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Worksheets

Expressions and Exponents

Total questions: 65

Worksheet time: 2hrs 13mins

Name
Class
Date
1.
54=
a)
20
b)
625
c)
1024
2.

Find the equivalent expression.

(15)(15)(15)(15)

a)

154

b)

415

c)

15x4

d)

15+15+15+15

3.

How do you write (2)(2)(2)(2) with an exponent?

a)

42

b)

24

c)

22

4.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
5.

Find the equivalent expression.


(9)(9)(9)(9)(9)

a)

95

b)

915

c)

9(5)

d)

9 + 9 + 9 + 9+ 9

6.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
7.

Write 20(20) using an exponent.

a)

400

b)

202

c)

220

d)

40

8.

Write 6.5(6.5) using exponents.

a)

26.5

b)

13

c)

6.52

d)

42.25

9.
Write 48 as a product of the same factor.
a)
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
b)
8 x 8 x 8 x 8
c)
4 x 8
d)
4 x 4 x 4 x 4 x 4 x 4 x 4 x 4
10.
Find the value of 23
a)
2
b)
4
c)
6
d)
8
11.
3 more than x
a)
3x
b)
3 + x
c)
x - 3
12.
The quotient of a number and 8
a)
8g
b)
8/g
c)
g+8
d)
g/8
13.
The product of 7 and j..
a)
7j
b)
j+3
c)
j-3
d)
j/3
14.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition 
15.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
16.

Evaluate the expression:

(10+5) -6

a)

9

b)

10

c)

11

d)

12

17.
42 x 43=
a)
16
b)
45
c)
42
18.
n2⋅n4
a)
n2
b)
n8
c)
n6
d)
n²²
19.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
20.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
21.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
22.
a)
58
b)
56
c)
52
d)
1
23.
x⁵⁄x³
a)
x²
b)
x
c)
1
d)
x⁸
24.
7⁰
a)
1
b)
7
c)
0
d)
-7
25.

Find the value of the power 2560

a)

256

b)

0

c)

1

d)

-256

26.

Find the value of the power 102

a)

100

b)

20

c)

10

d)

1000

27.

Find the value of the power 890

a)

1

b)

89

c)

1/89

d)

89/1

28.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
29.
Evaluate the expression 7/q  for q = 7. Simplify your answer.
a)
7/7
b)
1
c)
14
d)
0
30.
Evaluate the expression for n = 2 and p = 7.
np =
a)
9
b)
5
c)
15
d)
14
31.
Evaluate the expression for v = 3 and w = 3.
vw + w =
a)
14
b)
12
c)
6
d)
9
32.
Evaluate x ÷ 4 for x=48
a)
12
b)
44
c)
52
d)
192
33.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
34.
Evaluate n + 5² for n=3
a)
13
b)
8
c)
25
d)
28
35.
Evaluate x³ for x=4
a)
43
b)
12
c)
64
d)
16
36.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
37.
What is 1/2 squared?  
a)
1/4
b)
1/2
c)
1
d)
4
38.
What is 1/4 squared?  
a)
1/16
b)
1/4
c)
1/8
d)
1/2
39.
Solve.
(1/2)3
a)
1/8
b)
3/6
c)
3/8
d)
Answer Not Given
40.
(2/3)4
a)
8/12
b)
24/3
c)
24/34
d)
2434
41.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
42.
42 x 43=
a)
16
b)
45
c)
42
43.
650 x 69
a)
6450
b)
641
c)
659
44.
123 x 1280
a)
1283
b)
12
c)
12240
45.
Find the value of 104
a)
40
b)
10,000
c)
1,000
d)
400
46.
Which is NOT equivalent to 23
a)
6
b)
800%
c)
4(2)
d)
32/4
47.
Which is the same:
Six less than a number is twenty. 
a)
6-n=20
b)
6n=20
c)
n-6=20
d)
20-6=n
48.
Which of the following is equal to:
a + b
a)
a * b
b)
b - a
c)
a - b
d)
b + a 
49.
Solve:
10m+2+7m-3+5m   if m = 2
a)
43
b)
33
c)
20
d)
0
50.
90 - 52 x 3
a)
15
b)
240
c)
195
51.
27 ÷ 3 x 2 + 42
a)
34
b)
20.5
c)
26
52.
3 x 22 + 24 ÷ 8
a)
15
b)
10.5
c)
4.5
53.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
54.

