Home / Worksheets / Grade 8 / Math / Isolating Variables Worksheet

Isolating Variables Worksheet

This worksheet helps grade 8 students practice isolating variables in algebraic equations through various question types.

Grade 8 Math AlgebraIsolating Variables
Use This Worksheet

Includes

Fill in the BlanksShort AnswerMultiple ChoiceTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.EE.B.6

Topics

algebravariablesequationsgrade 8
7 sections · Free to use · Printable
← More Math worksheets for Grade 8

Isolating Variables

Name:

Date:

Score:

Read each question carefully and follow the instructions to isolate the variable. Show all your work for full credit.

1. To isolate a variable, you must perform the   operation to both sides of the equation.

2. When solving for 'x' in the equation 3x + 5 = 11, the first step is to   5 from both sides.

3. The goal of isolating a variable is to get the variable by itself on one   of the equation.

4. Solve for x: 5x - 7 = 18

5. Solve for y: (y/3) + 4 = 9

6. Which operation would you perform first to solve for 'z' in the equation 4z + 10 = 26?

a

Add 10 to both sides

b

Subtract 10 from both sides

c

Multiply both sides by 4

d

Divide both sides by 4

7. What is the value of 'a' in the equation 2(a - 3) = 14?

a

7

b

10

c

13

d

5

8. To isolate 'x' in x/5 = 10, you should multiply both sides by 5.

T

True

F

False

9. In the equation 2x + 3 = 2x + 5, 'x' can be isolated to find a unique solution.

T

True

F

False

10. Sarah bought 3 notebooks and a pen. The pen cost $2. If she spent a total of $17, write an equation and solve it to find the cost of one notebook.