wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Solving Multistep Equations

Total questions: 80

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

2v + v = 3-2v\ +\ v\ =\ 3  

a)

4

b)

5-5

c)

3-3

d)

5

2.

21=3+4n+5n21=3+4n+5n  

a)

9

b)

7-7  

c)

6

d)

2

3.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

4.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
5.

97=3(6n5)897=-3\left(6n-5\right)-8  

a)

10-10  

b)

1616  

c)

5-5  

d)

2-2  

6.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

7.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

8.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
9.
2m + 6m = 32
a)
m = 8
b)
m = 4
c)
m = -4
d)
m = -8
10.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
11.

Solve the equation.

a)

x = 6

b)

x = 30

c)

x = 3.3

d)

x = 54

12.

21=3+4n+5n21=3+4n+5n  

a)

9

b)

7-7  

c)

6

d)

2

13.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

14.

97=3(6n5)897=-3\left(6n-5\right)-8  

a)

10-10  

b)

1616  

c)

5-5  

d)

2-2  

15.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

16.
Solve for x:
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
17.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

18.

118=5(4+7x)+7-118=-5\left(4+7x\right)+7  

a)

5-5  

b)

9-9  

c)

33  

d)

1-1  

19.

97=3(6n5)897=-3\left(6n-5\right)-8  

a)

10-10  

b)

1616  

c)

5-5  

d)

2-2  

20.

Solve:
3x+15=3(x+5)3x+15=3\left(x+5\right)  

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

21.

Solve:

4x+3(5x+10)=36-4x+3\left(5x+10\right)=-36  

a)

x = 12

b)

x = -10

c)

x = -6

d)

x = -16

22.

Solve:
3xx+4=4(2x+1)3x-x+4=4\left(2x+1\right)  

a)

No Solution

b)

All Real Numbers 

c)

x = 6

d)

x = 0

23.

Solve the following for d: 0.5(2x-6)=0.2(4x-10)

a)

-5

b)

5

c)

0.5

d)

-10

24.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
25.

21=3+4n+5n21=3+4n+5n  

a)

9

b)

7-7  

c)

6

d)

2

26.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
27.
2m + 6m = 32
a)
m = 8
b)
m = 4
c)
m = -4
d)
m = -8
28.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

29.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
30.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
31.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

32.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

33.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

34.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
35.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
36.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

37.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

38.
2m + 6m = 32
a)
m = 8
b)
m = 4
c)
m = -4
d)
m = -8
39.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
40.

After questions 1-3, what is the answer to:

2x - 3 + 4x = 27

(a)  

41.

Solve for n:

4n - 1 = 6n + 8 - 8n + 15

(a)  

42.

1 + 9a - 8 = 8a

(a)  

43.

What will the equation look like after you distribute?

a)

-6x - 8 = 10

b)

-6x + 8 = 10

c)

-5x - 6 = 10

d)

-5x + 6 = 10

44.

2(m + 10) = 4(m - 15)

(a)  

45.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

46.

Solve the equation.

a)

x = 1

b)

x = 5

c)

x = 0.27

d)

x = 1.36

47.
3y+4y+6=20
a)
y=2
b)
y=-2
c)
y=4
d)
y=3
48.

Solve:
3xx+4=4(2x+1)3x-x+4=4\left(2x+1\right)  

SHOW YOUR WORK ON PAPER!!

a)

No Solution

b)

All Real Numbers 

c)

x = 6

d)

x = 0

49.

34x+25=x710\frac{3}{4}x+\frac{2}{5}=x-\frac{7}{10}  

SHOW YOUR WORK ON PAPER!!

a)

225\frac{22}{5}  

b)

522\frac{5}{22}  

c)

2215\frac{22}{15}  

d)

114\frac{11}{4}

50.

Solve:

6x+10>5x-12

SHOW YOUR WORK ON PAPER!!

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

51.

Solve and graph the inequality.

77 ≤ 5 + 8n

SHOW YOUR WORK ON PAPER!

a)

A

b)

B

c)

C

d)

D

52.

Combine the like terms.

13 - 6k + 2k

a)

9k

b)

13 - 4k

c)

13 - 8k

53.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
54.
6 ( 2n + 5 ) = 66
a)
3
b)
5.08
c)
8
d)
432
55.

5h - 6 - h + 10 = 12

a)

h= 12

b)

h= 2

c)

h= 0

d)

h= 5

56.
Solve for x:
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
57.

Simplify the following equation and solve for x:

3x+2(4x4)=33x+2(4x-4)=3  

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

58.

Solve your answer will be apositive

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

59.
Solve    2x -7 = -23
a)
-8
b)
8
c)
-7
60.
Solve
a)
5
b)
-6
c)
6
d)
21
61.

Solve.

a)

y = 16

b)

y = 96

c)

y = 1.5

d)

y = -16

62.
a)
19
b)
-9
c)
-100
d)
-50
63.

Solve the equation.

Show your work on your paper!

a)

12

b)

4

c)

1

d)

5

64.

Solve the equation.

Show your work on your paper!

a)

-6

b)

-13

c)

-4

d)

3

65.

Solve the equation.

Show your work on your paper!

a)

-5

b)

-6

c)

-1

d)

2

66.

Solve the equation.

Show your work on your paper!

a)

-3

b)

4

c)

No solution

d)

-14

67.

Solve the equation.

Show your work on your paper!

a)

-7

b)

-1

c)

11

d)

2

68.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
69.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
70.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
71.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
72.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
73.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
74.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
75.
Solve.
(x/4) + 10 = 34
a)
x = 4
b)
x = 6
c)
x = 96
d)
x = 144
76.

-2m-4=8

a)

6

b)

7

c)

5

77.

X+X=2x=48

a)

13

b)

12

c)

11

78.

3y+4+3y-6=34

a)

6

b)

5

c)

3

79.

9(w-6)=36

a)

2

b)

3

c)

1

80.

-5(t+3) =-30

a)

3

b)

8

c)

10