Grade 8 Multi-step Equations Worksheet

Practice solving multi-step equations involving integers, fractions, and decimals for 8th-grade math students.

Grade 8 Math AlgebraOne-variable EquationsSolving EquationsMulti-step Equations

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / FalseCustom

Standards

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

Topics

mathalgebraequationsmulti-stepgrade 8

8 sections · Free to use · Printable

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Multi-step Equations Practice

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Solve each multi-step equation. Show your work clearly for full credit. Remember to simplify both sides of the equation before isolating the variable.

1. Solve for x: 3x + 7 = 22

2. Solve for y: 5y - 12 = 3y + 4

3. Solve for z: 2(z + 5) - 3 = 17

4. Solve for a: (1/2)a + 3 = 7

5. Solve for b: 0.4b - 1.5 = 2.5

6. Solve for c: (2/3)c - 1 = (1/3)c + 5

7. Which value of x satisfies the equation: 4x - 8 = 2x + 10?

x = 1

x = 9

x = 18

x = 2

8. What is the solution to the equation: -2(m + 3) = 14?

m = -10

m = 10

m = -7

m = 7

9. To solve a multi-step equation, the first step is often to on each side of the equation.

10. When moving a term from one side of the equation to the other, you must use the operation.

11. The equation 3x + 5 = 3x - 2 has no solution.

True

False

12. Distributing a negative number requires changing the sign of each term inside the parentheses.

True

False

13. A number is multiplied by 5, and then 8 is subtracted from the product. The result is 17. What is the number?

Think of an equation like a balance scale. Whatever you do to one side, you must do to the other to keep it balanced.