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Adding and Subtracting Rational Equations

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Find the solutions to: −1x+5+5x=17x2+5x\frac{-1}{x+5}+\frac{5}{x}=\frac{17}{x^2+5x}  

a)

0

b)

-1

c)

-2

d)

1

2.

Find the solutions to: 3x+5+4x−5=40x2−25\frac{3}{x+5}+\frac{4}{x-5}=\frac{40}{x^2-25} 

a)

0

b)

2

c)

5

d)

No solution

3.

Find the solutions to: 3x+1−2x−5=−7x2−4x−5\frac{3}{x+1}-\frac{2}{x-5}=\frac{-7}{x^2-4x-5} 

a)

9

b)

10

c)

11

d)

No solution

4.

Find the solutions to: x5+3x+8=35x+40\frac{x}{5}+\frac{3}{x+8}=\frac{3}{5x+40} 

a)

-6

b)

-2

c)

-6 and -2

d)

-6 and 2

e)

No solution

5.

Find the solutions to: 7x+6+8x=48x2+6x\frac{7}{x+6}+\frac{8}{x}=\frac{48}{x^2+6x} 

a)

0

b)

6

c)

3

d)

No solution

6.

Find the solutions to: 10x+2−8x−2=12x2−4\frac{10}{x+2}-\frac{8}{x-2}=\frac{12}{x^2-4} 

a)

24

b)

25

c)

18

d)

No solution

7.

Find the solutions to: −1x+2−2x−5=10x2−3x−10\frac{-1}{x+2}-\frac{2}{x-5}=\frac{10}{x^2-3x-10} 

a)

3

b)

-3

c)

0

d)

No solution

8.

Find the solutions to: 7x+4−8x+6=3x+2x2+10x+24\frac{7}{x+4}-\frac{8}{x+6}=\frac{3x+2}{x^2+10x+24} 

a)

3

b)

-3

c)

0

d)

No solution

9.

Find the solutions to: 10x+5+12x+6=12xx2+11x+30\frac{10}{x+5}+\frac{12}{x+6}=\frac{12x}{x^2+11x+30} 

a)

10

b)

-10

c)

-12

d)

12

10.

Find the solutions to: 1x+3+1x+7=6x2+10x+21\frac{1}{x+3}+\frac{1}{x+7}=\frac{6}{x^2+10x+21} 

a)

1

b)

0

c)

-1

d)

-2