Free Printable Simplifying Rational Expressions

1.

Simplify.

a)

A

b)

B

c)

C

d)

D

2.

Simplify.

a)

A

b)

B

c)

C

d)

D

3.

Simplify.

a)

A

b)

B

c)

C

d)

D

4.

Simplify.

a)

A

b)

B

c)

C

d)

D

5.

Simplify.

a)

A

b)

B

c)

C

d)

D

6.

Multiply

a)

A.

b)

B.

c)

C.

d)

D.

7.

Simplify.

a)

A

b)

B

c)

C

d)

D

8.

SIMPLIFY

a)

A

b)

B

c)

C

d)

D

9.

Simplify.

a)

A

b)

B

c)

C

d)

D

10.

Divide:

a)

(x+3)/(x+4)

b)

(x-3)/(x+4)

c)

(x+4)/(x-3)

d)

1

11.

Simplify.

a)

A

b)

B

c)

C

d)

D

12.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

13.

a)

A.

b)

B.

c)

C.

d)

D.

14.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

15.

Divide 8x² -4x + 12 by 2x

a)

4x+2

b)

4x-2+6/x

c)

4x-2

d)

4x-2+1/(6x)

16.

a)

All Reals Except 0

b)

All Reals

c)

All Reals Except -3

d)

All Reals Except 0 and -3

17.

Find the excluded values

a)

x≠ ±3

b)

x≠3

c)

x≠-3

d)

x≠ 1/3

18.

Find the Excluded Value of (x+6)/(x²+5x-6)

a)

x = 1

b)

x = -6

c)

x = 1, -6

d)

x = -1, 6

19.

a)

b)

c)

d)

20.

a)

b)

c)

d)

21.

a)

b)

c)

d)

22.

Simplify the expression

a)

(19k² -12k - 12) / 4k(5k-4)

b)

(19k² - 24k) / 4k(5k-4)

c)

(19k) / 4(5k-4)

d)

(19k - 24) / 4(5k-4)

23.

Simplify the expression

a)

(12n² + 28n + 4) / (2n-5)(n+2)

b)

(12n² - 28n + 4) / (2n-5)(n+2)

c)

(8n) / (3n + 3)

d)

(12n² + 2n -3) / (2n-5)(n+2)

24.

Try on your own: Add the following expressions. Simplify Completely

a)

$\frac{x-3}{5\left(x-8\right)}$

b)

$\frac{3x-3}{x^2-2x-20}$

c)

$\frac{x^2+2x-15}{5\left(x+5\right)\left(x-8\right)}$

d)

Can't add these

25.

Try on your own: Subtract the following expressions. Simplify completely.

a)

$\frac{x^2+4x-12}{\left(x-2\right)\left(x+2\right)\left(x+10\right)}$

b)

$\frac{x+6}{\left(x+2\right)\left(x+10\right)}$

c)

$\frac{x-6}{8x-24}$

d)

Can't subtract these

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

Solve using long division.

a)

4x - 2

b)

4x + 2

c)

4x - 2 + (1/3x - 1)

d)

4x + 2 + (1/3x - 1)

30.

What should you add to this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

a)

0x⁴

b)

0x³

c)

0x²

d)

0x

31.

a)

2x² + 3x + 8 + -57/x-4

b)

2x² - 13x - 56

c)

2x² + 3x + 8 +7/x-4

d)

2x² - 3x - 16 + -89/x-4

32.

What is the remainder when a³ - 4 is divided by a+2?

a)

-2

b)

-6

c)

-12

d)

0

Simplifying Rational Expressions

Total questions: 32

Worksheet time: 3hrs 24mins

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