Properties of Equality

This worksheet covers the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, division, and substitution properties.

Grade 10 Math AlgebraProperties of Equality

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False2 Custom

Standards

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

Topics

AlgebraProperties of EqualityHigh 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 the best answer. Identify the property of equality applied in each statement or solve the given equations using the properties.

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

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

2. If x = 7, then 7 = x. This is an example of which property?

Reflexive Property

Symmetric Property

Transitive Property

Addition Property

3. The property that states a quantity is equal to itself (e.g., a = a) is called the Property of Equality.

4. If 5x = 20, then x = 4 by the Property of Equality.

5. If a + c = b + c, then a = b by the Property of Equality.

6. Explain the difference between the Addition Property of Equality and the Subtraction Property of Equality.

7. The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the equation remains true.

True

False

8. Solve the following equation step-by-step, stating the property of equality used in each step:

Equation: 3x - 7 = 14

Step 1:

Property:

Step 2:

Property:

Step 3:

Property:

9. The image below represents a balanced scale. If you add 2 units to the left side, what must you do to the right side to maintain balance? Identify the property of equality this demonstrates.