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Adding+Subtracting Rational Expressions - Kuta Software
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Adding+Subtracting Rational Expressions - Kuta Software
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Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2 ... 28) Split into a sum of two rational expressions with unlike denominators: 2x + 3 x. 2 + 3x + ...
Kuta Software - Infinite Algebra 2
Name___________________________________
Adding/Subtracting Rational Expressions
Date________________ Period____
Simplify each expression. 1)
u − v 6u − 3v + 8v 8v
2)
m − 3n m + 3n − 3 6m n 6m 3 n
3)
5 5a + 1 + 2 a + 3a + 2 a + 3a + 2
4)
5 n−6 + 2 10n + 16n + 6 10n + 16n + 6
5)
r+6 r+1 + 3r − 6 3r − 6
6)
x+2 x+3 − 2 2 x + 13 x + 20 2 x + 13 x + 20
7)
6 5x − x−1 4
8) 6 −
9)
3 4 + x+7 x−8
10)
3 7 − 4v + 4v 2
11)
7 8 − 3 12 x − 8
12)
5 4n + n + 5 2n + 6
13)
2x 6x + 5x + 4 2x + 3
14)
2 8 + 3 x + 12 x 2x
2
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-1-
2
2
x+5 (7 x − 5)( x + 4)
2
2
Worksheet by Kuta Software LLC
15)
7n 8 + n+1 n−7
16)
2 4 + n+8 n+1
17)
3 3 − 8 3x + 4
18)
3 7 + b−8 b+3
19)
3 7 + x+6 x−2
20)
4 2 − x+1 x+2
21)
5n + 5 7n + 5n 2 + 35n − 40 3n
22)
3 6 + n − 5 3n − 8
23)
25 4
24)
1 4 − 5 25
a a − 25 5 25) a
26)
8 4 16 + 9 9
5 4 5 4 − m m
Critical thinking questions: 27) Simplify:
a c + b d
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28) Split into a sum of two rational expressions with unlike denominators: 2x + 3 2 x + 3x + 2
-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Adding/Subtracting Rational Expressions
Date________________ Period____
Simplify each expression. 1)
u − v 6u − 3v + 8v 8v
2)
7u − 4v 8v 3)
5 5a + 1 + 2 a + 3a + 2 a + 3a + 2 2
−
4)
6 + 5a a + 3a + 2 r+6 r+1 + 3r − 6 3r − 6
6 5x − x−1 4
6)
3 4 + x+7 x−8
1 2 x + 13 x + 20
8) 6 −
x+5 (7 x − 5)( x + 4)
7 8 − 3 12 x − 8
10)
2x 6x + 5x + 4 2x + 3
12)
5 4n + n + 5 2n + 6 15n + 15 + 2n 2 (n + 3)(n + 5)
14)
34 x 2 + 30 x (5 x + 4)(2 x + 3)
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3 7 − 4v + 4v 2 2
3 − 14v 2 − 14v 4v(v + 1)
21 x − 20 3(3 x − 2) 13)
2
42 x 2 + 137 x − 125 (7 x − 5)( x + 4)
7x + 4 ( x + 7)( x − 8) 11)
x+2 x+3 − 2 2 x + 13 x + 20 2 x + 13 x + 20 2
−
24 − 5 x 2 + 5 x 4( x − 1) 9)
5 n−6 + 2 10n + 16n + 6 10n + 16n + 6 2
2
2r + 7 3r − 6 7)
1 m3
−1 + n 10n + 16n + 6
2
5)
m − 3n m + 3n − 3 6m n 6m 3 n
2 8 + 3 x + 12 x 2x 2
50 + 12 x 3 x ( x + 4)
-1-
Worksheet by Kuta Software LLC
15)
7n 8 + n+1 n−7
16)
7n 2 − 41n + 8 (n + 1)(n − 7) 17)
19)
3 3 − 8 3x + 4 9 x − 12 8(3 x + 4) 3 7 + x+6 x−2
6n + 34 (n + 1)(n + 8) 18)
5n + 5 7n + 5n 2 + 35n − 40 3n
20)
22)
52n − 53 + 7n 2 3(n + 8)(n − 1)
23)
25 4
3 7 + b−8 b+3 10b − 47 (b + 3)(b − 8)
10 x + 36 ( x + 6)( x − 2) 21)
2 4 + n+8 n+1
4 2 − x+1 x+2 2x + 6 ( x + 1)( x + 2) 3 6 + n − 5 3n − 8 15n − 54 (3n − 8)(n − 5)
24)
1 4 − 5 25
8 4 16 + 9 9 18 5
625 4 a a − 25 5 25) a 4 − 25
26)
5 4 5 4 − m m 5m 4
Critical thinking questions: 27) Simplify:
a c + b d
ad + bc bd
28) Split into a sum of two rational expressions with unlike denominators: 2x + 3 2 x + 3x + 2 1 1 Many solutions. Ex: + x+1 x+2
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
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