Download Section 8.5 WS

Name: ________________________________________________ Date: ___________________
Algebra 2 - Section 8.5: Add and Subtract Rational Expressions Practice
Period: ____________
Find the least common multiple of each pair of polynomials.
1. 3x(x + 2) and 6x(2x  3)
2. 2x2  8x + 8 and 3x2 + 27x  30
3. 4x2 + 12x + 9 and 4x2  9
4. 2x2  18 and 5x3 + 30x2 + 45x
Simplify each sum or difference. State any restrictions on the variables.
5.
x2 x2

5
5
6.
6 y  4 3y  1

y2  5 y2  5
7.
2y  1 5y  4

3y
3y
8.
12
9
 3
3
xy
xy
9. 
2
n2
 2
n  4 n  16
11.
6
5

2
5 x y 10 xy 2
13.
4
6
 2
x  25 x  6 x  5
2
10.
3
1

3 3
4
xy
8x y
12.
14.
x2
2

x  4x  4 x  2
2
y
1
 2
4y  8 y  2y
Simplify each complex fraction.
2
15. x
3
y
2
x
16.
6
4
x
3
x
18.  1
5
x 1
4
2
x
1
19.
3
x 1
2
6
21. x
1
y
x3
22. x2  3
x 9
3x  9
1
1
17. x – 2
1
2
x
1
20.
2
3
4
9
5
23. x  3
1
2
x3