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Hanger Diagrams Worksheet

Explore algebraic equations using hanger diagrams, balancing concepts to solve for unknown variables.

Grade 8 Math AlgebraHanger Diagrams
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.EE.C.7

Topics

AlgebraHanger DiagramsEquationsGrade 8
7 sections · Free to use · Printable
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Hanger Diagrams: Balancing Equations

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This worksheet will help you understand and solve algebraic equations using hanger diagrams. Remember that a hanger diagram represents a balanced equation, where both sides have equal weight. Use the diagrams to visualize the process of isolating the unknown variable.

1. Look at the hanger diagram below. Each circle represents a unit of 1, and each square represents an unknown value 'x'. Write the equation represented by this hanger diagram.

2. If a hanger diagram shows 'x + 3 = 7', to solve for 'x', you would   from both sides of the hanger. This is equivalent to using the   property of equality.

3. Which operation would you perform first to solve the equation 2x + 4 = 10 using a hanger diagram?

a

Add 4 to both sides

b

Subtract 4 from both sides

c

Divide both sides by 2

d

Multiply both sides by 2

4. Adding the same amount to both sides of a hanger diagram will keep it balanced.

T

True

F

False

5. Draw a hanger diagram to represent the equation 3x + 2 = x + 6. Then, explain the steps you would take to solve for 'x' using the diagram.

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