Identifying Properties When Solving Equations

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

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?

• Multiplication Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property justifies the work from Step 3 to Step 4?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

To solve the equation below, Grishma will add 5 to both sides. What property allows her to do this?

• Addition Property of Equality

• Commutative Property of Addition

• Distributive Property

• Subtraction Property of Equality

Identify the property used below.

-2(x - 4) = -2x + 8

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property

To solve the equation below, Zachary is going to divide both sides by 4. What property allows him to do this?

• Multiplication Property of Equality

• Commutative Property

• Associative Property

• Division Property of Equality

What property is shown below?

-8 + 8 = 0

• Inverse Property of Addition

• Identity Property of Addition

• Inverse Property of Multiplication

• Identity Property of Multiplication

To solve the equation below, Azariah has to subtract 7 from both sides. What property allows her to do this?

• Subtraction Property of Equality

• Addition Property of Equality

• Commutative Property of Addition

• Distributive Property

Identify the property used below.

7x + 0 = 7x

• Identity Property of Addition

• Multiplicative Property of Zero

• Inverse Property of Addition

• Distributive Property