Properties of Equalities

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 is shown: a + 0 = a

• Addition Property of Equality

• Identity Property of Addition

• Commutative Property of Addition

• None of the following

• Zero Property

• Associative Property

• Commutative Property

• Identity Property

• Zero Property

• Associative Property

• Commutative Property

• Identity Property

Which property says that if you divide each side of an equation by the same nonzero number, the two sides remain equal?

• Division Property of Equality

• Distributive Property

• Division Inverse Property

• Associative Property

What term belongs in the box so that Expression I is equivalent to Expression II? Enter your answer in the space provided.

Mathematical Equivalence

ON

What is the property that says that if one number equals another number, it does not matter which sign of the equal sign they are on? (For example: a=5 and 5=a)

• Symmetric

• Reflexive

• Identity

• Associative

What property says that if a first number is equal to a second number, and the second number is equal to the third number, then the first and third number are equal. (For example: a=b, b=c, then a=c)

• Transitive

• Associative

• Identity

• Symmetric

Match the correct reason for each statement.

a

b

c

d

Subtraction Property of Equality

Symmetric Property of Equality

Addition Property of Equality

Division Property of Equality

Simplify

Distributive Property

Move a property into each box of the reason column to justify each step.

f

b

h

d

Distributive Property

Reflexive Property of Equality

Associative Property

Subtraction Property of Equality

Addition Property of Equality

Commutative Property

Division Property of Equality

Multiplication Property of Equality