Honors Algebra 2
Unit 4 – Rationals
Name: _____________________________
4.4 – Mixed Review
Date: ____________________
Part 1: Simplify completely. Identify any values that are undefined.
16 x11
1.
8 x2
x2  x  2
2. 2
x  2x  3
4 x  x2
3. 2
x  2x  8
6x2  7 x  2
4.
6x2  5x  6
Part 2: Multiply the rational expression
x 2  16 2x  10

5.
x5
x4
x 2  9x  18 2  x
 2
6.
4  x2
x  6x
x3  x
x3

7.
2x 2  12x x 2  4x  3
Part 3: Divide the rational expression
8.
4 x3
16

9x 2y 9y 5
9.
8m2
2m2  6m

4m  16
m 3
x2  4
2x  4

10. 2
x  x  6 9  3x
Part 4: Add the rational expression. Identify any values that are undefined.
x3 x2

11.
x4 x4
4
2x

12.
x  2 x2  4
x4
2x

13. 2
x  x  12 x  4
Part 5: Subtract the rational expression. Identify any values that are undefined.
x 2  4 5 x  10

14.
x4
x4
4
3

15.
x  4 x 1
Part 6: Complex Fractions
17.
20
x 1
6
3x  3
18.
x6
2x

16. 2
x  7 x  18 x  9
x3
6
x
1
3
19.
x
4
2
2
9
x
Part 7: Solving. Look for extraneous solutions.
4
x4

3

20.
x
2
x
2 x  10

22.
x  1 x  11
21.
2
5

x  6 x 1
23.
5x
10
7
x2
x2