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Material Type: Assignment; Class: Combined Algebra; Subject: Mathematics; University: Harford Community College; Term: Spring 2009;
Typology: Assignments
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Directions: Solve each of the following problems on separate paper. Staple everything together
with your name on each sheet of paper and submit by the due date. Show work when necessary;
otherwise, the problem becomes all or nothing. Each problem will be scored on the 0, 1, 4,
4.5, 5 scale as detailed in the syllabus.
In 1) and 2), find where the rational expression is undefined :
2 − −
x x
x
x x x
x
3 2
2
x
2 3
2
In 4) – 6), multiply and simplify the rational expression – leave NO negative exponents :
9
5
2 3
4
r
s
r s
r s ⋅ 5) 2 7 4
2 2
2
x x
x
x x
x x
3
2 2
x
x x
x
x
In 7) – 9), divide and simplify the rational expression:
5 2 8
12
3
7 2 4
ab c
a b
b c
a b c ÷ 8) 3 2
2
2
2
2
x x
x x
x x
x x
2
2
2
2
x
x x
x x
x x
More on the other side →
In 10) – 15), add or subtract and then simplify the rational expression if possible:
x 5 x
2
4 2 16
y y
x − x
x
− x x
x
x
2
x x
x
x
x
36 3 19 6
2 2
x x
x
x
x