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Exponents, Prime Factorization, and Expressions Test

Total questions: 30

Worksheet time: 1hrs 12mins

Name
Class
Date
1.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
2.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
3.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
4.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
5.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
d)
not here
6.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
7.
103
a)
10
b)
100
c)
1000
d)
30
8.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
9.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
10.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
11.

Find the prime factorization of 18

a)

2 • 9

b)

22 • 3

c)

2 • 32

d)

3 • 6

12.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 32 • 5

c)

22 • 3 • 5

d)

27

13.

Find the prime factorization of 30

a)

22 • 5 • 7

b)

2 • 32

c)

2 • 3 • 7

d)

2 • 3 • 5

14.

Find the prime factorization of 81

a)

22 • 7

b)

23 • 5 • 7

c)

43

d)

34

15.

Find the prime factorization of 108

a)

23 * 32

b)

22 • 33

c)

25 • 3

d)

2 • 3 • 7 • 11

16.

Select all of the prime numbers.

a)

1

b)

2

c)

7

d)

18

e)

21

17.

Select all of the prime numbers.

a)

0

b)

19

c)

31

d)

47

e)

51

18.

28 is a _______________ number

a)

prime

b)

composite

19.

All odd numbers are prime

a)

True

b)

False

20.

2 is the only even prime number

a)

True

b)

False

21.

Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

a)

g+29

b)

g-29

c)

29g

d)

g ÷ 29

22.

You and four friends plan a surprise party. Each of you contributes the same amount of money m for food. What is the algebraic expression for the total amount of money contributed for food?

a)

5m

b)

4 + m

c)

5 / m

d)

4m

23.

Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

a)

35 - b

b)

b

c)

35

d)

b + 35

24.

Which expression matches: the product of nine and a number

a)

9 + x

b)

9x

c)

9 ÷ x

d)

9 - x

25.

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your sisters. How much will each of you receive if there are c children?

a)

100 - c

b)

100 + c

c)

100 ÷ c

d)

100c

26.

Select the expression that would represent $5 less than Brett

a)

b-5

b)

5-b

c)

5b

d)

b+5

27.

Select the expression that would represent friends splitting $60

a)

60/f

b)

60f

c)

f+60

d)

f+60

28.

Select all of the expressions that show multiplication

a)

5x

b)

6(3)

c)

4/x

d)

a⋅b

29.
the difference between forty-six and a number
a)
46 x n
b)
46/n
c)
n-46
d)
46 − n
30.
What does "difference" mean?
a)
Multiply
b)
Divide
c)
Add
d)
Subract

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