Secondary Math III
Assignment #5.1
Name__________________________________
Period_____
Reduce the fraction to its simplest terms:
1.
35
84
2.
32
68
3.
12
66
Simplify each expression. Don’t forget to factor first! List all restrictions on the variable(s):
x 2  36
x 2  3x  18
4.
36 x3 y
16 x 2 y 3
(2 x  1)( x  3)( x  2)
5.
( x  3)(2 x  4)
7.
x 2  8 x  15
x2  4x  5
8.
2 x2  5x  2
x2  4x  4
11.
x 2  5 x  14
x2  x  2
12.
x3  2 x 2  9 x  18
x3  3x 2  4 x  12
15 8

22 15
15.
27 1 16
 
32 8 9
10.
x 2  3x  2
x2 1
6.
9.
10 x3  2 x 2
12 x 2  6 x
Divide out common factors, then multiply:
13.
2 3

21 4
14.
Multiply each expression. Describe any restriction(s) for the variable and simplify the ansewr when possible.
Don’t forget to factor first!
16.
19.
5 x 2 14

7 3x
12 x  20
6

5x
9 x  15
21.
x2  4 x  5

x5 x2
24.
x3
1
 2
 ( x 2  25)
x  5 x  6x  9
26.
17.
3mn 2 m 20


10
8n 3m 2
18.
20.
22.
x 2  2 x  3 x3  x 2

x2
x3
25.
27.
x 1
x2

x
2x  2
( x  3)( x  4) ( x  5)( x  6)

( x  4)( x  2) ( x  6)( x  3)
23.
x2  4x 2  x

x2
x
5 x 2 3x 2  12 x x 2  2 x  1


x4
7x  7
3