Free Printable Equations with Variables on Both Sides

1.

Solve:
7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

2.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

3.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

4.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

5.

Solve the equation:
4x - 5x + 9 = 5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

6.

What is the final answer to

10 + 2n = 8n - 2n + 10 ?

a)

12

b)

5

c)

0

d)

-15

7.

Solve for x:

2x - 5 = 3x + 4

a)

x = 6

b)

x = -9

c)

x = -18/13

d)

x = 10/3

8.

5w + 5 = 8w - 10

a)

-5

b)

-2

c)

2

d)

5

9.

Solve the equation

4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

10.

8x - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

11.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the value of the variable

b)

Find the constant

c)

Be confused

d)

Find the coefficient

12.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

13.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

14.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

15.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

16.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

17.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

18.

Solve:

$9+2a=-3-4a$

a)

a = -2

b)

a = 2

c)

a = 5

d)

a = -1

19.

Solve:

$2b+4=7+b$

a)

b = 1

b)

b = -3

c)

b = -1

d)

b = 3

20.

Solve:

$2+14c=-8+9c$

a)

c = 2

b)

c = -2

c)

c = 6⁄5

d)

c = 1

21.

Solve:

$-8-5d=12-9d$

a)

d = 5

b)

d = 1

c)

d = -2

d)

d = -1

22.

Solve:

$8-3g+12=2g$

a)

g = 4

b)

g = 1

c)

g = 3

d)

g = 5

23.

Solve:

$10j+9=4j-9$

a)

j = 0

b)

j = 3

c)

j = -3

d)

j = -18

24.

Solve:

$8k-8=-4k+16$

a)

k = 8

b)

k = 16

c)

k = 24

d)

k = 2

25.

Solve:

$22+2e=37+6+e$

a)

e = 21

b)

e = 5

c)

e = -5

d)

e = -16

26.

Solve:

$12+6t-7t=3t-2t$

a)

t = 6

b)

t = -16

c)

t = -5

d)

t = 4

27.

30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

28.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

29.

7x = 4x + 33

a)

x = 3

b)

x = 11

c)

x = 21

d)

x = 88

30.

8w - 8 = -4w + 16

a)

w = 8

b)

w = 16

c)

w = 24

d)

w = 2

31.

Solve:
30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

32.

What is the final answer to

10 + 2n = 8n - 2n + 10 ?

a)

12

b)

5

c)

0

d)

-15

33.

24 = 2a - 6

a)

a=-15

b)

a=15

c)

a= 9

d)

a= -9

34.

50 = 28.1 + 0.15a

a)

a= 150

b)

a= 146

c)

a= 6

d)

a= 155

35.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

36.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

37.

-5k + 10 = -2k - 14

a)

k = 8

b)

k = -8

c)

k = 2

d)

k = -2

38.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

39.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

40.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

41.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

42.

7w + 5 = 3w - 15

a)

w = 5

b)

w = -2

c)

w = 2

d)

w = -5

43.

30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

44.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

45.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

46.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

47.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

48.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

49.

Simplify the Expression:

3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

50.

Simplify the Expression:

3m - 15 + 2m - 4

a)

5m - 19

b)

m + 19

c)

5m - 15

d)

24m

Equations with Variables on Both Sides

Total questions: 50

Worksheet time: 3hrs 30mins

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