NAME
CLASS
DATE
Practice
8.5 Solving Rational Equations and Inequalities
Solve each equation. Check your solution.
1.
4
2x 1
4x 4 5
2.
x1
x5
x8 x5
3.
x 15
x 12
x5 x
4.
x8
x1
x 5 2x 10
5.
x2 1
x 2 3x 1
6.
x 10
4x
2x 1 3x 4
7.
2x 3
x2
x 1 x
8.
1
1
3
4 x 2x
9.
x
x5
x2
x2 5 5
10.
1
3
x 1 4 1 x2
11.
12.
3
5
4x 2
2
x2
x2
x 4
14
3x 2
x3
x 2 x 2 x2 4
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Solve each inequality. Check your solution.
13.
x
x2 2
14.
x
x6 2
15.
x
x
x1 x1
16.
x
4
x3 x2
17.
x1
x1 2
18.
x1
x
7
x 2 x 3 x 2 5x 6
19.
x
2
x1 x1 1
20.
1
x
x3 x4 1
21.
x1
x
2
x 1 x 1 x2 1
Use a graphics calculator to solve each rational inequality.
Round answers to the nearest tenth.
22.
2
x3 x3
23.
x2
x4 1x
24.
x3
x4 x
25.
x1
1
x2 x3
26.
x4
x
x x4 1
27.
2x 3
3
x x2 5
Algebra 2
Practice Workbook
51