Rational Expressions Date Period

[Pages:4]Kuta Software - Infinite Algebra 2

Rational Expressions

State the excluded values for each. 60x3

1) 12 x

Name___________________________________ Date________________ Period____

70v2 2)

100v

m + 7 3) m2 + 4m - 21

n2 + 6n + 5 4)

n + 1

35x - 35 5)

25x - 40

-n2 + 16n - 63 6) n2 - 2n - 35

Simplify each and state the excluded values. p + 4

7) p2 + 6 p + 8

9 8)

15a - 15

2a2 + 10a 9) 3a2 + 15a

p2 - 3 p - 10 10) p2 + p - 2

x2 + x - 6 11) x2 + 8x + 15

a2 + 5a + 4 12) a2 + 9a + 20

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Worksheet by Kuta Software LLC

x2 - 2x - 15 13) x2 - 6x + 5

(v - 7)(v + 8) 1

15)

(v + 8)(v - 10)

? v - 10

x + 3 3(x - 6) 17) 4 3(x + 3)

2b2 - 12b b - 6

19)

?

b+5 b+5

28 - 7b 1

21)

b - 4 b + 10

1

9 p - 36

23) 5 p2 ? 5 p3 - 35 p2

x2 - 16 x2 + x - 90 25) 9 - x x2 + 14x + 40

10x - 6 14)

10x - 6

n + 3 (n - 1)(n + 3)

16)

?

n + 2 (n - 1)2

x - 8

4x(x + 10)

18) (x + 6)(x - 8) x + 10

1 6-n

20)

?

n + 9 3n - 18

2

v2 - 12v + 27

22) v2 - 12v + 27

3

8 - 7x - x2 x + 5

24)

x + 8 9x - 9

10x2 - 20x 16x3 + 80x2 26) 40x3 - 80x2 6x + 30

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Rational Expressions

State the excluded values for each. 60x3

1) 12 x

{0}

Name___________________________________ Date________________ Period____

70v2 2)

100v

{0}

m + 7 3) m2 + 4m - 21

{-7, 3}

n2 + 6n + 5 4)

n + 1

{-1}

35x - 35 5)

25x - 40

{

8 5

}

Simplify each and state the excluded values. p + 4

7) p2 + 6 p + 8

1 ; {-2, -4}

p + 2

-n2 + 16n - 63 6) n2 - 2n - 35

{-5, 7}

9 8)

15a - 15

3

5(a - 1)

;

{1}

2a2 + 10a 9) 3a2 + 15a

2 ; {0, -5}

3

p2 - 3 p - 10 10) p2 + p - 2

p - 5 ; {-2, 1}

p - 1

x2 + x - 6 11) x2 + 8x + 15

x - 2 ; {-3, -5}

x + 5

a2 + 5a + 4 12) a2 + 9a + 20

a + 1 ; {-4, -5}

a + 5

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Worksheet by Kuta Software LLC

x2 - 2x - 15 13) x2 - 6x + 5

x + 3 ; {1, 5}

x - 1

(v - 7)(v + 8) 1

15)

(v + 8)(v - 10)

? v - 10

v - 7; {-8, 10}

x + 3 3(x - 6) 17) 4 3(x + 3)

x - 6 ; {-3}

4

2b2 - 12b b - 6

19)

?

b+5 b+5

2b; {-5, 6}

28 - 7b 1

21)

b - 4 b + 10

- 7 ; {4, -10}

b + 10

1

9 p - 36

23) 5 p2 ? 5 p3 - 35 p2

p - 7

9( p - 4)

;

{0,

7,

4}

10x - 6 14)

10x - 6

{ }3

1 ; 5

n + 3 (n - 1)(n + 3)

16)

?

n + 2 (n - 1)2

n - 1 ; {-2, 1, -3}

n + 2

x - 8

4x(x + 10)

18) (x + 6)(x - 8) x + 10

4x ; {-6, 8, -10}

x + 6

1 6-n

20)

?

n + 9 3n - 18

- 3 ; {-9, 6}

n + 9

2

v2 - 12v + 27

22) v2 - 12v + 27

3

2 ; {3, 9}

3

8 - 7x - x2 x + 5

24)

x + 8 9x - 9

- (x + 5) ; {-8, 1}

9

x2 - 16 x2 + x - 90 25) 9 - x x2 + 14x + 40

-(x - 4); {9, -4, -10}

10x2 - 20x 16x3 + 80x2 26) 40x3 - 80x2 6x + 30

2x ; {0, 2, -5}

3

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Worksheet by Kuta Software LLC

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