Solving for a Variable Worksheet

Grade 8 algebra worksheet focused on solving linear equations with one variable, including multi-step problems and equations with variables on both sides.

Grade 8 Math AlgebraSolving for a Variable

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Includes

3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.8.EE.C.7CCSS.MATH.CONTENT.8.EE.C.7.ACCSS.MATH.CONTENT.8.EE.C.7.B

Topics

algebrasolving equationsvariablesgrade 8 math

7 sections · Free to use · Printable

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Solving for a Variable

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Read each question carefully and solve for the variable. Show all your work.

1. Solve for x: x + 7 = 15

2. Solve for y: y - 12 = 4

3. Solve for z: 3z = 21

4. Solve for a: a / 5 = 6

5. Solve for m: 2m + 5 = 17

6. Solve for n: 4n - 3 = 25

7. Solve for p: (p/3) + 2 = 8

8. Solve for k: 5k - 7 = 2k + 8

9. Solve for w: 3w + 10 = 7w - 6

10. Solve for x: 6(x - 2) = 3x + 9

11. Which value of x makes the equation 2x + 4 = 10 true?

x = 2

x = 3

x = 4

x = 7

12. If 9 - y = 16, what is the value of y?

y = -7

y = 7

y = 25

y = -25

13. To solve for a variable, you need to isolate it on one side of the .

14. The first step in solving the equation 3x + 5 = 14 is to 5 from both sides.

15. When you have variables on both sides of an equation, you should first move all variable terms to one side by using operations.