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Properties of Equality Worksheet

Explore and apply the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, and division properties with algebraic expressions.

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Grade 11 Math AlgebraProperties of Equality
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatchingCustom

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSA.REI.A.1

Topics

AlgebraEqualityPropertiesHigh School Math
8 sections · Free to use · Printable
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Properties of Equality

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Read each question carefully and provide your answer. Show all your work for short answer questions.

1. If a = b and b = c, then a = c. This statement demonstrates which property of equality?

a

Reflexive Property

b

Symmetric Property

c

Transitive Property

d

Substitution Property

2. Which property allows us to say that if 5x + 2 = 12, then 5x = 10?

a

Addition Property of Equality

b

Subtraction Property of Equality

c

Multiplication Property of Equality

d

Division Property of Equality

3. The   Property of Equality states that if a = b, then a + c = b + c.

4. According to the   Property of Equality, if a = b, then b = a.

5. Any quantity is equal to itself, which is the definition of the   Property of Equality.

6. Solve the equation 3x - 7 = 11. Justify each step using the properties of equality.

7. The Division Property of Equality states that if a = b, then a/c = b/c for any real number c.

T

True

F

False

8. The Multiplication Property of Equality allows you to multiply both sides of an equation by zero.

T

True

F

False

Match each property with its algebraic representation.

9. Reflexive Property

 

a. If a = b, then ac = bc

10. Symmetric Property

 

b. a = a

11. Transitive Property

 

c. If a = b, then b = a

12. Multiplication Property

 

d. If a = b and b = c, then a = c

Consider the following image of a balance scale. If the left side has a weight 'x' and the right side has a weight of '5', what property of equality is demonstrated if we add '2' to both sides to maintain balance?

Triple Beam Balance

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