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Worksheets

Division Equations

Total questions: 114

Worksheet time: 6hrs 31mins

Name
Class
Date
1.
c/12 = 8
a)
96
b)
2/3
c)
4
d)
20
2.
4 = c/9
a)
13
b)
5
c)
4/9
d)
36
3.
c/15 = 11
a)
11/15
b)
26
c)
165
d)
4
4.
14 = c/5
a)
70
b)
14/5
c)
9
d)
19
5.
c/4 = 12
a)
48
b)
3
c)
8
d)
16
6.
c/4 = 15
a)
11
b)
4/15
c)
60
d)
19
7.
c/2 = 13
a)
26
b)
15
c)
11
d)
2/13
8.

Solve for x. Only type in the number. 

 x15=80\frac{x}{15}=80  

(a)  

9.

Solve for x. Only type in the number.

 x2.5=10\frac{x}{2.5}=10  

(a)  

10.

Solve for x. Only type in the number.

 x22=44\frac{x}{22}=44  

(a)  

11.

Solve for x. Only type in the number.

 x16 =0.5\frac{x}{16\ }=0.5  

(a)  

12.

Solve for x. Only type in the number.

 x0.2=7\frac{x}{0.2}=7  

(a)  

13.

Solve for x. Only type in the number.

 x14=12\frac{x}{\frac{1}{4}}=12  

(a)  

14.

6 = r∕3

a)

2

b)

9

c)

12

d)

18

15.

Solve 14 = w/2

a)

28

b)

24

c)

7

d)

6

16.

Solve x/12 = 3

a)

9

b)

4

c)

36

d)

24

17.

Solve for s.
 s9=6\frac{s}{9}=6  

(a)  

18.

Solve for h.
 h3=16\frac{h}{3}=16  

(a)  

19.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

20.
x/7 = 3
a)
x = 21
b)
x = 14 
c)
x = 35 
d)
x = 28 
21.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
22.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
23.

Solve the equation: n/4 = 7

a)

n = 16

b)

n = 32

c)

n = 28

d)

n = 40

24.

Solve the equation: x/9 = 12

a)

x = 18

b)

x = 36

c)

x = 81

d)

x = 108

25.

Solve the equation: g/6 = 12

a)

g = 72

b)

g = 54

c)

g = 36

d)

g = 42

26.

m/12 = 12

a)

m = 110

b)

m = 144

c)

m = 139

d)

m = 108

27.

The inverse of multiplication is

a)

addition

b)

subtraction

c)

multiplication

d)

division

28.

The inverse of subtraction is

a)

addition

b)

subtraction

c)

multiplication

d)

division

29.

Solve the equation: n/11 = 12

a)

n = 121

b)

n = 132

c)

n = 110

d)

n = 108

30.

The inverse of addition is

a)

addition

b)

subtraction

c)

multiplication

d)

division

31.

The inverse of division is

a)

addition

b)

subtraction

c)

multiplication

d)

division

32.

What is the first step to solve the following equation:

y + 9 = 83

a)

Add 9 on both sides

b)

Subtract 9 on both sides

c)

Add y to the right side

d)

Subtract 9 on the left side

33.

What is the first step to solve the following equation:

7x = 42

a)

Add 7 on both sides

b)

Subtract 7 on both sides

c)

Divide 7 on both sides

d)

Multiply 7 on both sides

34.

What is the first step to solve the following equation:

n/8 = 7

a)

Add 8 on both sides

b)

Subtract 8 on both sides

c)

Multiply 8 on both sides

d)

Divide 8 on both sides

35.

What is a solution to the equation

6t = 114?

a)

t = 19

b)

t = 108

c)

t = 120

d)

t = 684

36.

Solve the equation

8z = 112

a)

16

b)

14

c)

10

d)

8

37.

In the equation  m3=5\frac{m}{3}=5  then the value of m is:

a)

15

b)

10

c)

5

d)

3

38.

In the equation q6=9\frac{q}{6}=9 the value of q is: 

a)

27

b)

17

c)

72

d)

3

39.

In the equation x10=20\frac{x}{10}=20  the value of x is:


a)

200

b)

2

c)

20

d)

100

40.

