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Balancing Equations Worksheet

Grade 8 math worksheet focusing on understanding and solving equations by maintaining balance.

Grade 8 Math AlgebraBalance in Equations
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.C.7CCSS.MATH.CONTENT.8.EE.C.7.A

Topics

mathalgebraequationsbalancegrade 8
8 sections · Free to use · Printable
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Balancing Equations

Name:

Date:

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Read each question carefully and follow the instructions to solve the equations. Remember to keep both sides of the equation balanced.

1. Consider the image of the balance scale below. If the left side has 'x + 5' and the right side has '12', what operation would you perform to isolate 'x' while keeping the scale balanced?

Triple Beam Balance Scale

2. To solve the equation 3x = 18, you would   both sides by 3.

3. If you add a value to one side of an equation, you must   the same value to the other side to maintain balance.

4. Which operation would you use to solve for 'y' in the equation y - 7 = 15?

a

Subtract 7 from both sides

b

Add 7 to both sides

c

Multiply both sides by 7

d

Divide both sides by 7

5. Solve the equation: 4x + 3 = 23. Show your steps.

6. When solving an equation, you should always perform the same operation on both sides of the equals sign.

T

True

F

False

7. Sarah bought 3 notebooks and a pen. The pen cost $2, and her total bill was $17. Write an equation to represent this situation and solve for the cost of one notebook.

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