Commutative, Associative, and Distributive Properties

Commutative, Associative, and Distributive Properties

1.            Which number sentence shows the commutative property of addition?

A.     9 + 3 = 12

B.     11 + 7 = 7 + 11

C.     3 * 9= 27

D.     3 + (9 + 1) = (3 + 9) + 1

2.            Use the commutative property to identify which expression is equal to (2+5)*8

A.     (5 + 2) * 8

B.     8 * 2 + 5 * 8

C.     2 + (5 * 8)

D.     (2 + 5 * 8)

3.            Use the commutative property to identify which expression is equal to 2x * 5a * 7 = 5a * 2x * _

A.     5a

B.     2x

C.     7

D.     14

4.         Which number sentence shows the associative property of addition? Choose all that apply.

A.                 2(4 · 3x) = (2 · 4)(3x)

B.                 11z + 9p = 9p + 11z

C.                 7 + (8 + 6) = (7 + 8) + 6

D.                 (17 + 11) + 3 = 17 + (11 + 3)

 

5.        Use the associative property to identify which expression is equal to (21)(7)(3x).

A.     (21 * 7 * 3)x

B.     (7)(21)(3x)

C.     32(7 + 3x)

D.     (3x)(7)(21)

 

6.       What is missing for the following quantity to be true? (2y + 4b) + 5 = ___ + (4b + 5)

A.     4b

B.     2y

C.     5

D.     6b

 

7.    Use the distributive property to decide which of the following is equivalent to 2(3 + 5x)? Select all that apply.

A.     2(3) + 2(5x)

B.     6 + 10x

C.     2 + 8x

D.     -6x

 

8.   Which value of “a” would make the following statement true? -4(2x – a) = -8x + 16

A.     -16

B.     -4

C.     4

D.     16

 

9.     Which of the following is equivalent to 1/3 (6x – 12y)?

A.     2x – 4y

B.     2x + 4y

C.     2x – 12y

D.     6x – 12y

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