Properties of Equality Worksheet
Explore the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, and division properties with this Grade 6 math worksheet.
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Properties of Equality
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Read each question carefully and apply your knowledge of the Properties of Equality to solve them.
1. If a = b, then b = a. This statement demonstrates which property of equality?
Reflexive Property
Symmetric Property
Transitive Property
Addition Property
2. If x = y and y = z, then x = z. This is an example of the:
Reflexive Property
Symmetric Property
Transitive Property
Multiplication Property
3. The Property of Equality states that any quantity is equal to itself.
4. If you add the same number to both sides of an equation, the equation remains balanced. This is the Property of Equality.
5. When we divide both sides of an equation by the same non-zero number, we are using the Property of Equality.
6. Explain the Subtraction Property of Equality. Provide an example.
7. Look at the balance scale below. If you add 3 triangles to the left side, what must you do to the right side to keep the scale balanced? Which property of equality does this represent?
8. The statement '5 = 5' is an example of the Symmetric Property of Equality.
True
False
9. If a = 10, then 2a = 20 is an application of the Multiplication Property of Equality.
True
False
Match each equation with the Property of Equality it demonstrates.
10. If x = 7, then 7 = x
a. Addition Property of Equality
11. If 3 + y = 10, then y = 7
b. Symmetric Property of Equality
12. If 2a = 10, then a = 5
c. Division Property of Equality