Identifying Properties When Solving Equations

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

x - 5 = 12

• 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, Alisha is going to divide both sides by 4. What property allows her to do this?

4x = -12

• 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

What property is shown below?

2(½) = 1

• Identity Property of Multiplication

• Inverse Property of Multiplication

• Identity Property of Addition

• Identity Property of Addition

To solve the equation below, Kristen is going to distribute. What will the equation look like after she has distributed?

-3(2x - 5) = 11

• -6x - 15 = 11

• 6x + 15 = 11

• -6x + 15 = 11

• 6x - 15 = 11

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

-3x + 7 = -18

• Subtraction Property of Equality

• Addition Property of Equality

• Commutative Property of Addition

• Distributive Property

Identify the property used below.

17 + (34 + 2x) = 17 + (2x + 34)

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Commutative Property of Addition

Identify the property used below.

3x · 1 = 3x

• Identity Property of Multiplication

• Identity Properyt of Addition

• Inverse Property of Multiplication

• Inverse Property of Addition

Identify the property used below.

7x + 0 = 7x

• Identity Property of Addition

• Multiplicative Property of Zero

• Inverse Property of Addition

• Distributive Property