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Worksheets

Solving Equations Variable on Both Sides

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

2.

-49 - x = -8x + 70

a)

15

b)

17

c)

14

d)

19

3.

7x - 11 = 5x + 25

a)

18

b)

17

c)

16

d)

15

4.

-x - 29 = 15 - 3x

a)

15

b)

18

c)

20

d)

22

5.
6.
7.
a)

6

b)

-6

c)

-1

d)

3

8.
9.

Solve the equation for the variable

(a)  

10.

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

Choose from the below words

8x+20=6x+248x+20=6x+24  

2

36

6x+20=8x+246x+20=8x+24

5

42

11.

3x + 10 + 2x = 2 (x + 8)

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

12.
a)

1/2

b)

4

c)

3

d)

1

13.

Solve the equation for the variable

(a)  

14.
15.

Is the solution below correct?
-6z + 13 = 7z
+6z           +6z
13 = 13z
z = 1

a)

Yes

b)

No

16.

Solve the equation for the variable

a)

4

b)

-10

c)

1

d)

-1

17.
Question Image

Describe what was done in each solving step!

a)

Step 1

1.

Distribute

b)

Step 2

2.

Combine Like Terms

c)

Step 3

3.

Subtract 4x from both sides

18.

4a - 2 = 3a - 7

a)

a = -9

b)

a = -2

c)

a = 7

d)

a = -5

19.

Solve the equation for the variable

a)

no solution

b)

0

c)

6x

d)

6

20.

Solve the equation for the variable

(a)