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8th Grade Equations variables on both sides practice

Total questions: 40

Worksheet time: 32mins

Name
Class
Date
1.
Solve:
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
2.

What is the first step you should take to solve this problem?


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

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

d)

add 1 to both sides

3.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

4.

13y - 18 = -5y + 36

a)

y = 3

b)

y = -3

c)

y= 9

d)

y = -9

5.

3y + 16 = 5y

a)

y = 8

b)

y = -8

c)

y = 1/8

d)

y = -1/8

6.

9m + 14 = 2m

a)

m = -2

b)

m = 2

c)

m = 1/2

d)

m = -1/2

7.

7p - 5 = 6p + 8

a)

p = 13

b)

p = -13

c)

p = 1/13

d)

p = - 1/13

8.

11z - 5 = 9z + 7

a)

z= 6

b)

z = -6

c)

z = 1/6

d)

z =-1/6

9.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

10.

9x - 4x - 5 = 10

a)

3

b)

-3

c)

1

d)

3.5

11.

What is the first step you should take to solve this problem?


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

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

12.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

13.

Solve the equation

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

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

14.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

15.

13y - 18 = -5y + 36

a)

y = 3

b)

y = -3

c)

y= 9

d)

y = -9

16.

3y + 16 = 5y

a)

y = 8

b)

y = -8

c)

y = 1/8

d)

y = -1/8

17.

9m + 14 = 2m

a)

m = -2

b)

m = 2

c)

m = 1/2

d)

m = -1/2

18.

13x = 32 + 5x

a)

x = 4

b)

x = -4

c)

x = 1/4

d)

x = -1/4

19.

8d - 25 = 3d

a)

d = 5

b)

d= -5

c)

d = 1/5

d)

d = -1/5

20.

t - 27 = 4t

a)

t = -9

b)

t = 9

c)

t = 1/9

d)

t = -1/9

21.

7p - 5 = 6p + 8

a)

p = 13

b)

p = -13

c)

p = 1/13

d)

p = - 1/13

22.

11z - 5 = 9z + 7

a)

z= 6

b)

z = -6

c)

z = 1/6

d)

z =-1/6

23.

12 - 5k = k + 6

a)

k = 1

b)

k -1

c)

k= 1/2

d)

k = -1/2

24.

4 - 7f = f - 12

a)

f = 2

b)

f = -2

c)

f= 1/2

d)

f = -1/2

25.

-6y + 17 = 3y - 10

a)

y = 3

b)

y = -3

c)

y = 1/3

d)

y = -1/3

26.

3x - 32 = -7x + 28

a)

x = 6

b)

x = -6

c)

x = 1/6

d)

x = -1/6

27.

3x - 32 = -7x + 28

a)

x = 6

b)

x = -6

c)

x = 1/6

d)

x = -1/6

28.

16.8 - v = 6v

a)

v = 2.4

b)

v = -2.4

c)

v= 2

d)

v = 4

29.

3r + 7 = 10r + 28

a)

-3

b)

3

c)

5

d)

-5

30.

7n + 2 = 4n + 17

(a)  

31.

8v + 1 = 7v -20

a)

20

b)

1

c)

-21

d)

-12

32.

9m = 4m - 35

(a)  

33.

7 - 6u = 5u + 29

a)

3

b)

10

c)

-2

d)

4

34.

n + 30 = 12n - 14

a)

6

b)

-1

c)

8

d)

4

35.

-2k + 19 = 3k - 1

(a)  

36.

10 - d = -34 - 5d

a)

12

b)

-11

c)

2

d)

-2

37.

3x - 8 = -4x + 13

(a)  

38.

7x - 4 = 2x + 6

a)

2

b)

6

c)

-3

d)

1

39.

7x + 10 = 3x + 50

a)

9

b)

11

c)

10

d)

3

40.

2x + 46 = -3x -54

(a)