Free Printable Properties and the Distributive Property

1.

State the property.

ab=ba

a)

Commutative

b)

Associative

c)

Distributive

d)

Democratic

2.

State the property.

8+3+4=3+4+8

a)

Commutative

b)

Associative

c)

Distributive

d)

Republican

3.

State the Property.

\left(8+4\right)+3=8+\left(4+3\right)

a)

Commutative

b)

Associative

c)

Distributive

d)

Democratic

4.

State the Property.

a\left(b+c\right)=ab+bc

a)

Commutative

b)

Associative

c)

Distributive

d)

Republican

5.

State the property.

-5\left(x+8\right)=-5x-40\

a)

Commutative

b)

Associative

c)

Distributive

d)

Democratic

6.

State the property.

12\left(7\right)\left(4\right)=7\left(4\right)\left(12\right)

a)

Commutative

b)

Associative

c)

Distributive

d)

Republican

7.

State the property.

-2\left(a+b+c\right)=-2a-2b-2c

a)

Commutative

b)

Associative

c)

Distributive

d)

Democratic

8.

State the property.

6+\left(5+4\right)=\left(6+5\right)+4

a)

Commutative

b)

Associative

c)

Distributive

d)

Republican

9.

Simplify using the distributive property.

3\left(x+10\right)

a)

$3x+10$

b)

$3x+13$

c)

$3x-10$

d)

$3x+30$

10.

Simplify using the distributive property.

3\left(x-10\right)

a)

$3x-10$

b)

$-3x-30$

c)

$3x-7$

d)

$3x-30$

11.

Simplify using the distributive property.

-3\left(-3x-10\right)

a)

$9x-30$

b)

$-9x-30$

c)

$9x+30$

d)

$-9x+30$

12.

Simplify using the distributive property.

-2\left(12x+12\right)

a)

$10x-10$

b)

$24x-24$

c)

$-24x-24$

d)

$-24x+24$

13.

Use the distributive property to simplify.

2\left(x+y+z\right)

a)

$2x+2y+2z$

b)

$2x+y+z$

c)

$2xyz$

d)

$-2x-2y-2z$

14.

Use the distributive property to simplify.

-10\left(10x+10\right)

a)

$-10x-100$

b)

$-100x-100$

c)

$10x+100$

d)

$-100x+100$

15.

State the property.

6+10=10+6

a)

Commutative

b)

Associative

c)

Disrtibutive

d)

Identity

16.

State the property.

2\left(4\right)\left(6\right)=4\left(6\right)\left(2\right)

a)

Commutative

b)

Associative

c)

Distributive

d)

Zero Product

17.

Use the distributive property to simplify.

-5\left(2y-10\right)

a)

$-5y+50$

b)

$-5y-50$

c)

$-10y+50$

d)

$-10y-50$

Properties and the Distributive Property

Total questions: 17

Worksheet time: 34mins

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