Simplifying Equations Worksheet

This worksheet provides practice on simplifying algebraic equations for 8th-grade students, covering combining like terms, distributive property, and solving multi-step equations.

Grade 8 Math AlgebraSimplifying Equations

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Includes

Fill in the BlanksShort AnswerMultiple ChoiceLong AnswerTrue / False

Standards

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

Topics

algebraequationssimplifyinggrade 8math

7 sections · Free to use · Printable

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Simplifying Equations

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Read each question carefully and simplify the equations as instructed. Show all your work.

Combine the like terms to simplify each expression.

1. 5x + 3y - 2x + 7y =

2. 10a - 4b - 6a + 2b =

3. 8c + 2d - c - 5d =

Use the distributive property to simplify the expressions.

4. 3(2x + 5) =

5. -4(y - 7) =

6. 2(3a - 4b + 1) =

7. Solve for x: x + 9 = 15

x = 6

x = 24

x = -6

x = 1.6

8. Solve for y: 4y = 28

y = 32

y = 7

y = 24

y = 0.14

Solve each multi-step equation. Show all your work.

9. 3x + 7 = 22

10. 5y - 8 = 17

11. 2(z + 4) = 14

12. 6m - 10 = 2m + 6

Determine if the following statements are true or false.

13. The solution to 2x + 5 = 11 is x = 3.

True

False

14. Distributing a negative number changes the sign of each term inside the parentheses.

True

False