Free Printable Simplifying, Multiplying and Dividing Rational Expressions

1.

Simplify.

a)

$\frac{x+6}{x+4},\ x\ne5$

b)

$\frac{x+6}{x+4},\ x\ne-5$

c)

(x+6) $x+6,\ x\ne-4,\ 5$

d)

$\frac{x+6}{x-5},\ x\ne-4$

2.

Simplify

a)

$\frac{x-9}{x+9},\ x\ne-9$

b)

$\frac{1}{x-9},\ x\ne-9$

c)

$x+9,\ x\ne-9$

d)

$\frac{1}{x+9},\ x\ne9$

3.

a)

$1,\ x\ne-5,\ 8$

b)

$\frac{x-8}{x+5},\ x\ne-1,\ 5$

c)

$\frac{x-5}{x+5},\ x\ne-1,\ 8$

d)

$\frac{x+1}{x+5},\ x\ne-1,\ -8$

4.

Multiply and Simplify

a)

$\frac{a+5}{\left(a-5\right)\left(a+9\right)},\ a\ne5$

b)

$\frac{5}{a+9},\ a\ne5$

c)

$\frac{5a-25}{a+9},\ a\ne5$

d)

$\frac{1}{a+9},\ a\ne5$

5.

Multiply and Simplify

a)

$\frac{4\left(x+3\right)}{x+2},\ x\ne-1$

b)

$\frac{x+2}{4\left(x+1\right)},\ x\ne-3$

c)

$\frac{x+2}{4\left(x+3\right)},\ x\ne-3$

d)

$\frac{4\left(x+1\right)}{x+2},\ x\ne-3$

6.

Divide the Rational Expression

a)

$\frac{1}{6},\ x\ne-10,\ -8,\ 8$

b)

$\frac{x+10}{6x+60},\ x\ne-8,\ 8$

c)

$\frac{x+8}{6x+60},\ x\ne-8,\ 8$

d)

$\frac{x+8}{x-8},\ x\ne-10,\ -8$

7.

Simplify

a)

$\frac{x+6}{4x},\ x\ne-2,\ 6$

b)

$\frac{x+6}{2x},\ x\ne-2,\ 6$

c)

$\frac{x+6}{x},\ x\ne-2,\ 6$

d)

$2x\left(x+6\right),\ x\ne\ -2,\ 6$

8.

What are the restrictions on the variable?

a)

x ≠ 0, 1/7

b)

x ≠ 0

c)

x ≠ 0, 7

d)

x ≠ 7

9.

What are the restrictions on the variable?

a)

x ≠ 5, 8, -2

b)

x ≠ -5, 5, 8, -2

c)

No restrictions

d)

x ≠ -5, 5, -8, 2

10.

Simplify

$\frac{x+9}{x^2+18x+81}$

a)

$\frac{1}{x+9},\ x\ne9$

b)

$\frac{1}{x+9},\ x\ne-9$

c)

$\frac{x}{x+9},\ x\ne-9$

d)

$\frac{1}{x+9},\ x\ne0$

11.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

12.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

13.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

14.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

15.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

16.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

17.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

18.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

19.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

20.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

Simplifying, Multiplying and Dividing Rational Expressions

Total questions: 20

Worksheet time: 1hrs 28mins

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