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Ma Th 131

In: Business and Management

Submitted By dragons33
Words 759
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Kuta Software - Infinite Algebra 2

Name___________________________________

Rational Expressions

Date________________ Period____

State the excluded values for each.
1)

60 x 3
12 x

2)

70v 2
100v

3)

m+7
2
m + 4m − 21

4)

n 2 + 6n + 5 n+1 5)

35 x − 35
25 x − 40

6)

−n 2 + 16n − 63 n 2 − 2n − 35

8)

9
15a − 15

Simplify each and state the excluded values.
7)

p+4 p + 6p + 8
2

2a 2 + 10a
9)
3a 2 + 15a

11)

x2 + x − 6 x 2 + 8 x + 15

©C g2q0g1U2H DKEu1tYaZ HS0oSfVt4wmahrFep vLRLIC5.D j lAol1lE Rr3i3gXhwtMsY trae0sRecrvv0eidZ.5 k uM5a3d8eI AwNiltQh6 CIan2fnifnbigtHeJ 1A8lTgcetbnrsak S2m.Q

p 2 − 3 p − 10
10)
p2 + p − 2

12)

-1-

a 2 + 5a + 4 a 2 + 9a + 20

Worksheet by Kuta Software LLC

x 2 − 2 x − 15
13) 2 x − 6x + 5

14)

10 x − 6
10 x − 6

16)

n + 3 (n − 1)(n + 3)
÷
n+2
(n − 1) 2

15)

(v − 7)(v + 8)
(v + 8)(v − 10)

17)

x + 3 3( x − 6)

4
3( x + 3)

18)

x−8
4 x( x + 10)

( x + 6)( x − 8) x + 10

19)

2b 2 − 12b b − 6
÷
b+5 b+5 20)

1
6−n
÷ n + 9 3n − 18

÷

1 v − 10

28 − 7b
1
21)

b − 4 b + 10

23)

1
9 p − 36
÷
5 p 2 5 p 3 − 35 p 2

x 2 − 16 x 2 + x − 90
25)
⋅ 2
9−x
x + 14 x + 40

©v Q26041f2n 6KTuatJae LSFowfPt0wka4r2eP ML3LJCV.X 6 YADljlW wr4iQgfhStWsm nr6ees6e8rOvleZdt.u t 6MpapdPeb hwGivtJhz kITnafBi5nkiqtOeJ vAUlegAevbrrran z20.T

2 v 2 − 12v + 27
22) 2

v − 12v + 27
3

24)

8 − 7x − x2 x+5 ⋅ x+8 9x − 9

10 x 2 − 20 x 16 x 3 + 80 x 2
26)

40 x 3 − 80 x 2
6 x + 30

-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Rational Expressions

Date________________ Period____

State the excluded values for each.
1)

60 x 3
12 x

2)

{0 }

3)

m+7
2
m + 4m − 21

{0 }

4)

35 x − 35
25 x − 40

n 2 + 6n + 5 n+1 {−1}

{−7, 3}

5)

70v 2
100v

6)

−n 2 + 16n − 63 n 2 − 2n − 35

{−5, 7}

{}
8
5

Simplify each and state the excluded values.
7)

p+4 p + 6p + 8
2

8)

1
; {−2, −4} p+2 2a 2 + 10a
9)
3a 2 + 15a

3
; {1 }
5(a − 1)

p 2 − 3 p − 10
10)
p2 + p − 2

2
; {0, −5}
3

11)

x2 + x − 6 x 2 + 8 x + 15

p−5
; {−2, 1} p−1 12)

x−2
; {−3, −5} x+5 ©D 62c0Y1E2Y VKXuTt3aw ASQo3fwt8wpaDraeP QLnLNCQ.t A LAdluln yrUilgFhQtDsQ DrneDsNelrovYefdD.U C TMvaEdceH PwPirtIhN fI3nufUiln3ihtWeW OAllWgLeebkrJa7 D2Y.U

9
15a − 15

a 2 + 5a + 4 a 2 + 9a + 20 a+1 ; {−4, −5} a+5 -1-

Worksheet by Kuta Software LLC

x 2 − 2 x − 15
13) 2 x − 6x + 5

14)

x+3
; {1, 5} x−1 15)

(v − 7)(v + 8)
(v + 8)(v − 10)

1;

÷

1 v − 10

16)

v − 7; {−8, 10}

17)

x + 3 3( x − 6)

4
3( x + 3)

2b 2 − 12b b − 6
÷
b+5 b+5 18)



23)

20)

x−8
4 x( x + 10)

( x + 6)( x − 8) x + 10

1
6−n
÷ n + 9 3n − 18
3
; {−9, 6} n+9 2 v 2 − 12v + 27
22) 2

v − 12v + 27
3
2
; {3, 9}
3

24)

p−7
; {0, 7, 4}
9( p − 4)

x 2 − 16 x 2 + x − 90
25)
⋅ 2
9−x
x + 14 x + 40

n + 3 (n − 1)(n + 3)
÷
n+2
(n − 1) 2



7
; {4, −10} b + 10

1
9 p − 36
÷
5 p 2 5 p 3 − 35 p 2

3
5

4x
; {−6, 8, −10} x+6 2b; {−5, 6}

28 − 7b
1
21)

b − 4 b + 10

{}

n−1
; {−2, 1, −3} n+2 x−6
; {−3}
4

19)

10 x − 6
10 x − 6

8 − 7x − x2 x+5 ⋅ x+8 9x − 9


( x + 5)
9

; {−8, 1}

10 x 2 − 20 x 16 x 3 + 80 x 2
26)

40 x 3 − 80 x 2
6 x + 30

−( x − 4); {9, −4, −10}

2x
; {0, 2, −5}
3

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

©c t2p0r162S XKQuct2aK oSEo6fttuwraEr5e6 2LuLICg.J W XAqlAlv grNiegVhQtjsS rrDeysYe4r4v5e0d9.i c SMPaSdieO Nwli6thhO aIFnNf9i6nsi9t3e9 4AslZgWeqbDrfa8 52m.w

-2-

Worksheet by Kuta Software LLC

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