Adding+Subtracting Rational Expressions - Kuta Software

Kuta Software - Infinite Algebra 1

Name___________________________________

Adding + Subtracting Rational Expressions

Date________________ Period____

Simplify each expression.

1)

u + 5v

u ? 6v

?

2 2

8v u

8v 2 u 2

2)

5n

2m + 4n

+

30m

30m

3)

a + 2b

5a + 4b

?

3

6a

6a 3

4)

x+ y

6x + y

?

18 xy

18 xy

5)

4a ? 5

a?1

+ 2

2

6a + 30a 6a + 30a

6)

5x ? 4

x+6

?

3

2

3

9 x + 27 x

9 x + 27 x 2

7)

b?3

4b

+

12b + 18 12b + 18

8)

n?4

n+1

+ 2

n ? n ? 20 n ? n ? 20

9)

7x

x?2

?

2x

20 x + 16

10)

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-1-

2

8

4

+ 2

7v ? 6 3v

Worksheet by Kuta Software LLC

11)

7v

8v ? 4

?

5v ? 2

8

12)

4

7

?

n+7

n?2

13)

7

7

?

2n

3n + 24n

14)

6

7

?

v?2

2v + 7

15)

6x

7

+

3

15 x + 3

16)

5v

5

+

v?3 v+6

17)

4x

5

?

x + 4x ? 5

4

18)

2

6x

?

x+3

2x + 1

19)

4x

4x

?

x+3

x+6

20)

2x

2

?

3x + 3

x+5

21)

6

6

+

x?2

x+1

22)

v?2

+ 3v

3v ? 15v 3 ? 18v 2

2

2

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-2-

4

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Name___________________________________

Adding + Subtracting Rational Expressions

Date________________ Period____

Simplify each expression.

1)

u + 5v

u ? 6v

?

2 2

8v u

8v 2 u 2

2)

11

8vu 2

3)

a + 2b

5a + 4b

?

3

6a

6a 3

9n + 2m

30m

4)

?2a ? b

3a 3

5)

4a ? 5

a?1

+ 2

2

6a + 30a 6a + 30a

b?3

4b

+

12b + 18 12b + 18

6)

7x

x?2

?

2x

20 x + 16

8)

5x ? 4

x+6

?

3

2

3

9 x + 27 x

9 x + 27 x 2

n?4

n+1

+ 2

n ? n ? 20 n ? n ? 20

2

2n ? 3

n ? n ? 20

2

10)

8

4

+ 2

7v ? 6 3v

24v 2 + 28v ? 24

3v 2 (7v ? 6)

69 x + 58

4(5 x + 4)

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5

18 y

4 x ? 10

9 x 3 + 27 x 2

5b ? 3

12b + 18

9)

x+ y

6x + y

?

18 xy

18 xy

?

5a ? 6

6a 2 + 30a

7)

5n

2m + 4n

+

30m

30m

-1-

Worksheet by Kuta Software LLC

11)

7v

8v ? 4

?

5v ? 2

8

12)

35v 2 ? 78v + 32

8(5v ? 2)

13)

7

7

?

2n

3n + 24n

2

?3n ? 57

(n + 7)(n ? 2)

14)

?154 ? 21n

6n(n + 8)

15)

6x

7

+

3

15 x + 3

4x

5

?

x + 4x ? 5

4

2

16)

4x

4x

?

x+3

x+6

18)

6

6

+

x?2

x+1

2

6x

?

x+3

2x + 1

?14 x + 2 ? 6 x 2

(2 x + 1)(x + 3)

20)

2x

2

?

3x + 3

x+5

2x2 + 4x ? 6

3( x + 1)( x + 5)

12 x

( x + 3)( x + 6)

21)

5v

5

+

v?3 v+6

5v 2 + 35v ? 15

(v + 6)(v ? 3)

?4 x ? 5 x 2 + 25

4( x + 5)( x ? 1)

19)

6

7

?

v?2

2v + 7

5v + 56

(2v + 7)(v ? 2)

30 x 2 + 6 x + 7

3(5 x + 1)

17)

4

7

?

n+7

n?2

22)

v?2

+ 3v

3v ? 15v 3 ? 18v 2

4

9v 5 ? 45v 4 ? 54v 3 + v ? 2

3v 2 (v + 1)(v ? 6)

12 x ? 6

( x + 1)( x ? 2)

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Worksheet by Kuta Software LLC

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