Properties of Equalities

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         

• Symmetric Property

• Reflexive Property

• Substitution Property

What is reason 2?

• Given

• Addition Property of Equality

• Subtraction Property of Equality

• Substitution Property of Equality

What is reason 3?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

What is reason 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

What is reason 5?

• Transitive Property

• Reflexive Property

• Symmetric Property

• Prove

Identify the property of equality.
If 9=x, then x=9

• Reflexive

• Symmetric

• Transitive

• Substitution

Identify the property used here:
39=39

• Reflexive

• Symmetric

• Transitive

• Substitution

Which property is shown: if a = b, then a - c = b - c

• Subtraction Definition

• Subtraction Property of Equality

• Distributive Property

• None of the following

Which property of real numbers was used to get from Step 3 to Step 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality