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Equations with variables on both sides

Total questions: 10

Worksheet time: 42mins

Name
Class
Date
1.
Solve:
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
2.
Solve:
8w - 8 = -4w + 16
a)
8
b)
16
c)
24
d)
2
3.
Solve:
7w + 5 = 3w - 15
a)
5
b)
-2
c)
2
d)
-5
4.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
5.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
6.

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

7.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

8.

4( x + 2) = 16


What is the solution to the equation?

a)

-2

b)

0

c)

1

d)

2

9.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

10.

What is the solution to this equation?

2x + 3 = x − 4

a)

-3

b)

0

c)

-7

d)

7