In the equation y1.5=8\frac{y}{1.5}=8 , the value of y is:

a)

12

b)

8

c)

4

d)

1

41.

In the equation x1=5\frac{x}{1}=5  , then the value of x is:

a)

1

b)

10

c)

5

d)

0

42.

In the equation 5x=205x=20  , then the value of x is:


a)

100

b)

4

c)

5

d)

80

43.

a)

A

b)

B

c)

C

d)

D

44.

Combine like terms to create an equivalent expression: 4y + 5y

a)

9x

b)

9y

c)

20y

d)

9

45.

Combine like terms to create an equivalent expression: 2x + 2y + 3x + 7

a)

7x + 7

b)

4y + 3x + 7

c)

14

d)

5x + 2y + 7

46.

Combine like terms to create an equivalent expression:  2x2 + 3x + x2 + 42x^2\ +\ 3x\ +\ x^2\ +\ 4  

a)

 6x2 + 46x^2\ +\ 4  

b)

 3x2 + 3x + 43x^2\ +\ 3x\ +\ 4  

c)

 1010  

d)

 5x + x2 + 45x\ +\ x^2\ +\ 4  

47.

7(r + 3)

a)

7r + 21

b)

7r + 3

c)

10

48.

Use the Distributive Property to write an equivalent expression: 6(2x + 5)

a)

12x + 5

b)

12x - 5

c)

12x + 30

49.

Solve the equation using inverse operations: y - 6 = 5

a)

y = -1

b)

y = 11

c)

y = 30

d)

y = 5

50.

Solve the equation using inverse operations: 7 = m + 3

a)

m = 10

b)

m = 21

c)

m = 4

d)

m = 1

51.

5 = s - 2

a)

s = 7

b)

s = 3

c)

s = 10

d)

s = 2.5

52.

 x3 = 10\frac{x}{3}\ =\ 10  

a)

x = 13

b)

x = 3

c)

x = 30

d)

x = 7

53.

5x = 20

a)

x = 4

b)

x = 16

c)

x = 80

d)

x = 25

54.

 y4 = 9\frac{y}{4}\ =\ 9  

a)

y = 5

b)

y = 13 

c)

y = 2.5

d)

y = 36

55.

7t = 28

a)

t = 21

b)

t = 35

c)

t = 4

d)

t = 196

56.

Find the value of m: m5 = 10\frac{m}{5}\ =\ 10  

a)

2

b)

5

c)

50

57.

Find the value of a:  12 = a412\ =\ \frac{a}{4}  

a)

48

b)

3

c)

8

58.

 x5=20\frac{x}{5}=20  

a)

100

b)

120

c)

4

d)

5

59.

 x9=12\frac{x}{9}=12  

a)

x = 18

b)

x = 36

c)

x = 81

d)

x = 108

60.

 g6=12\frac{g}{6}=12  


a)

g = 72

b)

g = 54

c)

g = 36

d)

g = 42

61.

Solve the equation:

 n11=12\frac{n}{11}=12  

a)

n = 121

b)

n = 132

c)

n = 110

d)

n = 108

62.

What is the first step to solve the following equation:

 n8=7\frac{n}{8}=7  

a)

Add 8 on both sides

b)

Subtract 8 on both sides

c)

Multiply 8 on both sides

d)

Divide 8 on both sides

63.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
64.

Why do you divide by 5?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 5 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 5 on both sides.

65.

Why do you divide by 5 on both sides?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 5 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 5 on both sides.

66.

Why do you multiply by 7 on both sides?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 7 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 7 on both sides.

67.

Why do you multiply by 7?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 7 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 7 on both sides.

68.

How do you solve this equation?

a)

divide by 3 on both sides

b)

divide by 3.3 on both sides

c)

multiply by 3 on both sides

d)

multiply by 3.3 on both sides

69.

Why do you multiply by 8?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 8 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 8 on both sides.

70.

Why do you multiply by 8 on both sides?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 8 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 8 on both sides.

71.
Which word DOES NOT indicate addition?
a)
increased by
b)
more than
c)
sum
d)
fewer
72.
Which word indicates division?
a)
difference
b)
sum
c)
product
d)
quotient
73.

In the expression below the "9" is which part of the expression?

