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Worksheets

SOLVING EQUATIONS 2019

Total questions: 145

Worksheet time: 6hrs 44mins

Name
Class
Date
1.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
2.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
3.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
4.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
5.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
6.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
7.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
8.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
9.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
10.

how would you solve this equation: 9x=153?

a)

multiply by 9 on both sides

b)

divide by 9 on both sides

c)

add 9 to both sides

d)

subtract 9 from both sides

11.
Solve for the missing variable:
a)
m = 5
b)
m = 1/5
c)
m = 25
d)
m = 55
12.
5m = 10  solve for m
a)
50
b)
15
c)
5
d)
2
13.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
14.

y + 6 = 20

a)

y = 22

b)

y = 13

c)

y = 14

d)

y = 16

15.
x - 10 = 12
a)
22
b)
-22
c)
2
d)
-2
16.
12 + z = 15
a)
-3
b)
3
c)
-27
d)
27
17.
2 + n =16
a)
18
b)
-18
c)
14
d)
-14
18.
a + 4 = 14
a)
-10
b)
10
c)
-18
d)
18
19.
4 + b = 30
a)
-34
b)
34
c)
-26
d)
26
20.
10 + c = 25
a)
-15
b)
15
c)
-35
d)
35
21.
x - 60 = 20
a)
-80
b)
80
c)
-40
d)
40
22.
g - 16 = 4
a)
-12
b)
12
c)
-20
d)
20
23.
r - 18 = 27
a)
-45
b)
45
c)
-9
d)
9
24.
13 + k = 25
a)
-12
b)
12
c)
-38
d)
38
25.
f - 16 = 34
a)
-18
b)
18
c)
-50
d)
50
26.
j + 17 = 19
a)
-2
b)
2
c)
-36
d)
36
27.
r - 16 = 5
a)
-11
b)
11
c)
-21
d)
21
28.
9 + t = 56
a)
-47
b)
47
c)
-65
d)
65
29.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
30.
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.
31.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
32.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
33.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
34.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
35.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
36.
Solve the equation:
0 = 4h
a)
h = 4
b)
g = 1
c)
g = -4
d)
g = 0
37.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
38.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
39.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
40.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
41.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
42.
18+m=8
a)
m=0
b)
m=10
c)
m=-10
d)
m=8
43.
144=12z
a)
z=20
b)
z=11
c)
z=12
44.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
45.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
46.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
47.
Solve the equation:
x - 5.5 = 10.5
a)
x = 16
b)
x = -15
c)
x = 5
d)
x = -5
48.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
49.

Solve.

d-5.5=2.2

a)

d= 3.3

b)

d= -3.3

c)

d= 7.7

d)

d= 6

50.

What is the opposite operation of division?

a)

multiplication

b)

addition

c)

subtraction

d)

division

51.

Solve.

3.3+g=8

a)

g= 4.7

b)

g= 5.7

c)

g= 3.5

d)

g= 11.3

52.

For the equation: r/3= 6.1

What operation do I have to do with 3 on both sides?

a)

divide by 3

b)

subtract 3

c)

multiply by 3

d)

add 3

53.

Solve.

2.3h=11.5

a)

h= 5

b)

h= 26.45

c)

h= 0.2

d)

h= 0.5

54.

What is the opposite operation of subtraction?

a)

multiplication

b)

addition

c)

subtraction

d)

dividing

55.

Solve.

n/5.2= 4.9

a)

n= 25.48

b)

n= 1.06

c)

n= 0.3

d)

n= 10.1

56.

For the equation: x-3.7= 33.3

What operation do I have to do on both sides with 3.7?

a)

subtract 3.7

b)

add 3.7

c)

multiply by 3.7

d)

divide by 3.7

57.

What is the opposite operation of multiplication?

a)

addition

b)

subtraction

c)

multiplying

d)

dividing

58.

Solve.

3.1d=18.6

a)

d= 0.17

b)

d= 57.66

c)

d= 0.6

d)

d= 6

59.

Solve.

m/1.2= 5.5

a)

m= 6.6

b)

m= 4.6

c)

m= 4.3

d)

m=6.4

60.

What is the opposite operation of addition?

a)

addition

b)

subtraction

c)

multiplying

d)

dividing

61.
4x = 44
a)
x = 40
b)
x = 11
c)
x = 48
d)
x = 176
62.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
63.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
64.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
65.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
66.
x + 40 = 56
a)
x = 16
b)
x = 96
c)
x = 15
d)
x = 10
67.
x ÷ 13 = 8
a)
x = 91
b)
x = 104
c)
x = 21
d)
x = 5
68.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
69.
2n=100
a)
N=10
b)
N=50
c)
N=20
70.
7.    4y = 48
a)
x =12
b)
x = -12
c)
x = 192
d)
x = -13
71.

What does inverse mean?

a)

opposite

b)

the same

c)

similar

d)

to add

72.

