MAC1140, Precalculus Algebra, Summer B 2007
Review Problems for Exam 3
1. Describe each graph! (If it’s a circle, find center and radius!)
a) 2
x
2
+ 2
y
2
+ 20
x
+ 8
y
+ 56 = 0
b) 4
x
2
+ 4
y
2

4
x
+ 12
y
+ 10 = 0
c)
x
2
+
y
2

4
y
+ 5 = 0
2. Find the slopeintercept form of the equation of a line that
a) has slope

1 and
y
intercept 3
b) goes through the points (

2
,
1) and (1
,
0)
c) is parallel to the line 5
x
+
y
+1 = 0 and goes through the point (1
,
1)
d) is perpendicular to the line 5
x
+
y
+ 1 = 0 and goes through the
point (1
,
1)
3. Find all
k
such that the line through the points (1
, k
) and (3
, k
2
) is
perpendicular to the line 6
y
+ 2
x
+ 5 = 0.
4. A company has a fixed cost of $400 and additional costs of $3 for each
unit of a product it produces. The revenue from selling one unit of the
product is $8.
a) Find an equation that relates the profit
P
with the number
x
of
units produced.
b) What is the profit when 100 units are being sold?
c) Find the
x
 and the
y
intercept of the graph of the profit equation
and interpret their significance.
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 Summer '08
 WILLIAMSON
 Calculus, Algebra, Slope, $3, $400, $8

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