ALGEBRA I
TEST REVIEW
7-1, 7-2, 7-3, 7-4
What is the simplified form of each expression?
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1.
a. –1
b. 1
c. –4.2
d. 0
a.
b.
c.
d.
a.
b. 9
c.
d. 6
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
2.
3.
4.
5.
6.
7. What is the value of
for x = 3 and y = –1?
4
a. 4
b.
c. –108

729
27
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for x = 2 and y = –4?
8. What is the value of
a. 16
9. What is the value of
a.
d.
b. –4
c.
d. –16
for x = 2 and y = –4?
b. 128
c.
d.
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10. Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 40
pounds of algae, how much algae will be in the pond after 12 hours?
a. 320 pounds
c. 640 pounds
b. 160 pounds
d. 64 pounds
What is each expression written using each base only once?
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11.
a.
b.
c.
d.
a. 8
b. 1
c. 0
d. 7.578
a. –5
b. 511
c. 1
d. 11
a.
b.
c.
d.
12.
13.
14.
What is the simplified form of each expression?
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15.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
16.
17.
18.
Find the simplified form of the expression. Give your answer in scientific notation.
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19.
a. 4.9  10 11
b. 1.4  10 11
c. 1.4  10 8
d. 4.9  10 8
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20.
a.
b.
c.
d.
a. 5.4  10 34
b. 1.5  10 1
c. 5.4  10 1
d. 1.5  10 34
21.
22. Last year, a large trucking company delivered 5.5  10 5 tons of goods with an average value of
$23,000 per ton. What was the total value of the goods delivered? Write the answer in scientific
notation.
a. 1.265  10 9 dollars
c. 1.265  10 12 dollars
b. 1.265  10 10 dollars
d. 1.265  10 11 dollars
Simplify the expression.
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23.
a. 45
b. 243
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24.
a.
____
c. 18
d. 9
b.
c.
d.
25.
a. 4
b.
c. 256
d. 1024
What is the simplified form of the expression?
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26.
a.
c.
b.
d.
27.
a.
b.
c.
d.
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28.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
29.
30.
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31. When you simplify an algebraic expression like
, you know that the bases of the
expressions must be the same. You also need to rewrite the exponents so that they have a common
denominator. Explain why you need to find the common denominator to simplify.
a. To simplify, you must add the exponents. To add or subtract fractions, the
denominator must be the same.
b. To simplify, you must multiply the exponents. To multiply fractions, the
denominator must be the same.
c. To simplify, you must subtract the exponents. To add or subtract fractions, the
denominator must be the same.
d. To simplify, you must divide the exponents. To divide fractions, the denominator
must be the same.
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32. Astronomers measure large distances in light-years. One light-year is the distance that light can
travel in one year, or approximately
miles. Suppose a star is 1.92  10 3 light-years
from Earth. In scientific notation, approximately how many miles is it?
a. 1.92  10 14 miles
c. 1.13  10 16 miles
b. 5.88  10 13 miles
d. 5.88  10 12 miles
What is the simplified form of each expression?
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33.
a.
b.
c.
d.
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34.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
35.
36.
37.
38.
39. Suppose a white dwarf star has a diameter of approximately 1.8083  10 4 km. Use the formula
to find the approximate surface area of the star.
a. 1.64  10 10 km2
c. 1.03  10 7 km2
b. 2.27  10 5 km2
d. 1.03  10 9 km2
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40. Suppose a spherical asteroid has a radius of approximately 2.4  10 m. Use the formula
3
to find the approximate volume of the asteroid.
a. 5.79  10 7 m3
c. 5.79  10 10 m3
b. 3.71  10 12 m3
d. 3.02  10 4 m3
What is the simplified form of each expression?
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41.
a.
____
42.
b.
c.
d.
____
____
____
____
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
43.
44.
45. Radio signals travel at a rate of
meters per second. How many seconds will it take for a
radio signal to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height
of
meters?
a. 8.3 seconds
c.
seconds
b.
d.
seconds
seconds
46. Scientists believe that there is an extremely massive black hole at the center of the Milky Way.
How many times more massive than the Sun would a black hole with a mass of 7.36  10 36 kg be?
The mass of the Sun is approximately 1.99  10 30 kg.
a. 3.7  10 4
c. 3.7  10 3
8
b. 3.7  10
d. 3.7  10 6
What is the simplified form of the expression?
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47.
a.
b.
c.
d.
a.
b.
c.
d.
48.
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49.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
50.
51.
52.
ALGEBRA I
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
B
D
C
D
A
D
B
C
C
A
D
B
A
A
A
A
D
B
D
A
C
B
B
B
A
A
A
C
D
B
A
C
D
D
C
A
C
A
D
C
TEST REVIEW
7-1, 7-2, 7-3, 7-4
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
D
C
A
C
B
D
B
C
B
B
B
B