Properties Expressions

How can 5 (3 + 9) be expressed using the distributive property?

• 5(3) + (5 + 9)

• 5(3) + 5(9)

• 5 + 9 = 9 + 5

• (5 + 3) x (5 + 9)

The commutative property of multiplication states that the order of the numbers in an expression...

• should go from least to greatest

• doesn't change the product

• should go from greatest to least

• is always important

What property allows the order of numbers to be changed in addition or multiplication problems?

• Commutative Property

• Associative Property

• Inverse Property

• Distributive Property

5(8 + 7) = (5 ^_x 8) + (5 ^_x 7)

• Multiplicative Inverse

• Distributive Property

• Additive Identity 

• Associative Property of Multiplication

Simplify the expression:

-3r + 7 - 3r - 12

• -6r + 19

• 6r - 5

• -6r - 5

• -11r

Simplify by combining like terms:

12y - 8 + 4y + y

• 17y - 8

• 16y-8

• 9y

• 8y+y

What property deals with GROUPING?

• Identity

• Distributive

• Commutative

• Associative

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

• (y + 2) + 4 = y + (2 + 4)

• 4 x 1/4 = 1

• 12a ⋅1 = 12a

• abc = cba

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

• 5p x 0 = 0

• (n + m) + p = n + (m + p)

• 4(2a + 7) = 8a + 28

• 6 + -6 = 0

Which of the following is an example of the Multiplicative Inverse property?

• 3a ⋅ 0 = 0

• a/3 ⋅ 3/a = 1

• 3(x² - 4) = 3x² - 12

• (2a + b) + c = 2a + (b + c)