MAP 103: Proficiency Algebra
Homework #2
DUE: THURSDAY, SEPTEMBER 17, 2009
1.
Find and graph the solution to the absolute value inequality:
 
3
x

5

6
7
.
2.
(a) The sum of two real numbers is 20 and their difference is 14. What are the two numbers?
(b) A trapezoid has area 20
.
If the measure of the height is 5 and the length of the shorter base is 3, find
the length of the longer base. The area of a trapezoid is
A
=
1
2
h
(
b
1
+
b
2
)
.
(c) At a store Jane has $100 to spend. In particular, she is interested in buying a Chrome brand messenger
bag. If the bag intially cost $95 after a 15% reduction in price, what was the price of the bag originally?
Would Jane have been able to afford it then?
3.
In each of the following expressions below, solve for the indicated variable.
(a) Solve for
r
in the expression
V
=
πrh.
(b) Solve for
x
in the expression 2
y

3
x

1 = 0
.
4.
Use the laws for exponents to simplify the expressions below.
(a) (
x
2
)
3
+ (
x
3
)
4
+ (
x
4
)(
x
6
) + 3
x
0
(b)
27
x
3
y
2
z
6
24
x
4
yz
5
(
Hint
: Use prime factorization on 27 and 24
.
)
5.
(a) Express the product of (300
,
000)
·
(550
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 Fall '08
 Staff
 Scientific Notation, Elementary algebra, Proﬁciency Algebra Homework, bag intially cost

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