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Worksheets

Solving One-Step Equations

Total questions: 92

Worksheet time: 3hrs 46mins

Name
Class
Date
1.
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.
2.
In an equation, you want to get the variable...
a)
on one side
b)
to disappear
c)
by itself
d)
to sing and dance
3.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 5 to both sides
b)
add 15 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
4.

Solve for x.


x + 12 = 20

a)

x = 8

b)

x = -32

c)

x = 32

d)

x = -8

5.

What is the value of V?


V + 23 = 45

a)

V = 68

b)

V = 22

c)

V = -22

d)

Not Here

6.

Choose the correct equation for the situation.


Jane (j) is 3 years older than Sam (s). If Jane 12, how old is Sam?

a)

s + 3 = 12

b)

s - 3 = 12

c)

j - 3 = 12

d)

j + 12 = 3

7.

What equation matches this situation?


Robyn had some video games (v) 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

8.

In 12 years, James will be 49. How old is he now?

a)

61

b)

-61

c)

-37

d)

37

9.
5 = f - 2
a)
4
b)
7
c)
-3
d)
2
10.
x + 4 = -3
a)
-1
b)
4
c)
-7
d)
8
11.

a)

16

b)

-16

c)

10

d)

-10

12.

Solve: s10 = 7\frac{s}{10}\ =\ 7  

(a)  

13.

Solve 2m = 18

a)

m=9

b)

m=36

c)

m=16

d)

m=20

14.

Solve 5h = 155h\ =\ 15

a)

h = 3

b)

h = 5

c)

h = 45

d)

h = 12

15.

Solve 10f = 6010f\ =\ 60

a)

h = 6

b)

h = 600

c)

h = 3

d)

h = 60

16.

Solve the equation k4=3\frac{k}{4}=3

a)

k = 12

b)

k = 14

c)

k = 2

d)

k = 24

17.

Solve the equation k8=3\frac{k}{8}=3

a)

k = 12

b)

k = 14

c)

k = 2

d)

k = 24

18.

In which equation does y = 2

a)

y + 4 = 6y\ +\ 4\ =\ 6

b)

y  3 = 5y\ -\ 3\ =\ 5

c)

y2=2\frac{y}{2}=2

d)

15y = 015y\ =\ 0

19.

In which equation does y = 5

a)

y + 4 = 6y\ +\ 4\ =\ 6

b)

y  5 = 10y\ -\ 5\ =\ 10

c)

y2=2.5\frac{y}{2}=2.5

d)

2y = 302y\ =\ 30

20.

An equation is?

a)

a problem that contains variables, numbers and operations but no equal sign

b)

a problem showing two expressions are equal

c)

The solution for a variable

d)

The value that results in a true sentence

21.

A solution is?

a)

a math problem with a variables, numbers and operations

b)

a math problem showing two expressions are equal.

c)

The operation in an equation

d)

What the variable in an equation equals

22.

The goal when solving an equation is to

a)

find what the variable is.

b)

check the solution.

c)

guess and check.

d)

combine like terms.

23.

We solve equations using

a)

fractions

b)

the distributive property

c)

inverse operations

d)

factors

24.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is no a difference

d)

Expressions do not have variables and equations have variables

25.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

26.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
27.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

d)

Multiplication

28.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

29.

What is the correct step to solve for the variable?


m - 5 = 15

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

30.

What is the correct step to solve for the variable ?


x + 7 = 12

a)

subtract 7 from both sides.

b)

add 7 to both sides.

c)

multiply both sides by 7

d)

divide both sides by 7

31.

What is the correct step to solve for the variable ?


x - 62 = 123

a)

add 62 to each side.

b)

subtract 62 from each side.

c)

multiply each side by 62.

d)

divide each side by 123

32.

What is the correct step to solve for the variable?


y + 25= 80

a)

add 25 to both sides

b)

subtract 25 to both sides

c)

divide 25 on both sides

d)

multiply 25 on both sides

33.

