Free Printable Simplifying Rational Expressions

1.

$Simplify:\ \ \frac{x^8y^{12}}{x^4y^{15}}$

a)

$\frac{x^4}{y^3}$

b)

$\frac{x^{12}}{y^3}$

c)

$x^{12}y^{27}$

d)

$\frac{y^3}{x^4}$

2.

$Simplify:\ \frac{5a^3c^{10}}{20a^5c^4}$

a)

$\frac{4c^6}{a^2}$

b)

$\frac{1a^2c^6}{4}$

c)

$\frac{1c^6}{4a^2}$

d)

$\frac{1a^2}{4c^6}$

3.

$Simplify:\ \ \frac{8w^3y^{11}}{\left(4w^3y^5\right)^2}$

a)

$\frac{2y}{w^3}$

b)

$\frac{1y}{2w^3}$

c)

$\frac{y^4}{w^2}$

d)

$\frac{1y^{21}}{2w^9}$

4.

$Simplify:\ \ \frac{x^{-4}y^7}{x^2y^{-3}}$

a)

$\frac{y^{10}}{x^6}$

b)

$\frac{x^6}{y^{10}}$

c)

$\frac{y^4}{x^2}$

d)

$\frac{x^2}{y^4}$

5.

$Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$

a)

$\frac{x-1}{x+7}$

b)

$\frac{x+1}{x+7}$

c)

$\frac{x-1}{x-7}$

d)

$\frac{x+1}{x-7}$

6.

$Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}$

a)

$\frac{x}{x+3}$

b)

$\frac{x}{x-3}$

c)

$\frac{x+6}{x-3}$

d)

$\frac{x}{x+6}$

7.

$Simplify:\ \ \frac{x^2+7x+10}{x^2-4}$

a)

$\frac{x-5}{x+2}$

b)

$\frac{x-5}{x-2}$

c)

$\frac{x+5}{x+2}$

d)

$\frac{x+5}{x-2}$

8.

(-x-5)/(x²+12x+35)

a)

A. 1/(x+7)

b)

B. 1/(x-7)

c)

C. -1/(x+7)

d)

D. -1/(x+6)

9.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

10.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

11.

(4 - x²) / (x² - x - 2)

a)

4 / (-x - 2)

b)

-2 / (-X - 1)

c)

-1(x + 2) / (x + 1)

12.

What is the excluded value:
7 / (x - 3)

a)

7

b)

There is not one.

c)

3

13.

Which value of x makes the expression undefined?

a)

-2

b)

2

c)

-6

d)

-3

14.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

15.

SIMPLIFY

a)

A

b)

B

c)

C

d)

D

16.

State domain restriction

a)

x≠-6

b)

x≠-6, 3

c)

x≠3

d)

x≠-18

Simplifying Rational Expressions

Total questions: 16

Worksheet time: 40mins

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