What is the inverse of +6

a)

-6

b)

x6

c)

Divide 6

d)

Square 6

73.

Solve 3+(2-1)

a)

3

b)

4

c)

6

d)

1

74.

Expand 4(x+1)

a)

4x+1

b)

x+1

c)

4

d)

4x+4

75.

expand 5(p-2)

a)

5p-2

b)

5p-15

c)

5p-10

d)

5

76.

Simplify : 3a+3b+4a+7b+2a

a)

9a+10b

b)

6a+10b

c)

3a+3b+4a+7b+2a

d)

I dont know

77.

Solve w+3=19

a)

22

b)

12

c)

16

d)

4

78.

Solve 5a=10

a)

50

b)

0.5

c)

5

d)

2

79.

Find the solution for the equation.

a)

x = 16

b)

x = 45

c)

x = 9

80.

Find the solution for the equation.

a)

m = 7

b)

m = 10

c)

m = 9

81.

Find the solution for the equation.

a)

e = 11

b)

e = 15

c)

e = 10

82.

Find the solution for the equation.

a)

x = 6

b)

x = 9

c)

x = 4

83.

Find the solution for the equation.

a)

y = 4

b)

y = 10

c)

y = 9

84.

Find the solution to the equation.

a)

g = 3

b)

g = 10

c)

g = 8

85.

Find the solution to the equation.

a)

y = 7

b)

y = 10

c)

y = 9

86.

Find the solution to the equation.

a)

n = 2

b)

n = 7

c)

n = 6

87.

Find the solution to the equation.

a)

c = 3

b)

c = 5

c)

c = 10

88.

Find the solution to the equation.

a)

a = 9

b)

a = 10

c)

a = 4

89.

Find the solution to the equation.

a)

v = 8

b)

v = 10

c)

v = 3

90.

Find the solution to the equation.

a)

x = 6

b)

x = 10

c)

x = 15

91.

Find the solution to the equation.

a)

y = 12

b)

y = 10

c)

y = 5

92.

Find the solution to the equation.

a)

d = 16

b)

d = 9

c)

d = 19

93.

What is the first step to solve this equation?

a)

Add 14 to both sides

b)

Add 9 to both sides

c)

I don't know

94.

What is the first step to solve this equation?

a)

Add -10

or

Subtract 10

from both sides

b)

Subtract 58 from both sides

c)

I don't know

95.

What is the first step in solving this equation?

a)

Divide both sides by 13

or

Multiply both sides by 1/13

b)

Divide both sides by 52

c)

I don't know

96.

What is the first step when solving this equation?

a)

Multiply both sides by 2

b)

Multiply both sides by 8

c)

I don't know

97.

"Opposite operations" which "undo" each other when solving equations are more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

98.

a - 27 = 41

a)

a = 68

b)

a = 16

c)

a = 26

d)

a = 14

99.

Solve the equation:

20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

100.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
101.

how would you solve this equation: 8x = 64?

a)

multiply

b)

divide

c)

add

d)

subtract

102.
Evaluate the expression when y = 5
2y2 + 3y
a)
75
b)
65
c)
115
d)
105
103.
Evaluate the expression when x = 7 and y = 4
xy - 4(2)
a)
3
b)
20
c)
48
104.
Evaluate the expression when x = 7 and y = 4
xy - 4(2)
a)
3
b)
20
c)
48
105.
Write an algebraic expression for 3 more than a number.
a)
n + 3
b)
n - 3
c)
3n
d)
n/3
106.
Write an expression for the product of 12 and a number.
a)
n + 12
b)
n - 12
c)
12n
d)
n/12
107.
Let "p" represent the number of paper clips in a box.  If there are 76 boxes in a case, write an algebraic expression to show the total number of paper clips.
a)
125p
b)
76(p)
c)
76 + p
d)
125 = p
108.
Ten more than four times a number
a)
4 x 10 x m
b)
4m + 10
c)
10 + 4 + m
d)
10m + 4
109.
Five times the difference of a number and 9
a)
5x - 9
b)
5(x - 9)
c)
5(x + 9)
d)
5(9) - y
110.
Adult tickets to the play cost $5 dollars less than 2 times a child's ticket. If c is the price of a child's ticket, which of the following represents the price of an adult's ticket?
a)
5c - 2
b)
5c + 2
c)
2c + 5
d)
2c - 5
111.
"Subtracted from" and "less than" are terms that mean you need to "work backwards".
a)
True
b)
False
112.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
113.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
114.
Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y
a)
22
b)
40
c)
142
d)
-86
115.
What is the first step in solving this problem:
12 ÷ 6 (3) + 8
a)
multiplication
b)
addition
c)
division
d)
subtraction
116.
a2 - b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
117.
Evaluate if a = 2 and b = 8
6 + 7b - 3a
a)
-100
b)
100
c)
-56
d)
56
118.
Evaluate
(a + b)c + ab
when 
a = 3, b = 5, and c = 2
a)
26
b)
31
c)
79
d)
49
119.
Which situation is best represented by x-32=8?
a)
Logan withdrew $32 from his bank account.  After his withdrawal, his balance was $8.  How much was originally in his account?
b)
Daniel has 32 baseball cards.  Joseph has 8 fewer baseball cards than Daniel.  How many baseball cards does Joseph have?
c)
Room A contains 32 desks.  Room B has 8 fewer desks.  How many desks are in Room B?
d)
Janelle bought a bag of 32 craft sticks for a project.  She used 8 craft sticks.  How many craft sticks does she have?
120.
Nancy won a certain number of pieces of gum playing the bean bag toss at the county fair. At school she gave 21 away to her classmates. She only has 5 remaining. How many did she give away? Write an equation to solve this problem using g as your variable.
a)
g/21=5
b)
g-21=5
c)
g-5=21
d)
g+5=21
121.
Jamie has saved $42 of her allowance to buy books. If she buys 5 books at d dollars per book, she will have 42 - 5d of her allowance left. How much does she have left if the books cost $3.50 each?
a)
$17.50
b)
$24.50
c)
$33.50
d)
$37
122.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
123.
There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left.
a)
16
b)
x + 16
c)
16 - x
d)
x - 16
124.
Twelve less than the product of a number and 8
a)
12  -  8n
b)
12 - (n + 8)
c)
8n - 12
d)
12/8n
125.
Which expression below describes the following algebraic expression?
4(x + 6)
a)
four times x plus 6
b)
x plus six times four
c)
four times the sum of x plus 6
d)
four times six plus x
126.
Write an algebraic expression for:
 35 decreased by a number
a)
35+n
b)
35-n
c)
n-35
127.
Evaluate the expression when
x =5    and   z = 4
z2  - 2x
a)
6
b)
2
c)
17
d)
26
128.

