wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

untitled

Total questions: 65

Worksheet time: 3hrs 23mins

Name
Class
Date
1.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
2.
Simplify:
x5 ÷ x2
a)
x7
b)
x3
c)
x10
d)
x2.5
3.
Simplify:
(x3)(x2)
a)
x5
b)
x6
c)
x
d)
x1.5
4.
a)
x12
b)
x-12
c)
x2
d)
x-2
5.
a)
w
b)
w-1= 1/w
c)
-w
d)
w17
6.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
7.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
8.
How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
a)
57
b)
56
c)
75
d)
5
9.
Simplify:
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
10.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
11.
Multiply
a)
100
b)
101
c)
10-2
d)
1/100
12.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
13.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
14.

Which of the following is in exponential form?

a)

5 x 5 x 5

b)

125

c)

53

15.

10210^2  Identify the base 

a)

10

b)

2

16.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

17.
√121
a)
12
b)
10
c)
11
d)
3
18.
a)
8
b)
9
c)
10
d)
11
19.

Determine if the  324\sqrt{324} is rational or irrational.

a)

Rational

b)

Irrational

20.

Which of the following numbers is not rational?

a)

−3-3

b)

2.72.7

c)

4\sqrt{4}

d)

5\sqrt{5}

21.
∛125
a)
5
b)
4
c)
6
d)
7
22.
What kind of number is   π   ?
a)
rational
b)
irrational
c)
whole
d)
integer
23.
Is 3.74 a rational number?
a)
yes
b)
no
24.
a)
9
b)
3
c)
1/3
d)
1
25.
∛216
a)
6
b)
72
c)
108
d)
4
26.
A repeating decimal is what type of number?
a)
Rational 
b)
Irrational
27.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
28.
Which number is rational?
a)
∛51
b)
√94
c)
∛12
d)
√64
29.
196
a)
Is a perfect square.
b)
Is not a perfect square.
30.
Between which two whole numbers is the 
√20 ?
a)
5 and 6
b)
10 and 2
c)
4 and 5
d)
3 and 4
31.
Find the best estimate for √18 .
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
32.

11\sqrt{11} estimate and round to the nearest tenth 

a)

9.2

b)

5

c)

11.4

d)

3.2

33.

√48 estimate and round to the nearest tenth

a)

7.1

b)

6.9

c)

24

d)

6.3

34.

Estimate the square root to the nearest tenth: 61\sqrt{61}  

a)

7.4

b)

7.5

c)

7.7

d)

7.8

35.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

36.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

37.

Level 3: Estimate the square root.

a)

Between 7 and 8 and closer to 8

b)

Between 8 and 9 and closer to 9

c)

Between 9 and 10 and closer to 9

d)

Between 9 and 19 and closer to 10

38.

Between which two integers is the  44\sqrt{44}  ?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

39.

Level 1: Between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

40.

You are going to put a shelf along the top of one of the walls of your bedroom. The wall is a square wall with an area of 256 square feet. How long does your shelf need to be to run the width of the wall?

a)

12 feet

b)

16 feet

c)

20 feet

41.

The diagram shows Sam's backyard divided into three square areas. If Sam only wants to fence the outside edge to make one big yard, how much fencing does he need to buy? (hint: find the lengths of each area and then find the perimeter of the entire yard.)

a)

96 ft

b)

84 ft

c)

108 ft

42.

A land developer divided his land into square parcels. One large section has an area of 112 square miles. To the nearest tenth of a mile, what is the length of one side of this parcel?

a)

10.5 miles

b)

10.6 miles

c)

10.8 miles

43.

For a school project, you have to fill a poster that is 1600 square inches. What is the length of one side of the poster?

a)

42 inches

b)

40 inches

c)

39 inches

44.

What number, n, cubed is equal to -64?

n3 = -64

a)

4

b)

-4

c)

8

d)

-262,144

45.

The number 512 is a perfect cube because 512 = 83.

Which number below is also a perfect cube?

a)

125

b)

300

c)

150

d)

256

46.
a)

443 1/3

b)

13

c)

31

d)

11

47.

If I know the volume of a cube, how do I find the side length?

a)

I cube the volume.

b)

I divide the volume by 3.

c)

I take the square root of the volume.

d)

I take the cube root of the volume.

48.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)

I take the cube root of the area.

49.

x² = 121
What does x equal? Select all that apply.

a)

121²

b)

-11

c)

11

d)

14,641

50.

The area of a square picture frame is 100 cm2.  What is the perimeter of the frame?

a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
51.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)

± 6\pm\ 6 cm

c)

18 cm

d)

± 18\pm\ 18 cm

52.

(−6)2\left(-6\right)^2  = ?

a)

12

b)

-12

c)

-36

d)

36

53.

Select all the possible solutions.

x2=64x^2=64

a)

-8

b)

8

c)

4

d)

-4

54.

Solve for x when x3=18x^3=\frac{1}{8}  

a)

2

b)

164\frac{1}{64}  

c)

13\frac{1}{3}  

d)

12\frac{1}{2}  

55.

Which of the following is irrational?

a)

49\sqrt{49}

b)

50\sqrt{50}

c)

81\sqrt{81}

d)

121\sqrt{121}

56.
a)
a7
b)
a10
c)
a3
d)
a-3
57.
Simplify:
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
58.
a)
2560
b)
2517
c)
560
d)
517
59.

Using the rules of exponents, simplify the following expression. Your answer should be in exponential form.

a)

73 x 52

b)

74 x 58

c)

73 x 54

d)

72 x 54

60.
(23)(22)
a)
64
b)
8
c)
32
d)
4
61.
a)
49
b)
444
c)
421
d)
415
62.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
63.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
64.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
65.
a)
9-4
b)
9-45
c)
3-4
d)
3-45

Similar Resources on Wayground

Show What You Know Review 2025

69 questions

Show What You Know Review 2025

quiz

Worksheet

•

6th Grade - University

Math Unit 8 Mr. Reisinger

66 questions

Math Unit 8 Mr. Reisinger

quiz

Worksheet

•

8th Grade - University

Properties of Exponents Review

60 questions

Properties of Exponents Review

quiz

Worksheet

•

6th - 8th Grade

Pre-Test: Basic Math concepts

70 questions

Pre-Test: Basic Math concepts

quiz

Worksheet

•

7th - 8th Grade

8th Grade Second Semester Final Exam Review

70 questions

8th Grade Second Semester Final Exam Review

quiz

Worksheet

•

8th Grade

Rockin' Review Vocab - 6th Grade

62 questions

Rockin' Review Vocab - 6th Grade

quiz

Worksheet

•

8th Grade

Algebra 1 EOC Review #3

62 questions

Algebra 1 EOC Review #3

quiz

Worksheet

•

8th Grade