Algebra I Practice Test
Integer Exponents
Name______________________________________________Period_____Date____________
Vocabulary: Define each word and give an example.
1.
Exponent
2.
Product of Powers Property of Exponents
Short Answer:
3.
Describe how to evaluate a base raised to a negative exponent. Show using patterns why this is true.
4.
Describe how to write a number that is in scientific notation in standard (decimal) form.
Problems:
**Be sure to show all work used to obtain your answer. Circle or box in the final answer.**
5.
Simplify the following expressions.
a.
 2xy 
6.
Evaluate the exponential expressions.
a.
 52
7.
Simplify. Rewrite each expression with positive exponents.
a.
 6 
3
x 
2
b.
 9x 
3 2
b. 8  2 
2
3
xy 1
 4 x 2 
c. 
1 
 2x 
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c.
0
4
2m 5
 6 x 2 y 
d. 
3 
 2 xy 
219547455
2 3
c. 2  3
b.
1
 abc   a b 
3
2
2
2
Algebra I Practice Test
8. Rewrite the number in decimal form.
a.
9.
Integer Exponents
1.228  106
b.
6.82  10 5
b.
0.00000156
Rewrite the number in scientific notation.
a.
7,500,000
10. Evaluate the expression. Write your final answer in scientific notation.
a.
 4  10  3  10 
6
8
b.
5.5  102
1.1  104
c.
Multiple Choice Section: Circle the best answer.
11. Determine the value of
A.
B.
C.
D.
23  2 4 .
48
64
96
128
6.0  105
. What is the quotient in scientific notation?
3.0  103
0.2  10 8
0.2  10 2
2.0  10 8
2.0  10 2
12. Divide:
A.
B.
C.
D.
13. Which expression is equivalent to
 a bc  3a bc 
2
3
3
4 2
?
6a12b2c 24
8 3 11
B. 6a b c
12 2 24
C. 9a b c
8 3 11
D. 9a b c
A.
14. Simplify the following expression using only positive exponents:  10a  x
0
1
x2
10a
B.
x2
2
C. 10ax
2
D.  x
A.
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219547455
2
 3  10 
5 4