Free Printable Adding and Subtracting Rational Expressions

1.

Find the least common denominator of the expression

a)

18

b)

6x

c)

3xy

d)

6xy

2.

Simplify the expression

a)

6x / 20xy

b)

3 / 10y

c)

(6x+1) / (20xy)

d)

3 / 20xy

3.

Simplify the expression

a)

n / 2m

b)

n / 3m

c)

(m²+ 4n²) / 12m

d)

n / 4m

4.

Simplify the expression

a)

(5x + 4y) / 9y

b)

(6y + 3x) / 3y

c)

(2y + x) / y

d)

(6y + 3x) / 9y

5.

Simplify the expression

a)

(-17x - 12y) / 15x

b)

(23x - 4y) / 15x

c)

(-17x - 4y) / 15x

d)

(-3x - 4y) / 8x

6.

Subtract

a)

A

b)

B

c)

C

d)

D

7.

Add

a)

A.

b)

B.

c)

C.

d)

D.

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

Subtract
$\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}$

a)

$\frac{-2x-10}{3x+4};\ x\ne-\frac{4}{3}$

b)

$\frac{-2x}{3c+4};\ x\ne-\frac{4}{3}$

c)

$-2x;\ x\ne0$

d)

$-2x-10;\ x\ne0$

11.

Add
$\frac{3x-2}{x+2}+\frac{2x}{4x-1}$

a)

$\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}$

b)

$\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ 1$

c)

$\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}$

d)

$\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-\frac{1}{4},\ 2$

12.

Subtract
$\frac{6}{x^2+4x-32}-\frac{x-5}{x-4}$

a)

$\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4$

b)

$\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8$

c)

$\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4$

d)

$\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8$

13.

Add
$\frac{7x}{x^2-5x}+\frac{x^2}{x-5}$

a)

$\frac{x^3+7x}{x\left(x-5\right)};\ x\ne5$

b)

$\frac{x^2+7}{x-5};\ x\ne0,\ 5$

c)

$\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne5$

d)

$\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne0,\ 5$

14.

a)

A

b)

B

c)

C

d)

D

15.

Find the least common denominator of the expression

a)

18

b)

6x

c)

3xy

d)

6xy

16.

Simplify the expression

a)

(-17x - 12y) / 15x

b)

(23x - 4y) / 15x

c)

(-17x - 4y) / 15x

d)

(-3x - 4y) / 8x

17.

What is the LCD.

a)

16b²

b)

4a²

c)

4b²

d)

4ab²

18.

When adding and subtracting rational expressions, my first step should be to:

a)

Combine like terms in the numerators.

b)

Determine a Least Common Denominator.

c)

Factor all of the numerators and all of the denominators.

d)

Change the operator to multiplication and reciprocate the second fraction.

19.

Find the LCD of the following rational numbers

5/4 and 2/3

a)

12

b)

5

c)

24

d)

7

20.

Bob has factored the denominators and made sure there is a common denominator. He must be...

a)

Adding or Subtracting Rational Expressions

b)

Multiplying Rational Expressions

c)

Dividing Rational Expressions

21.

Subtract the fractions

a)

a

b)

b

c)

c

d)

d

Adding and Subtracting Rational Expressions

Total questions: 21

Worksheet time: 5hrs 15mins

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