Download Math 154 – Elementary Algebra Name___________________________ Caspers

Math 154 – Elementary Algebra
Caspers
Name___________________________
Date____________________________
GCF and Grouping—7.1 & 7.2
Factor each expression completely. If a problem cannot be factored, state this. CHECK YOUR ANSWERS (by multiplication)!
1.
x 2 y  2 x y 2  1 5x y
2.
4 p3  2 4 p  2 8
3.
2 4 x 7 y 2  1 2 x 2 y 5  3 0 x3 y 4
4.
2a 2  7
5.
w2  1 5w
6.
x2  y  5   2  y  5 
7.
x2  2 x  7   2 x  7
8.
x2 y  2 x2  4 y  8
9.
s t 2  s t  5t 2  5t
10.
p q 2  2 p q  3 p 2  3q
Review of Chapter 6
Perform the indicated operation then simplify.
11.
x4 y2
x7 y  7
12.
27
24
13.
 1 5a  8c1 0 

5 4 
 1 2a c 
14.
st
15.
s  t
16.
4s  s
17.
5x y 2  2 x4 y3 
18.
5x y 2  2 x4  y3 
19.
5x y 2  1 5x y  2 0 y
 5x
20.
3x 2  4 x  2 0
x2
5
2
2
2