1.6)
8. 42 + (−19)
9. −28 − 41
11. 14(−6)
12.
−36
−4
10. −16 − (−35)
13.
296
−8
Plot the point in the coordinate plane. Label each point. Write the location of each
point. (Section 1.8)
14. A(-2, 3)
15. B(1, 3)
16. C (-4, -3)
17. D(3, -1)
Simplify the expression. (Sections 2.2 and 2.3)
18. 26 + 3𝑥 − 19 + 24𝑥
19. 6(3𝑡 − 2)
20. 7𝑏 + 4𝑏 + 17𝑏
Solve the equation. (Sections 2.5, 2.6, 3.1, 3.2)
21. 8𝑛 = −104
22. ℎ − 41 = −6
23. – 5 = 15
24. −3𝑝 − 7 = 5
25. 4(3 − 2𝑥) = −44
26. −8 = 8(4𝑔 + 3)
𝑡
27. You have $134.68 in the bank. You deposit a check for $23.47. What is the new
balance in your bank account? (Section 2.7)
28. In order to get an A in math class, you need to earn at least 51 points on this test.
Write an inequality that represents the number of points 𝑝 you need to earn an A
in math. (Section 3.4)
Solve the inequality and graph the solution. (Sections 3.4, 3.5, and 3.6)
29. 𝑥 − 6 ≥ 5
30. −3 − 4𝑏 ≤ 13
Write the decimal as a fraction. (Section 5.1)
31. 0.248
32. −3.15
33. 0. 3̅
̅̅
34. −1. ̅̅
15
Find the sum, difference, product, or quotient. (Sections 5.3, 5.4, 5.5)
3
2
5  6
1 
1
1 
1
36. 5  2
35.
37.  1    6 
38.  8    4 
  
4
3
3 
6
14  7 
5 
2
30. Solve the proportion
32 16

. (Section 6.2 and 6.3)
b 17
31. Given 𝐴𝐵𝐶𝐷~𝐸𝐹𝐺𝐻, find 𝐺𝐻. (Section 6.5)
32. Each letter in the word VACATION is written on a separate slip of paper and
placed in a hat. A letter is chosen at random from the hat. What is the
probability that the chosen letter is a vowel? (Section 6.7)
33. You roll a number cube twice. Find the probability that you roll a 3 and then a 2.
(Section 11.9)