Algebra 1
Re-Quiz 9 Sections 7.1-7.3
Name: ___________________________
Show all work for each problem.
1. Given the expression (–5𝑥 2 y)(3𝑥 4 ), what is the exponent of x when simplified? (1 pt)
1
2. Given the expression (−18𝑚2 𝑛)2 (– 6 𝑚𝑛2 ), what is the coefficient when simplified? (1 pt)
2
1
4
3. Given the expression ( 𝑎𝑑3 ) , what operation is used with the
2
3
1
4
and the 2? (1 pt)
2
4. Given the expression ( 𝑝) , what is the coefficient when simplified? (1 pt)
5. Given the expression
8𝑦 7 𝑧 6
4𝑦 6 𝑧 5
, what is the exponent of z when simplified? (1 pt)
−4𝑥 2
6. Given the expression 24𝑥5 , where will the variable x appear when simplified? (1 pt)
4𝑓3 𝑔
3
7. Given the expression ( 3ℎ6 ) , what will the coefficient in the denominator be when simplified? (1 pt)
Simplify the following expressions. (2 pts each)
8. 𝑥 3 (𝑦 −5 )( 𝑥 −8)
12.
6𝑓−2 𝑔3 ℎ 5
54𝑓−2 𝑔−5 ℎ 3
3 −2
(𝑗 −1 𝑘 3 )
𝑗3𝑘 3
11. (
10. (3𝑟)3
−4
13.
0
𝑥 −3 𝑦 5
)
−3
4
𝑟4
9. (7)
−2
2𝑥 3 𝑦 2 𝑧
)
4
−2
3𝑥 𝑦𝑧
14. (
Solve the following equations. (2 pts each)
15. 83𝑥 + 1 = 4096
16. 133𝑥 − 8 = 28,561
Write each expression in radical form, or write each radical in exponential form. (1 pt each)
1
17. (7𝑎𝑏)2
1
18. 13(𝑎𝑏)2
19. 3√𝑥
Using the rules of radical exponents, write each of the following in radical form, then simplify. (2 pts each)
3
20.
1 4
(81)
21. 512
2
3
22. (
32
)
1024
4
5