Properties of Equality
This worksheet covers the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, division, and substitution properties.
Includes
Standards
Topics
Properties of Equality
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Date:
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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.
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