solving rational equations worksheet ... - Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Solving Rational Equations

Date________________ Period____

Solve each equation. Remember to check for extraneous solutions. 1)

1 1 1 = 2 − 2 6k 3k k

2)

1 1 1 + = 2 2 n n 2n

3)

1 1 1 + = 2 2 6b 6b b

4)

b+6 3 b+4 + 2 = 2 4b 2b 2b 2

5)

1 6 = +1 x 5x

6)

1 1 7 = + 2 2 6x 2x 6x

7)

1 3v + 12 7v − 56 + = v v 2 − 5v v 2 − 5v

8)

1 1 5 + = 2 m −m m m −m

9)

1 7 −1= n−8 n−8

10)

©j F2P0M1j1y eKauotSaL PSUoLfptSwTaEraeN XL5LHCY.F W AAhlBl6 DrEiVgehitssU 2rSe6sSeWr1vSePdg.O q 8M8axdSeZ QwFi1tRhq rIznPfkiWnaiPtZen iAulkgOesbKr0aV m2C.s

-1-

2

1 1 6 + 2 = r − 2 r − 7r + 10 r − 2

Worksheet by Kuta Software LLC

11) 1 =

v + 2 7v − 42 + v−4 v−4

x 2 − 5 x − 24 x − 6 13) 1 + = 3x 3x

12)

r−4 1 = +1 5r 5r

14) 1 =

1 x−1 + x + 2x x 2

15)

n+5 6 =1+ n+8 n+1

16)

r+5 1 − 1 = r 2 − 2r r 2 − 2r

17)

1 x+7 = −1 x2 − 5x x

18)

a−2 3 −1= a+3 a+2

19)

p+5 1 p−6 = 2 − 2 p +p p +p p+1

20)

5 4 1 = + 2 2 n + 5n n+5 n

©K x2n0f1r1X PK3umtHa1 fSboCfDtGwiaGrLeW CLQLyCA.d U zAslKlW GrKi7gshHtYs4 yrqeqsdeSrivxeudq.7 T HMia6dxeR 7w1i9tLhU CIcnCfXionFi3tBei HArlggGePbKr6a3 Q2T.x

-2-

3

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Solving Rational Equations

Date________________ Period____

Solve each equation. Remember to check for extraneous solutions. 1)

1 1 1 = 2 − 2 6k 3k k

2)

{}

{ }

1 6

3)

1 1 1 + = 2 2 6b 6b b

−

4)

{5 }

5)

1 6 = +1 x 5x

7)

6)

8)

{21}

9)

1 7 −1= n−8 n−8

1 1 7 = + 2 2 6x 2x 6x

1 1 5 + = 2 m −m m m −m 2

{5 }

10)

{2 }

©r h2g0S1X1y jKeuhtTag bSPoofvt7w2aRr8ec GLcLqCD.0 i zALlnly NrqiBgQhDtts8 frreKscerr8vdepdG.H I qMaaAdKev 5wFiOtHhY jIrn1f1imnai7tGe6 0A8lagDeObzrvaO f2H.y

b+6 3 b+4 + 2 = 2 4b 2b 2b 2

{−2}

1 5

1 3v + 12 7v − 56 + = v v 2 − 5v v 2 − 5v

1 2

{4 }

{ } −

1 1 1 + = 2 2 n n 2n

1 1 6 + 2 = r − 2 r − 7r + 10 r − 2

{ } 26 5

-1-

Worksheet by Kuta Software LLC

11) 1 =

v + 2 7v − 42 + v−4 v−4

12)

{ }

{ }

36 7

x 2 − 5 x − 24 x − 6 13) 1 + = 3x 3x

−

14) 1 =

n+5 6 =1+ n+8 n+1

16)

17)

17 3

1 x+7 = −1 x2 − 5x x

18)

{ } p+5 1 p−6 = 2 − 2 p +p p +p p+1

r+5 1 − 1 = r 2 − 2r r 2 − 2r

a−2 3 −1= a+3 a+2

{ }

36 7

19)

1 x−1 + x + 2x x 2

{4, −1}

{ } −

5 4

{−1}

{−3, 6}

15)

r−4 1 = +1 5r 5r

−

20)

{4, 1}

19 8

5 4 1 = + 2 2 n + 5n n+5 n 3

{ } −

1 4

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

©L z2L0Y1d1v 6KTubtTay 7Sgo3fXtTw8airreB XLALGCP.1 2 9AYljlO NrWibguhKtVsS ur3eAsheZrLvdecdJ.n O tMVatdYe7 8wci7t6hx EIinMfFiun7ibtiew IAwlug6eYbFrha2 i24.o

-2-

Worksheet by Kuta Software LLC