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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-1-
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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-2-
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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-1-
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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-2-
Worksheet by Kuta Software LLC
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