1. Chapter 7 Test Remediation
Show work/write explanations

2. Chapter 7 Test Remediation Section 7.1– Slide 9 Section 7.1 – Slide 18
Test corrections should have explanations and/or show all your work.
See “Test Review Answers” PowerPoint for examples of what I expect your corrections to look like.

3. 1. Simplify: 7 −3
2. Simplify: 𝑥 −5
3. Simplify: 1 𝑦 −2

4. 4. Simplify: 12 0
5. Simplify: 42𝑥 0
6. Evaluate: −2 𝑎 0 𝑏 −4 for 𝑎=5, 𝑏=−3

5. 7. Evaluate: 𝑥 4 𝑦 −2 𝑧 −1 for 𝑥=2, 𝑦=3, 𝑧=4
8. Simplify: 5 𝑤 −2 𝑥 12 𝑦 −4
9. Simplify: 4 𝑑 3 𝑒 12 𝑓 −2

6. 10. Simplify: 𝑎 5 ∙ 𝑏 12 ∙ 𝑎 5
11. Simplify: 𝑑 −5 𝑑 −6
12. Simplify: ( 𝑎 2 𝑏 5 𝑐 −2 )( 𝑎 9 𝑏 𝑐 4 )

7. 13. Simplify: −3 𝑥 −4 𝑦 −5 𝑥 6 𝑦
14. Simplify: (𝑤 2 ) 7
15. Simplify: ( 𝑔 3 ) 2 ∙ 𝑔 −1

8. 16. Simplify: ( 2𝑓 3 ) 4
17. Simplify: 7 𝑥 𝑥 2
18. Simplify: 20 𝑎 5 𝑏 10 4𝑎 𝑏 7

9. 19. Simplify: 9 𝑦 3 6 𝑦 3
20. Simplify: 5 𝑥 5 9 𝑥
a. 5𝑥 c. 5 𝑥 2 9
b. 25 𝑥 d. 25𝑥 81
21. Simplify:
a c
b d

10. 22. Simplify: 4 6
a c. 6 4
b d. 4 6
23. Simplify:
a. ( ) c
b. ( 6 4 ) 5
24. Simplify: 𝑥 2 3
a. 3 𝑥 c. 3 𝑥 2
b. 𝑥 d. 𝑥 3

11. 25. Simplify: 𝑥 6 𝑦 10
a. 𝑥 3 𝑦 −5 c. 𝑥 3 𝑦 5
b. 𝑥𝑦 14
26. Simplify: 3 𝑎 12 𝑏 3 𝑐 6
a. 𝑎 6 𝑏 𝑐 3 c. 𝑎𝑏𝑐
b. 𝑎 4 𝑏 𝑐 2
27. Add 2𝑥 3 −5 +( 𝑥 3 +3)
a. 3𝑥 2 −2 c. 𝑥 6
b. 3𝑥 6 −2 d. 3𝑥 3 +8

12. 28. Add 2𝑥 2 −5𝑥−7 + 7𝑥 2 +3
a. 2𝑥 2 +2𝑥−4 c. 9𝑥 2 −2𝑥−7
b. 9𝑥 2 −5𝑥−4 d. 9𝑥 4 −5𝑥−4
29. Subtract 6𝑎 2 +3𝑎 − 4 𝑎 2 +2𝑎
a. 2𝑎 2 +𝑎 c. 2𝑎 2 +5𝑎
b d. 3𝑎 3
30. Subtract 7𝑎 2 −3𝑎 − 5 𝑎 2 −5𝑎
a. 2𝑎 2 −8𝑎 c. 2𝑎 2 +2𝑎
b d. 12𝑎 2 −8𝑎

13. 31. Multiply (𝑥+2)(𝑥+3)
a. 𝑥 2 +6
b. 𝑥 2 +5𝑥+6
c. 𝑥 2 +6𝑥+6
d. 𝑥 2 + 6𝑥 2 +6
32. Multiply 𝑥−5 2𝑥+4
a. −6𝑥
b. 2𝑥 2 −20
c. 2𝑥 2 −26
d. 2𝑥 2 −6𝑥−20
33. Multiply (2𝑥+7) 2
a. 2𝑥 2 +7
b. 4𝑥 2 +14𝑥+49
c. 4𝑥 2 +49
d. 4𝑥 2 +28𝑥+49
34. Multiply 𝑏+3 𝑏 2 +2𝑏+1
a. 𝑏 3 + 2𝑏 3 +3
b. 𝑏 3 + 5𝑏 2 +7𝑏+3
c. 3𝑏 3 + 6𝑏 2 +3𝑏
d. 4𝑏 5 +8 𝑏 3 +3𝑏