Distributive, Associative, Commutative Property

Generate an equivalent expression for the one shown below, using the distributive property.

• 8y - 8x

• 8xy

• 8(y) + 8(x)

• (y-x)8

Which property states that you can change the grouping when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

Which property states that you can change the order of the numbers when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

Determine which equation shows associative property.

• (a + b) + c = a + (b+ c)

• abc = cab

• a(b+c) = ab + ac

• (a+b) + c = (b+a) + c

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

7(x + 4)

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative