Properties of Equality Worksheet

This worksheet covers the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, and division properties for Grade 12 mathematics.

Grade 12 Math AlgebraProperties of Equality

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

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

Topics

AlgebraEqualityPropertiesGrade 12

7 sections · Free to use · Printable

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Properties of Equality

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Read each question carefully and provide your answers using the properties of equality. Show all your work for full credit.

1. If a = b and b = c, then a = c. Which property of equality is this?

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

2. Which property states that if a = b, then a + c = b + c?

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality

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

4. According to the Property of Equality, any quantity is equal to itself.

5. If 3x = 12, then x = 4 by the Property of Equality.

6. Solve the equation 2x + 5 = 15. Justify each step with a property of equality.

7. Explain how the concept of a balance scale relates to the properties of equality.

8. The Substitution Property of Equality allows you to replace a quantity with an equal quantity in any expression.

True

False

9. If a = b, then a - c = c - b.

True

False

Match each property with its description.

10. Reflexive Property

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

11. Symmetric Property

b. If a = b, then a + c = b + c.

12. Transitive Property

c. a = a

13. Addition Property

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