Suppose you start a lawn care business in the summertime. You charge a flat fee of $10 plus $4 per hour (h). Write an expression to represent this situation and determine how many hours you need to work in order to make at least $30 for one lawn.

a)

10 + 4h; 5 hours

b)

10h + 4h; 2 hours

c)

10h + 4; 2.6 hours

d)

4h; 7.5 hours

55.

Kim wants to take her friends to Hershey Park for her birthday party. Adult tickets are $36 each and child tickets are $25 each. In addition, there is a flat fee of $15 for parking. Write an expression that could be used to calculate the cost of Kim's party, and determine the cost if 5 parents and 12 children went.

a)

61x + 15; $1052

b)

36x + 25y + 15; $495

c)

36 + 25x + 15y; $351

d)

x + y + 15; $250

56.

A carpenter uses 3 hinges to put up a door. He puts up four doors on the first floor and s doors on the second floor. Write an expression to represent this situation, and determine how many doors he put up on the second floor if he used 27 hinges overall.

a)

3s; 9 doors

b)

12s + 3; 2 doors

c)

12 + 3s; 5 doors

d)

9s; 3 doors

57.

During a sale on DVD's, the first DVD purchased costs $15, and each additional DVD costs $10. Write an expression to represent the total cost of the DVD's, and determine how many Jose bought if he spent $55.

a)

15 + 10x; 4 DVD's

b)

15x + 10; 3 DVD's

c)

25x ; 2 DVD's

d)

15x + 10x; 5 DVD's

58.

A gymnastics center charges a $60 registration fee and $15 per class. Which expression determines how much money Olivia will pay for gymnastics if x is the number of classes?

a)

60 - 15x

b)

15x - 60

c)

15x + 60

d)

210 + 15x

59.

Write an expression that could be used to determine the perimeter of the figure shown below.

a)

10x + 2

b)

6x + 2

c)

5x + 1

d)

x + 1

60.

Suppose Brian's monthly income can be represented by the expression 8x + 140 and David's monthly income can be represented by the expression 5x + 100. What is the difference in their monthly incomes?

a)

13x + 240

b)

3x + 240

c)

8x + 140 + 5x

d)

3x + 40

61.

Kim goes to the mall where she buys a pair of shoes that cost $80 and x shirts that cost $19.99 each. Which expression represents the total amount that Kim spent?

a)

80x + 19.99

b)

99.99x

c)

80 + 19.99x

d)

none of the above

62.

The table shown below represents the number of hours that Mike practiced his guitar each day. Which expression represents the total amount of time that Mike practiced his guitar?

a)

10x

b)

7x + 3

c)

8x + 3

d)

none of the above

63.
Pam put pink frosting on one-fourth of the cookies she made. If y is the total number of cookies she made, which expression shows the number of cookies with pink frosting?
a)
¼ y
b)
¼ + y
c)
y - ¼
d)
y ÷ ¼
64.
Sarah lives 5 miles farther from school than Grant. If g represents the distance Grant lives from school, which expression represents the total number of miles Sarah and Grant travel to school?
a)
(g + 5) + g
b)
(5 × g) + g
c)
(g + 5) + 5
d)
(5 × g) × 5
65.

Which situation can be represented by the expression 1.3x?

a)

the total cost of an item that is x dollars more than $1.30

b)

the area of a rectangle with side lengths 1.3 and x

c)

the amount of change when $1.30 is used to pay for an item costing x dollars

d)

the number of square feet in each lot when 1.3 acres is partitioned into x equal sections

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