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Equations with Variables on Both Sides

A Grade 9 math worksheet focusing on solving linear equations where variables appear on both sides of the equals sign.

Grade 9 Math AlgebraEquations with Variables on Both Sides
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.C.7.BCCSS.MATH.CONTENT.HSA.REI.B.3

Topics

algebraequationsvariablesgrade 9math
7 sections · Free to use · Printable
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Equations with Variables on Both Sides

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Date:

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Carefully read each problem and solve the equations. Show all your work for full credit.

1. Solve for x: 5x + 3 = 2x + 12

2. Solve for y: 7y - 8 = 3y + 16

3. To solve an equation with variables on both sides, first, you should   the variable terms to one side of the equation.

4. After combining variable terms, you then   the constant terms to the other side of the equation.

5. Which of the following is the correct first step to solve 4z + 10 = 9z - 5?

a

Add 5 to both sides

b

Subtract 10 from both sides

c

Subtract 4z from both sides

d

Divide by 4

6. The equation 3(x + 2) = 3x + 6 has no solution.

T

True

F

False

7. The perimeter of a rectangle is 48 cm. The length is 3x + 2 cm and the width is x + 4 cm. Write an equation and solve for x. Then find the actual dimensions of the rectangle.