Identifying Properties of Arithmetic

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

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

What property is shown below?

2(½) = 1

• Identity Property of Multiplication

• Inverse Property of Multiplication

• Identity Property of Addition

• Identity Property of Addition

If you multiply a number and its multiplicative inverse, what do you get?

• 0

• 1

• Not enough information

• None of these

Which property of multiplication is shown below:
17 × 113 = 113 × 17

• Commutative Property

• Associative Property

• Identity Property

• Zero Property