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MATH 9 - CHAPTER 3 - PRETEST
Multiple Choice
Circle the choice that best completes the statement or answers the question.
1. Which of the following repeated multiplication forms represents the area of a square with a side length of 2?
a. 2x4
b. 2x2
c. 2 x 2 x 2 x 2
d. 2 x 2 x 2 x 4
2. Which of the following represents I x l x l x l in exponential form?
a. 1
b. I 4
c. 4
d.
41
3. In the expression 74, what does the number 4 represent?
a. base
b. exponent
c. multiple
d.
power
4. Express 2187 as a power of 3.
a. 3 x 729
b. 37
d.
7293
d.
-322
c.
73
5. Which power has the greatest value? -322, 46, (-5)4, 210
a. 210
b. 46
c. (-5)4
6. Which diagram represents the power 32?
3
3
a.
b.
7. Express 72 x 76 as a single power,
a. 72
b. 74
8. What is the value of
a.
-5
(-5)%
(-5)3 '
b. -25
c.
3
4
d.
c.
78
d.
712
c.
-125
d.
-625
9. Evaluate?0,
a. 0
b.
c.
1
7
d.
70
-3
10. Simplify (3'
a.
-36
11. Evaluate
a-
x
4
9
b"
12. Whatis(8 2 -2 4 )-2 3 -4?
a. 0
b.
13. What is the value of
a.
50
d. 36
c.
b.
8
27
c.
32
243
d.
1024
59049
2
c.
12
d.
24
c.
2
d.
1
43 +2 4
—?
23x5
b. 10
14. If a colony of 1000 bacteria doubles in size every 2 h, what is the size of the colony after 6 h?
a. 2000
b. 6000
c. 8000
d. 64000
Short Answer - Show your work.
15. Write each expression as a power.
a) 9 x 9 x 9 x 9
b) 4x4x4x4x4
c) -1 x -1 x -1
d) 6 x 6 x 6 x 6 x 6 x 6
16. Write each power as repeated multiplication, and evaluate.
a) 74
c) 123
b)ll 3
d)5 5
17. Evaluate. Show your work
a) 1 0 x 4 +6 3
b) 5 x 25 - 62 x 2
c) 8 2 ^
d) 2 x 53 - (3 5 - 52)
Problem - Show your work.
18. The number of insects in a colony doubles every month. There are currently 1000 insects in the colony. How many
insects will there be after one year?
19. Very large numbers, such as the mass of a planet, can be expressed as the nearest power of 10. This is known as
the order of magnitude. To the nearest order of magnitude, the mass of Earth is 1025 kg and the mass of the Sun is
1030 kg. How many times greater is the mass of the Sun than the mass of Earth?