9y + 11

a)

constant

b)

coefficient

c)

variable

d)

operation

74.
Identify a constant in the expression
3x + 2y + 7
a)
3
b)
2y
c)
7
d)
2
75.
Identify the coefficient in the expression
4m + n + 2
a)
2
b)
4
c)
m
d)
n
76.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
77.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
78.
Which ratio represents the relationship of bananas to apples?
a)
3:8
b)
8:3
c)
3:2
d)
2:3
79.
"Which represents the relationship of oranges to fruit?"
What type of ratio is this?
a)
Part-to-Part
b)
Part-to-Whole
80.
What is the ratio of vowels to consonants in the word below? (In this case, y is NOT a vowel.)
BUCKEYES
a)
3:8
b)
5:3
c)
3:5
d)
8:3
81.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
82.
90 - 52 x 3
a)
15
b)
240
c)
195
83.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
84.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
85.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
86.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
87.
What is the reciprocal of 3/4?
a)
4/3
b)
3/4
c)
1/4 lb
d)
none of the above
88.
What is the recriprocal of 4/5
a)
4/5
b)
5/4
c)
5/1
d)
1/5
89.
What is another name of flip?
a)
Flip
b)
Reciprocal
90.

Find the quotient. Simplify if necessary.

a)

1 1/3

b)

1 1/4

c)

1 1/2

d)

4/12

91.

What is the reciprocal of 11/12?

a)

12/11

b)

11/12

c)

21/11

d)

11/21

92.

Solve the equation:

5.2x = 26

a)

x = 20

b)

x = -20

c)

x = 15

d)

x = 5

93.
At a restaurant, Mike and his three friends decided to divide the bill evenly. If  the bill total is $39 how  much did each person pay? Use the equation 3x= 39
a)
13
b)
40
c)
1521
d)
3
94.

8x = 96

a)

x = 11

b)

x = 12

c)

x = 13

d)

x = 14

95.
7x = 21
a)
x = 3
b)
x = -3
c)
x = 28
d)
x = 30
96.
3x = 15
a)
18
b)
-5
c)
x = 5
d)
x=12
97.
The division property of equality can be used to solve the following. 
4p = 16
a)
True 
b)
False
98.

Solve the equation:

2w = 58

a)

w = 29

b)

w = 32

c)

w = 15

d)

w = 116

99.

Which property should be used to solve this equation? 5x = 200

a)

multiplication property of equality

b)

division property of equality

c)

addition property of equality

d)

subtraction property of equality

100.
Which property should be used to solve this equation?  9c = 36
a)
addition property of equality
b)
subtraction property of equality
c)
division property of equality
d)
multiplication property of equality
101.

Which property should be used to solve this equation? 8v = 72

a)

subtraction property of equality

b)

addition property of equality

c)

division property of equality

d)

multiplication property of equality

102.
17  + k = 28.5
a)
k = 8.5
b)
k = 11.5
c)
k = 11
d)
k = 9
103.
Tara had 37 pens, p. She gave Jim 8 pens. How many does Tara have left? 
p - 8 = ?
a)
45
b)
37
c)
29
d)
8
104.
a + 11 = 20
a)
18
b)
-6
c)
9
d)
-4
105.
15 + b = 23.7
a)
6.7
b)
8.7
c)
4
d)
8
106.
x + 7 =  11
a)
4
b)
-4
c)
18
d)
18
107.
x - 9 = 2
a)
-7
b)
11
c)
-11
d)
7
108.
x - 14.50 = 2.50
a)
7
b)
28
c)
17
d)
16
109.
18 + m = 8
a)
m=0
b)
m=10
c)
m=-10
d)
m=8
110.
d + 13 = 163
Which of the following should be used to solve this equation? 
a)
Addition property of equality
b)
associative property
c)
subtraction property of equality
d)
distributive property 
111.
t - 15 = 45
Which property should be used to solve this equation? 
a)
addition property of equality
b)
distributive property
c)
subtraction property of equality
d)
associative property
112.
r + 12 = 25
a)
37
b)
13
c)
300
d)
Answer not Given
113.
r + 12 = 25
a)
37
b)
13
c)
300
d)
Answer not Given
114.
n - 6.72 = 14.28
a)
n = -21
b)
n = -9
c)
n = 9
d)
n = 21