Free Printable Pre-Algebra Chapter 10 Review B

1.

Which algebraic property is used to multiply monomials and polynomials?

a)

Inverse Property

b)

Distributive Property

c)

Associative Property

d)

Reciprocal Property

2.

Which of the following correctly explains the acronym F.O.I.L.?

a)

First

Inner

Outer

Last

b)

Fifth

Outer

Inner

Left

c)

First

Outside

Inside

Last

d)

First

Outer

Inner

Last

3.

F.O.I.L. is used to multiply which of the following types of polynomials?

a)

Monomials

b)

Binomials

c)

Trinomials

d)

General Polynomials

4.

Multiply the following: $8\left(r^2\ -\ r\right)$ .

a)

$8r\ -\ 8r^2$

b)

$8r^2\ -\ r$

c)

$8r^2\ -\ 8r$

d)

$r^2\ -\ 8r$

5.

Multiply the following: $3\left(12b^4\ +\ 9b^2\right)$ .

a)

$36b^4\ +\ 27b^2$

b)

$24b^4\ +\ 27b^2$

c)

$36b^2\ +\ 27b^2$

d)

$36b^4\ -\ 27b^2$

6.

Multiply the following: $\left(-7\right)\left(2s\ -\ 3t\right)$ .

a)

$14s\ +\ 21t$

b)

$-14s\ -\ 21t$

c)

$-14t\ +\ 21s$

d)

$-14s\ +\ 21t$

7.

Multiply the following: $-5\left(12a^3\ +\ 8\right)$ .

a)

$60a^3\ -\ 40$

b)

$-60a^3\ -\ 40a$

c)

$-60a^3\ -\ 40$

d)

$60a^3\ +\ 40$

8.

Multiply the following: $-q\left(9r\ -\ 5\right)$ .

a)

$-9qr\ +\ 5q$

b)

$-9qr\ -\ 5q$

c)

$-9qr\ +\ 5qr$

d)

$9qr\ +\ 5q$

9.

Multiply the following: $2w\left(3w^2\ -\ w\ -\ 2\right)$ .

a)

$5w^2\ -\ 2w^2\ -\ 4w$

b)

$6w^2\ -\ 2w\ -\ 4$

c)

$6w^3\ +\ 2w^2\ +\ 4w$

d)

$6w^3\ -\ 2w^2\ -\ 4w$

10.

Multiply the following: $\left(2g\right)\left(d^3g\ -\ d^2g^3\right)$ .

a)

$2d^3g^2\ +\ 2d^2g^4$

b)

$2d^3g^2\ -\ 2d^2g^4$

c)

$2d^3g^2\ -\ 2d^2g^4$

d)

$2d^2g\ -\ 2dg^3$

11.

Multiply the following: $4tv\left(8t^2-5t\right)$ .

a)

$28t^3v\ -\ 20t^2v$

b)

$32t^3v-20t^2v$

c)

$32t^2v-20tv^2$

d)

$32t^3v+20t^2v$

12.

Multiply the following: $5cd\left(5c^2d^2+10cd^3+4\right)$ .

a)

$25c^3d^3+50c^2d^4+20cd$

b)

$25c^2d^2+50c^2d^3+20cd$

c)

$25c^3d^3+50c^2d^4+20$

d)

$25c^3d^3+50c^2d^2+20cd$

13.

Multiply the following: $\left(c+1\right)\left(c+3\right)$ .

a)

$c^2+4c-3$

b)

$c^2+2c+3$

c)

$c^2-4c+3$

d)

$c^2+4c+3$

14.

Multiply the following: $\left(x-4\right)\left(x+2\right)$ .

a)

$x^2-6x-8$

b)

$x^2+2x-8$

c)

$x^2-2x-8$

d)

$x^2-2x+8$

15.

Multiply the following: $\left(r-4\right)\left(r+7\right)$ .

a)

$r^2+3r-28$

b)

$r^2-3r-28$

c)

$r^2-3r+28$

d)

$r^2+3r+28$

16.

Multiply the following: $\left(2x-3\right)\left(x+3\right)$ .

a)

$x^2+3x-9$

b)

$2x^2+3x-9$

c)

$2x^2-3x+9$

d)

$2x^2-3x-9$

17.

Multiply the following: $\left(c-d\right)\left(c-d\right)$ .

a)

$c^2-2cd+d$

b)

$c^2+2cd-d^2$

c)

$c^2+2cd+d^2$

d)

$c^2-2cd+d^2$

18.

Multiply the following: $\left(x-4\right)\left(x+4\right)$ .

a)

$x^2+16$

b)

$x^2-16$

c)

$x^2+4x-16$

d)

$x^2-4x-16$

19.

Multiply the following: $\left(3x-1\right)\left(2x+1\right)$ .

a)

$6x^2+x-1$

b)

$6x^2-x+1$

c)

$6x^2-x-1$

d)

$5x^2+x-1$

20.

Divide the following: $\frac{-3w^2+w}{w}$ .

a)

$-3w$

b)

$-3w-1$

c)

$-3w+1$

d)

$3w+1$

21.

Divide the following: $\frac{5m^4-m^2}{-m^2}$ .

a)

$5m^2-1$

b)

$-5m^2$

c)

$-5m^2-1$

d)

$-5m^2+1$

22.

Divide the following: $\frac{-18y^2-81y+36}{9}$ .

a)

$2y^2-9y+4$

b)

$-2y^2-9y+4$

c)

$-2y+9y-4$

d)

$-2y^2-9y+5$

23.

Divide the following: $\frac{20q^2+15qr}{5q}$ .

a)

$4q+3$

b)

$4q^3+3qr$

c)

$4q^2+3r^2$

d)

$4q+3r$

24.

Divide the following: $\frac{16u^3-12u^2v}{4u^2}$ .

a)

$4u-3v$

b)

$4u^2-3v$

c)

$4u+3v$

d)

$4u^2-3uv$

25.

Divide the following: $\frac{36x^5-24x^4y^2+6x^2y}{6x}$ .

a)

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

b)

$6x^4-4x^2y^2+xy$

c)

$6x^4+4x^3y^2-xy$

d)

$6x^4-4x^3y2+xy$

26.

Divide the following: $\frac{14s^5+56s^3t+28s^2t}{14s^2}$ .

a)

$s^7+4s^5t+2s^3t$

b)

$s^3+4st+2t$

c)

$s^2+4st+2t$

d)

$s^3-4st+2t$

Pre-Algebra Chapter 10 Review B

Total questions: 26

Worksheet time: 41mins

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