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 15x + 40

b)

y = 40x + 15

c)

y = 15x

d)

y = 15x - 40

129.

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

a)

y = 12.50 + 30x

b)

y = 30 + 12.50x

c)

y = 12.50 + 30

d)

12.50x = 30

130.

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

a)

y = -50x + 90

b)

y = 90x + 50

c)

y = -90 - 50x

d)

y = 50 - 90x

131.

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

a)

c = 0.12m + 8m

b)

c = 8m + 0.12m

c)

c = 0.12m + 8

d)

c = 0.20m

132.

Thomas got a speeding ticket. The officer said he had to pay $10 for each mile(m) per hour he was going over the speed limit plus $115 in court cost. Which equation models the total cost of Thomas' fine?

a)

c = 125m

b)

c = 10m + 115

c)

c = 115m + 10

d)

c = 10m - 115

133.

Daniel is paid $10 per week for selling newspaper subscriptions. He is also paid $3.50 for each new customer(x) that signs up for the subscription. Which equation represents the amount(y) Daniel earns in a week?

a)

y = 10 + 3.50x

b)

y = 10 + x

c)

y = 3.50x

d)

y = 3.50x

134.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
135.
Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
136.
For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.
a)
y = 12 + 325
b)
y = 12x  + 325
c)
y = 325 - 12x
d)
y = 325x + 12
137.
A plant is 5cm tall and growing at a rate of 3cm a month.
a)
y = 5 + 3
b)
y = 5x + 3
c)
y = 3x + 5
d)
y = 3x + 5x
138.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
139.

DeShawn's Bikes rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours did she rent the bike?

a)

5

b)

8

c)

51

d)

11

140.
Trevon's Bikes rents bikes for $18 plus $8 per hour. Jaidee paid $74 to rent a bike. For how many hours did she rent the bike?
a)
14
b)
7
c)
3
d)
8
141.

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

a)

12.5x +9 = 43.73

b)

73.43 = 12.5x + 9

c)

12.5 - 9x = 43.73

d)

43.73 = 12.5 + 9x

142.

Bridgette goes shopping for new jeans and shirts. She buys 1 pair of jeans for $22 and 3 shirts. Her total is $67. How much did each shirt cost?

a)

1 + 22 = 3 + 67

b)

22x + 3 = 67

c)

67 = 22 + 3x

d)

67 - 22x = 3

143.

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

a)

12 + 14x = 50

b)

12x + 14 = 50

c)

50 - 14 - 12 = x

d)

50x + 12 = 14

144.

Choose the equation that matches the word problem.


A basketball game is 32 minutes long. 14 minutes of the game have been played. Write an equation to find the number of minutes m that remain.

a)

x = 32 - 14

b)

m + 14 = 32

c)

14m = 32

d)

m - 14 = 32

145.

Choose the equation that matches the word problem.


The area of a rectangular banner is 150 square feet. The banner is 30 feet long. Write an equation you can use to find the height h of the banner.

a)

30h = 150

b)

h + 30 = 150

c)

2h + 60 = 150

d)

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