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.
Includes
Standards
Topics
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.
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