Distributive, Associative, and Commutative

Tell which property the statement illustrates.
(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)

• Distributive Property

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

Tell which property the statement illustrates.
10(a − 9) = (10 × a) − (10 × 9)

• Commutative Property of Subtraction

• Multiplication Property of Subtraction

• Distributive Property

• Associative Property of Subtraction

150 + 75 = 75 + 150

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Commutative Property of Multiplication

Which equation shows the Commutative Property of Multiplication ?

• 7 x 3 = 7 + 7 + 7

• 8 x 1 = 8

• 3x6 - 4x6 = (3-4)x6

• 5 x 2 = 2 x 5

The

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

• Distributive

• Commutative

• Associative

Each equation demonstrates a property of operations. Drag the tiles to the problem that demonstrates the property.

• Associative Property

• 2(3x - 9)  = 6x - 18

• Distributive Property

• 3(x + 1) = 3x + 3

• Distributive Property

• 5x + 2 + x = 5x + x + 2

• Associative Property

• (3x + 9) + 3 = 3x + (9 + 3)

• Commutative Property

• 4x + (x + 7x) = (4x + x) + 7x

Match the correct properties to its examples:

• 4 + 5 = 5 + 4

• Commutative Property

• Associative Property

• 4 + (5 + 6) = (4 + 5) + 6

• Distributive Property

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

• Distributive

• Commutative

• Associative

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x