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Worksheets

Isolating Variables on One Side

Total questions: 25

Worksheet time: 2hrs 55mins

Name
Class
Date
1.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
2.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
3.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
4.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
5.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
6.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
7.

What is the first step to solve this equation:

11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

8.

What is the first step to complete when solving this equation?

10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

9.

What is the first step in solving a multi-step equation?

a)

Distribution (If necessary)

b)

Combine Like Terms

c)

Move the variable

d)

Move the constant

10.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

11.

Solve

-124 = 4 (1+ 8k)

a)

-11

b)

10

c)

-4

d)

-2

12.

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

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

13.

What is the next step to solve this equation?
3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Add 3x to both sides of the equation

c)

Subtract 5 from both sides of the equation

d)

Subtract 7 from both sides of the equation

14.

What is the next step to solve this equation?
n - 4 = -2

a)

Add 4 to both sides of the equation

b)

Add n to both sides of the equation

c)

Subtract n from both sides of the equation

d)

Subtract 4 from both sides of the equation

15.

What is the next step to solve this equation?
5k + 6 = -9

a)

Add 9 to both sides of the equation

b)

Add 6 to both sides of the equation

c)

Subtract 6 from both sides of the equation

d)

Subtract 5k from both sides of the equation

16.

What is the next step to solve this equation?
-4x + 6 = 10

a)

Add 6 to both sides of the equation

b)

Add 10 to both sides of the equation

c)

Add 4x to both sides of the equation

d)

Subtract 6 from both sides of the equation

17.

0 = -7a - 8a

a)

0

b)

13

c)

-3

d)

9

18.

1 - 8x + 7 = 24

a)

-8

b)

12

c)

-3

d)

-2

19.

-91 = -6a + 5(1 +6a)

a)

-12

b)

0

c)

4

d)

-4

20.

112 = 4 - 4(1 +7x)

a)

11

b)

-4

c)

-7

d)

14

21.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
22.
What is the first step in solving the equation 2a - 4(a - 5) = 10
a)
Add 4 to both sides
b)
Add the 2a and a 
c)
Distribute 4 to a and -5
d)
Distribute -4 to a and -5
23.

8x - 6 = 2 (4x - 3)

a)

-3

b)

3

c)

infinite solutions

d)

no solutions

24.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
25.

Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

a)

96h + 15 = 8

b)

h/96 = 8

c)

8h + 15 = 96

d)

8h = 96