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Worksheets

Variables on Both Sides

Total questions: 12

Worksheet time: 9mins

Name
Class
Date
1.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
2.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

3.

Solve: -2x + 18 = 2x + 40

a)

x = -5.5

b)

x = 6.5

c)

x = -4.5

d)

x = 5.5

4.

Solve: 4x - 3 = 6x - 19

a)

x = -8

b)

x = 11

c)

x = -11

d)

x = 8

5.

Solve: 12x + 1 = 6x - 47

a)

x = 6

b)

x = -7

c)

x = -8

d)

x = 9

6.

Solve: 3x + 16 = 7x + 64

a)

x = 10

b)

x = -10

c)

x = -11

d)

x = -12

7.

Solve: -3x + 20 = 2x - 40

a)

x = 15

b)

x = 12

c)

x = -15

d)

x = -12

8.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

9.

13y - 18 = -5y + 36

a)

y = 3

b)

y = -3

c)

y= 9

d)

y = -9

10.

7p - 5 = 6p + 8

a)

p = 13

b)

p = -13

c)

p = 1/13

d)

p = - 1/13

11.

11z - 5 = 9z + 7

a)

z= 6

b)

z = -6

c)

z = 1/6

d)

z =-1/6

12.

Which of the following are basic rules used for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation