Identifying Properties of Equality

Name the property:

If 6y=24, then 6y-3=24-3

• Multiplication Property

• Subtraction Property

• Distributive Property

• Substitution Property

Name the property:

If 7m = 35, then 7m + 4 = 35 + 4

• Addition Property

• Transitive Property

• Division Property

• Symmetric Property

Name the property:

If 2x=14, then x=7

• Addition Property

• Symmetric Property

• Division Property

• Reflexive Property

If 10 (3) = 30, does 10 (3) + 4 = 30 + 5? Why or why not?

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Multiplication Property of Equality

• Commutative Property of Addition

• Subtraction Property of Equality

What property of equality justifies the following statement? If y/4 = 5, then y = 20

• Multiplication Property of Equality

• Division Property of Equality

• Addition Property of Equality

• Subtraction Property of Equality

What property of equality justifies the following equation?

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Multiplication Property of Equality

• Distributive Property

Identify the property you would use to solve this equation:
4x = 72

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Identify the property you would use to solve this equation:
y – 7 = 28

• Additive Property of Equality

• Subtraction Property of Equality

• Multiplicative Property of Equality

• Division Property of Equality

Name the first property you will use to solve this equation:
3(x – 7) = 42

• Multiplication Property of Equality

• Commutative property

• Associative Property

• Distributive Property