Equivalent Equations Worksheet

This worksheet helps students practice identifying and solving equivalent equations.

Grade 9 Math AlgebraEquivalent Equations

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerMatching

Standards

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

Topics

algebraequivalent equationssolving equationsgrade 9

7 sections · Free to use · Printable

Equivalent Equations Practice

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Date:

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Read each question carefully and follow the instructions to solve for the unknown variable or identify equivalent equations.

1. Which of the following equations is equivalent to 3x + 5 = 11?

3x = 16

3x = 6

x + 5 = 11

3x - 5 = 11

2. Which operation performed on both sides of 2x - 7 = 1 will result in an equivalent equation?

Subtracting 2

Multiplying by 7

Adding 7

Dividing by 1

3. To isolate the variable in the equation x - 8 = 15, you would 8 to both sides.

4. The equation 4x = 20 is equivalent to x = .

5. The equations 2x + 1 = 7 and 2x = 6 are equivalent.

True

False

6. Multiplying both sides of an equation by zero always results in an equivalent equation.

True

False

7. Explain why x + 3 = 5 and x = 2 are considered equivalent equations.

8. Write an equation that is equivalent to 5x - 10 = 15 by dividing both sides by 5.

Match the equation on the left with its equivalent equation on the right.

A. x + 7 = 12

1. 2x = 10

B. 3x = 15

2. x = 5

C. x / 2 = 5

3. x = 10