Name: ___________________________________________________ Date:________________ Unit 5 Rational Test Review Factor each expression: 1. -4x2 – 18x 2. x2 + 13x + 36 3. x2 – 2x – 35

4. 3x2 + 3x – 6 5. x2 – 16 6. -25x4 + 5x3 – 10x

State any restrictions on the expression: 7. (10-7x)÷(x2-4)

8.

x3 x ( x  5) 2

Simplify the rational expression. State any restrictions on the variable. 9.

5 x( x  3) x 2 ( x  3)

10.

18 x 2 y 5 6x 6 y 2

12.

11.

Multiply or divide. State any restrictions on the variables. 13.

15.

2( x  1) ( x  3)( x  1)  ( x  3)( x  1) x 1

16.

(a  9) (a  4)(a  9)  (a  4) (a  3)(a  4)

18.

17.

19.

3x 6 8  5 9 5 5y 5x y

14.

x 2  5 x  6 x 2  3x  2  2 x2  4 x  2x  3

20.

21. Find the least common multiple of: (x – 8)(x + 5) and (x + 9)(x + 9)(x – 8) 22. Find the least common multiple of

and

23. Find the least common multiple of 4x + 16 and x2 – 16

.

Add or subtract. Simplify if possible. 24.

10 3  4 y  8 7 y  14

25.

6 9  (a  7)(a  7) a  7

26.

3x 7x  5  x8 x8

27.

5x 4  2 x  x  6 x  4x  4

29.

2x x3  x  3x  4 4 x  4

28.

Complex Fractions

30.

31.

32.

33.

2

2