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Hanger Diagrams: Balance Equations

Explore algebraic thinking using hanger diagrams to represent and solve equations. Learn to maintain balance by performing inverse operations.

Grade 5 Math AlgebraHanger Diagrams
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.5.OA.B.3CCSS.MATH.CONTENT.5.OA.A.2

Topics

mathalgebrahanger diagramsequationsgrade 5
7 sections · Free to use · Printable
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Hanger Diagrams: Balance Equations

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Hanger diagrams help us visualize and solve equations. Each side of the hanger must remain balanced. If you remove or add something to one side, you must do the same to the other side to keep it balanced. Find the value of the unknown variable (represented by 'x' or a shape) in each diagram.

1. Write the equation represented by the hanger diagram below:

x353

2. For the hanger diagram below, what is the value of 'x'?

x228

x =  

3. Which equation correctly represents the hanger diagram?

x5231
a

x + 5 = 2 + 3

b

x + 5 = 2 + 3 + 1

c

x + 5 = 2 * 3 * 1

d

x - 5 = 2 + 3 + 1

4. If you add 3 to one side of a balanced hanger diagram, you must add 3 to the other side to keep it balanced.

T

True

F

False

5. Draw a hanger diagram to represent the equation: x + 4 = 7

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