Grade 10 Multi-step Equations Worksheet

Practice solving multi-step linear equations with variables on both sides, distributive property, and combining like terms.

Grade 10 Math AlgebraOne-variable EquationsSolving EquationsMulti-step Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.CED.A.1

Topics

AlgebraEquationsMulti-stepGrade 10Math

7 sections · Free to use · Printable

Multi-step Equations Practice

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

1. Solve for x: 5x + 3(2x - 7) = 24

2. Solve for y: 4(y - 2) - 3y = 10 - 2y

3. The first step to solve the equation \( \frac{x}{3} + 5 = 12 \) is to both sides by 5.

4. To eliminate the denominator in \( \frac{2x - 1}{4} = 5 \), you should both sides by 4.

5. Which of the following is the correct first step to solve 2(x + 3) = 18?

Subtract 3 from both sides

Divide both sides by 2

Multiply both sides by 2

Add 3 to both sides

6. The sum of three consecutive even integers is 72. Find the integers.

7. The solution to 3(x - 4) = 2x + 1 is x = 13.

True

False