What is the correct step to solve for the variable ?


x + 11 = 44

a)

add 11 to both sides

b)

subtract 11 from both sides

c)

divide 11 to both sides

d)

multiply 11 to both sides

34.

What equation matches this story ?


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

35.
Solve the following equation
X + 8 = 15
a)
23
b)
-7
c)
7
d)
-23
36.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
37.
Solve the following equation
18 = 3b
a)
15
b)
6
c)
21
d)
54
38.
Solve the following equation
2y = 18
a)
36
b)
16
c)
9
d)
20
39.
Solve the following equation
c / 4 = 4
a)
1/4
b)
8
c)
1
d)
16
40.
Solve the equation:
x - 3 = -12
a)
x = 9 
b)
x = -15
c)
x = -9
d)
x = 15
41.
Solve the equation:
x - 5.5 = -10.5
a)
x = 15
b)
x = -15
c)
x = 5
d)
x = -5
42.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
43.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
44.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
45.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
46.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
47.
18+m=8
a)
m=0
b)
m=10
c)
m=-10
d)
m=8
48.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
49.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
50.
-12 + c = 38
a)
c = -19/6
b)
c = -456
c)
c = 26
d)
c = 50
51.
a - 27 = 41
a)
a = 68
b)
a = -41/27
c)
a = -1107
d)
a = 14
52.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

53.
10 = -7 + b
a)
b = -17
b)
b = 3
c)
b = 17
d)
b = -3
54.
x - (-1) = 11
a)
x = 10
b)
x = 12
c)
x = -10
d)
x = 11
55.

What is the solution to the equation: x + 5 = 12?

a)

4

b)

7

c)

9

d)

17

56.

Solve the equation: 8 - y = 3

a)

5

b)

0

c)

10

d)

2

57.

Find the value of x in the equation: 4x = 20

a)

2

b)

5

c)

10

d)

15

58.

What is the solution to the equation: 15 = 3y

a)

10

b)

7

c)

5

d)

2

59.

Solve the equation: 6 + z = 10

a)

2

b)

8

c)

14

d)

4

60.

Find the value of x in the equation: 2x = 14

a)

5

b)

7

c)

10

d)

3

61.

What is the solution to the equation: 9 = 3 + m

a)

6

b)

4

c)

8

d)

2

62.

Solve the equation: 12 - n = 7

a)

5

b)

10

c)

6

d)

4

63.

Find the value of x in the equation: 3x = 27

a)

9

b)

15

c)

12

d)

6

64.

What is the solution to the equation: 20 = 4p

a)

10

b)

5

c)

2

d)

25

65.
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.
66.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
67.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
68.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
69.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
b)
x+22=125,
x = 20 feet
c)
x-25=125
x=150 feet
d)
25x=125
x=3,125 feet
70.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
71.
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
72.
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
73.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
74.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
75.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
76.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
77.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
78.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
79.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
80.
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.
81.
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
82.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
83.
Solve the equation:
x - 5.5 = 10.5
a)
x = 16
b)
x = -15
c)
x = 5
d)
x = -5
84.

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

a)

multiply

b)

divide

c)

add

d)

subtract

85.
x - (-1) = 11
a)
x = 10
b)
x = 12
c)
x = -10
d)
x = 11
86.
-y = 22
a)
y = 1
b)
y = -22
c)
y = 0
d)
y = -1
87.
What is the first step to solve this equation:
  3x = 44
a)
Add 3 to both sides
b)
Subtract 3 from both sides
c)
Multiply 3 on both sides
d)
Divide 3 on both sides.
88.
-4 + r = 10
a)
r = 14
b)
r = 6
c)
r = -6
d)
r = 40
89.
10 = -7 + b
a)
b = -17
b)
b = 3
c)
b = 17
d)
b = -3
90.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
91.
n - 6 = -15
a)
n = -21
b)
n = -9
c)
n = 9
d)
n = 21
92.
Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?
a)
3x=24
b)
x/3=24
c)
24x =3
d)
x/24 =3