6.8 Review - Rational Functions (worksheet) v1 20130129

Algebra 2 - Task 6.8

Name___________________________________

Unit 6 Review - Rational Functions

Date________________ Period____

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Simplify each expression. 1)

25 m−2 5 − 3 m−2

1 4 − 5 25 3) x x − 4 5

2)

16 x x2 − 3 12

x2 x−2 − x−2 16 4) 3 x−2 + x−2 16

Solve each equation. Remember to check for extraneous solutions. 5) 1 −

7)

4 1 = 3x x

m−1 m − 5 m 2 + 3m − 10 − = m 2 − 3m m−3 m 2 − 3m

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6)

1 1 1 = + 2 2 5p p p

8)

1 2 −1= 2 n−1 n − 6n + 5

Worksheet by Kuta Software LLC

Algebra 2 - Task 6.8

Name___________________________________

Unit 6 Review - Rational Functions

Date________________ Period____

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Simplify each expression. 1)

25 m−2 5 − 3 m−2

2)

75m − 150 m 2 − 4m − 11

1 4 − 5 25 3) x x − 4 5

16 x x2 − 3 12 192 4x − x2

x2 x−2 − x−2 16 4) 3 x−2 + x−2 16 15 x 2 + 4 x − 4 52 + x 2 − 4 x

4 5x

Solve each equation. Remember to check for extraneous solutions. 4 1 = 3x x

5) 1 −

6)

{}

{ }

7 3

7)

m−1 m − 5 m 2 + 3m − 10 − = m 2 − 3m m−3 m 2 − 3m

{ } −

3 2

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1 1 1 = + 2 2 5p p p −

8)

4 5

1 2 −1= 2 n−1 n − 6n + 5

{4, 3}

Worksheet by Kuta Software LLC