Three-Step Equations Worksheet

Solve three-step algebraic equations involving various operations for Grade 10 students.

Grade 10 Math AlgebraThree-step Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraEquationsGrade 10Math

7 sections · Free to use · Printable

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Three-Step Equations

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Solve each three-step equation. Show all your work clearly.

1. Solve for x: 3x + 7 - 2x = 15

2. Solve for y: 5(y - 2) + 3 = 18

3. Solve for z: (z / 4) - 6 + 2 = 10

4. To solve 2(x + 5) - 3 = 17, the first step is to distribute the , then combine like terms, and finally isolate the variable.

5. In the equation (y / 3) + 4 = 9, the first step to isolate 'y' would be to from both sides.

6. Which operation should be performed first to solve 4x - 8 + 2x = 22?

Add 8 to both sides

Subtract 2x from both sides

Combine 4x and 2x

Divide by 4

7. The perimeter of a rectangle is 30 cm. If the length is (2w + 1) cm and the width is w cm, write and solve a three-step equation to find the width.

8. To solve 6(x - 1) = 24, the first step is to add 1 to both sides.

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