Free Printable Simplifying Rationals

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Worksheets

Simplifying Rationals

Total questions: 22

Worksheet time: 1hrs 6mins

Name

Class

Date

1.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

2.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

3.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

4.

a)

(x + 9)

b)

(x - 3) / (x + 2)

c)

(x + 9) / (x + 2)

d)

(x - 3)

5.

Divide and Simplify

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

6.

Simplify

a)

(n-2)/(n+2)

b)

(n+2)/(n-2)

c)

1/(n+2)

d)

1/(n-2)

7.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

8.

Simplify.

a)

2p

b)

p/2

c)

2/p

d)

4p

9.

Multiply and Simplify

a)

5a-25/ (a-5)(a+9)

b)

5/(a+9)

c)

5a-25/ (a+9)

d)

1/(a+9)

10.

Factor

k²- 7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

11.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

12.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

13.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

14.

Simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

15.

a)

6/(5x),
x≠0

b)

(x-4)/(x-2),
x≠-2

c)

(x+3)/(x+2),
x≠-2, 4

d)

(x+3)/(x-4),
x≠-2, 4

16.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

17.

Which value of x makes the expression undefined?

a)

-2

b)

2

c)

-6

d)

-3

18.

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

a)

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

b)

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

c)

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

d)

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

19.

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

a)

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

b)

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

c)

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

d)

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

20.

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

a)

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

b)

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

c)

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

d)

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

21.

$Simplify:\ \ \frac{x^2-25}{x^2-6x+5}$

a)

$\frac{x+5}{x-1}$

b)

$\frac{x-5}{x-1}$

c)

$\frac{x+5}{x+1}$

d)

$\frac{x-5}{x+1}$

22.

$Simplify:\ \ \ \frac{x^2-4x-45}{x^2-81}$

a)

$\frac{x+5}{x-9}$

b)

$\frac{x+5}{x+9}$

c)

$\frac{x-5}{x-9}$

d)

$\frac{x-5}{x+9}$

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