Algebra Chapter 8 Practice Test
Name: _______________________________________________ Date: __________________
1. Simplify (8x3)2(1/4x2)3
1. ____________________
2. Evaluate (a3b2)2 when a = -1 and b = -2.
2. ____________________
3. Solve for x: 23 ∙ 24 = 2x
3. ____________________
4. Rewrite the expression using positive exponents.
___1____
9x -2 y -1
4. ____________________
5. Evaluate: -5 ∙ 40
5. ____________________
6. Rewrite the expression using positive exponents.
(-3)0(2x -1 y -1) 2
7. Evaluate the expression: 74
75
6. ____________________
7. ____________________
8. Simplify the expression:
32xy3 ∙ -2xy
-8x3y -4y
8. ____________________
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9. Rewrite 2.13 ∙ 10-8 in decimal form.
9. ____________________
10. Rewrite 50,800,000 in scientific notation.
10. ___________________
11. Evaluate (7 ∙ 107)(5 ∙ 10-6) without a calculator. Write
the result in decimal form.
11. ___________________
12. Evaluate (8 ∙ 10-3)2 and write the result in both decimal
form and scientific notation.
12. ___________________
___________________
13. 8.2 ∙ 107 =
4 ∙103
13. ___________________
___________________
(write answer in both decimal form and scientific notation)
14. Earth is approximately 9 ∙ 107 miles from the sun.
Light travels at approximately 1.8 ∙ 105 miles per second.
How long does it take light to travel from the sun to Earth?
15. The side of a cube is 7 ∙ 102 inches. Write the volume
of the cube in scientific notation.
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14. ___________________
15. ___________________
Directions: In problems 16 – 18, leave your answer in
exponential form.
16. A principle of $550 is deposited in an account that
pays 6% annual interest compounded yearly. Find the
balance after 10 years.
16. ___________________
17. How much must you deposit in an account that pays
7% annual interest compounded yearly to have a balance of
$550 after 5 years?
17. ___________________
18. The enrollment at Alpha-Beta School District has been
declining 3% each year from 1986 to 1992. If the
enrollment in 1986 was 2501, find the 1992 enrollment.
18. ___________________
19. Choose the equation that represents exponential decay.
A. y = (0.24)t
B. y = (1.97)t
19. ___________________
Directions: On problems 20 – 24, simplify the expression
and rewrite with positive exponents.
20.
20. ___________________
16a2b4 ∙ -4a5b
-4b3
-8a3b2
21. 12(x2y4)0
-6x-2y2
21. ___________________
22. (6x3y)(7x-1y8)
22. ___________________
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23.
4w2z4 ∙ 10z2
5y3z2
2wy
24.
2xy-2y4
3yx-1
-2
∙
23. ___________________
4xy
2x-1y3
24. ___________________
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25. Rewrite (-3x3y-6)(2x-3y) with positive exponents.
25. ___________________
26. Simplify
26. ___________________
27. Simplify 3x5y ∙ 6xy4
2xy2 4x7
27. ___________________
28. You have a large oak tree in your yard. If the tree has
10,000 leaves at the beginning of autumn, and loses 7%
each day until all the leaves are off, how many leaves
remain on the tree after one week of leaf loss?
A. 4900
B. 9300
C. 6957
D. 6017
E. 5000
28. ___________________
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