Free Printable Multiplying Using the Distributive Property

1.

Simplify using the distributive property.

-2(x^2–\ 8x+3x^3–\ 6)

a)

$x^2–\ 16x-6x^3+12$

b)

$2x^2–\ 16x+6x^3–\ 12$

c)

$-6x^3-2x^2+16x\ +12$

d)

$-6x^3-2x^2+16x\ -12$

2.

Simplify using the distributive property.

12+3(7x+2)

a)

$12\ +\ 21x\ +\ 6$

b)

$21x\ +\ 18$

c)

$105x\ +\ 30$

d)

$21x\ +\ 2$

3.

Simplify using the distributive property.

6(4y+3z)–11z

a)

$24y+18z\ -\ 11z$

b)

$-264yz\ -\ 33z^2$

c)

$24y\ -\ 8z$

d)

$24y\ +\ 7z$

4.

Simplify using the distributive property.

12\ –\ 7(3\ –\ 5r)+8r

a)

$43r\ -\ 9$

b)

$15\ -\ 17r$

c)

$26\ +\ 8r$

d)

$-27r\ -\ 9$

5.

Use the laws of exponents and the distributive property to simplify completely.

4x(2x+6)

a)

$6x^2+24x$

b)

$8x^2+24$

c)

$8x^2+24x$

d)

$6x^2+24$

6.

Use the laws of exponents and the distributive property to simplify completely.

-6a(3a^2\ –\ 7a\ –\ 11)

a)

$18a^3-42a^2-66a$

b)

$-18a^3+42a^2+66a$

c)

$-18a^2+42a+66$

d)

$18a^2-42a-66$

7.

Use the laws of exponents and the distributive property to simplify completely.

2m^2\left(5m^5-7m\ +\ 8\right)

a)

$10m^7-14m^3+16m^2$

b)

$7m^7-5m^3+10m^2$

c)

$7m^7-5m^3+8m^2$

d)

$10m^7-14m^2+16$

8.

Use the laws of exponents and the distributive property to simplify completely.

6x^3y\left(-x+7y-3xy\right)

a)

$-18x^4y-6x^4+42x^3y$

b)

$-18x^3y^2-6x^3y+42x^2y^2$

c)

$18x^4y^2+6x^4y-42x^3y^2$

d)

$-18x^4y^2-6x^4y+42x^3y^2$

9.

Use the laws of exponents and the distributive property to simplify completely.

3(x^3+4x^2)+2x(x\ –\ 7)

a)

$3x^4+12x^3+2x^2-14x$

b)

$3x^3+14x^2-14x$

c)

$3x^3+12x^2+2x-14$

d)

$3x^3+14x^2-14$

10.

Use the laws of exponents and the distributive property to simplify completely.

11y\left(y\ -3\right)\ +\ 13y

a)

$24y\ -3$

b)

$11y^2+13y\ -\ 3$

c)

$11y^2-20y$

d)

$11y^2-46y$

Multiplying Using the Distributive Property

Total questions: 10

Worksheet time: 5mins

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