1

Simplify the following expression using the distributive property:

3(2x + 5) − 4(3x − 1)

A) - 6x + 19

B) - 6x + 18

C) - 6x + 20

D) - 6x + 21

2

Choose the correct option by using the distributive property of multiplication over addition for the following expression: 26(14 + 6).

A) 26( 14 ) - 26 ( 6 )

B) 26( 14 ) + 26 ( 6 )

C) 26( 8 )

D) 502

3

Simplify the following expression using the distributive property:

\$ (x + y)(x^2 − xy + y^2) + x^3 \$

A) \$ 2x^3 + 4y^3 \$

B) \$ 2x^3 + 5y^3 \$

C) \$ 2x^3 + y^3 \$

D) \$ 2x^3 + 4y^3 \$

4

Simplify the following expression using the distributive property and combine like terms:

2(4a - 3b − 7) − 3(2a + 5b + 1)

A) 2a − 11b − 14

B) 2a − 21b − 15

C) 2a − 11b − 16

D) 2a − 21b − 17

5

Simplify the following expression using the distributive property:

\$(x^2 + y)(2x − 3y^2) + xz + 2y\$

A) 2x^3 - 5x^2y2 + 2xy - 3y^3 + xz + 2y

B) 4x^3 - 3x^2y2 + 2xy - 8y^3 + xz + 12y

C) 4x^3 - 3x^2y2 + 2xy - 3y^3 + xz + 2y

D) 2x^3 - 3x^2y2 + 2xy - 3y^3 + xz + 2y

6

Choose the correct option by using the distributive property of multiplication over subtraction for the following expression: 17(9 - 3).

A) 17( 9 ) + 17( 3 )

B) 17( 12 )

C) 17( 9 ) - 17( 3 )

D) 120

7

Simplify the following expression using the distributive property:

\$5a(2b − 3c) + 2(4a − b^2)\$

A) \$ 10ab + 6a - 15ac - 2b^2 \$

B) \$ 10ab + 8a - 15ac - 2b^2 \$

C) \$ 10ab + 8a - 11ac - 2b^2 \$

D) \$ 10ab + 8a - 15ac - 4b^2 \$

8

Solve the expression -6( 37 - 22) by using the distributive property.

A) -90

B) -100

C) -67

D) -56

9

Simplify the following expression using the distributive property:

4(2(e − 5) + 7) − 6(e + 8)

A) 2e - 37

B) 2e - 60

C) 3e - 55

D) 3e - 88

10

Solve the expression 5(35 + 23) by using the distributive property.

A) 267

B) 234

C) 290

D) 288