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A review for exam #3 of math 0980, covering topics 6.1 to 8.1. It includes problems on simplifying expressions, identifying monomials, factoring, and solving equations. Students are encouraged to check their answers and use the review as a guide for studying.
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Review for Exam #3 Math 0980
Topics 6.1 - 8.
a) 444444xxxxxxxyyy
b)
aaab
Simplify each of the following:
5
2
9
2 y
5 )
3
3 (4x
3 )
c
ab
2
2
0 (x
3 y
5 )
0
2 )
0
0 y
3 )
2
3
2
3
3
2
3
2
bimonial, or trinomial:
a) 2x
2 y - 3x
b) 5x
3 y
2 z
4
c) 7x
2
5
d) 7x
5
4
6x + 32x
3
4
2
2
2
3 (5x
2
5
2
2
2
2 , -8x
2 , 2x
3
4
3
2 ) ÷ 3x
3
2
following:
a) 8x
5 b) (-6x
2 )
3 c) (8x)
2
d) -5x
3 e) 9
3
Factor by grouping:
b - 9ab
Factor out the greatest common factor.
y - 6xy
Find the greatest common factor of the terms.
b
, 40a
b
y
, 12xy
, 36x
Decide if the expression is completely factored.
Factor as completely as possible.
y - 32xy
y
Solve by factoring:
2
2
2
(There are no problems 67 – 71)
Find the value for which each of the following rational
expressions is undefined:
x − x +
2 − −
x x
x
2 −
x
x
be defined if x = 5 or x = -
Reduce to lowest terms:
2 5 3
5 2 3
x y z
x y z
ab
ab 3
2 4
2
2
x
x x
x
x
Add/Subtract/Multiply or Divide as indicated. Reduce
your answers to lowest term.
y
x
y
x
x +
x
2
x +
2
2
4
r
p
r
p
Remember to take this exam as though it were the
actual exam. Take an hour when you will not be
disturbed, don’t use any notes or other aids. Now
check your answers. Use this as a guide to help you
decide where your time is best spent when studying.