Algebra 3
Chapter 9 Test REVIEW
Name: _____________________________
Simplify each rational expression. State any restrictions on the variable.
1.
x 1
2
x  x2
2.
x 2  2 x  24 x 2  1

x 2  7 x  12 x  6
3.
3x  3
2x  5
 2
2
2 x  11x  15 x  9
4.
2 x 3 15 y 2

5 y 10 x 2
5.
4x 2  2x
2x
 2
2
x  5x  4 x  2 x  1
6.
x 2  25 2 x  10

x 2  16 x 2  4 x
1
2
 2
x  1 x  3x
Simplify each rational expression.
7.
3x
6

x 4 x2
8.
9.
5x
4
 2
x  x  6 x  4x  4
10.
2
2
2
2x
4x
 2
x  x  2 x  3x  2
2
Algebra 3
Chapter 9 Test REVIEW
Name: _____________________________
Solve each rational equation. Check for extraneous solutions.
11.
2
4

3x  5 x  15
12.
3
1
 2
x 1 x 1
13.
2
x4

x 1
3
14.
x x

7
5 10
16.
x
x

2
x 1 x  2
15. x 
6
 5
x
Simplify each complex fraction.
17.
18.