Properties of Equality Worksheet
Explore and apply the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, and division properties.
Includes
Standards
Topics
Properties of Equality
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. If a = b and b = c, then a = c. This statement demonstrates which property of equality?
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
2. Which property of equality allows you to rewrite 5 = x as x = 5?
Reflexive Property
Symmetric Property
Transitive Property
Addition Property
3. The property that states a = a is called the Property of Equality.
4. If x + 3 = 7, then subtracting 3 from both sides to get x = 4 is an application of the Property of Equality.
5. Explain in your own words the difference between the Addition Property of Equality and the Subtraction Property of Equality.
6. If 2x = 10, then dividing both sides by 2 to get x = 5 is an example of the Multiplication Property of Equality.
True
False
7. The Substitution Property of Equality states that if a = b, then a can replace b in any equation or expression.
True
False
Match each example with the correct Property of Equality.
8. If x = y, then y = x.
a. Addition Property
9. If 3x = 12, then x = 4.
b. Division Property
10. If x = 5 and y = x + 2, then y = 5 + 2.
c. Symmetric Property
11. If a = b, then a + c = b + c.
d. Substitution Property
Consider the image of the balance scale below. If the scale is perfectly balanced, what property of equality does this represent?
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