Math Properties & Simplify Expressions

Which property is being demonstrated? 

(−6 ⋅ −3) ⋅ 7 = (−3 ⋅ −6) ⋅ 7

• Commutative Property of Multiplication
• Associative Property of Multiplication
• Distributive Property
• Multiplicative Inverse Property

Which property is being used?

3 + (−16 + −2) = (3 + −16) + −2

• Additive Inverse Property
• Commutative Property of (+)
• Distributive Property
• Associative Prop. of (+)

This is an example of which property?

⅓ + ¼ = ¼ + ⅓

• Commutative Property of (x)
• Commutative Property of (+)
• Additive Inverse Property
• Distributive Property

Which of the following is an example of the Distributive Property?

• 7(5 + 1) = 7(5) + 7(1)
• 7 + (5 + 1) = (7 + 5) + 1
• 7(5 + 1) = 7(5) + 1
• 7(5 + 1) = 7 + 5 + 7 + 1

Name the property being used.

5 ⋅ 6 ⋅ 7 = 7 ⋅ 6 ⋅ 5

• Commutative Property of (x)
• Associative Property of (x)
• Multiplicative Inverse Prop.
• Distributive Property

Simplify the Expression:
x + x + x + 3 + 5

• 3x + 8 
• x + 3
• 2x + 5

Using the commutative property, what would be the equivalent expression for 
5 + 6 = ?

• 6 + 5
• 5 + 6
• 11

150 + 75 = 75 + 150

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Commutative Property of Multiplication

Which example DOES NOT show the commutative property?

•  6 x 2=2 x 6 
• 3 x 1=3 
• 4 x 5=5 x 4
• 3 x 1=3 x 1

Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2

• Yes, because of the associative property
• Yes, because of the commutative property
• Yes, because of the distributive property
• No, these two expressions are not equivalent