Math 75 Fall 2006, Lehigh University, Exam I review
These are a sampling of problems for review for the ﬁrst 4o clock test. This sample
may not be complete, and is not representative of the test questions. Be sure to
prepare from all material from class and homeworks.
Remember that use of calculators will not be allowed during the exam.
1. Solve the inequality

2
x

3

<
5
2. Solve the inequality 2
x
2

6
x

8
>
0
3. Solve the inequality
x
2

x
+ 1
≤
0.
4. Solve for
x
:

x
+ 3

=

2
x
+ 1

.
5. Sketch the region
{
(
x,y
)
 
2

2
x
≤
y
≤
4

x
}
6. Solve for
x
assuming
a,b,c
are positive constants:
a
(
b

cx
)
≤
b/a
7. (a) Find the equation of the line through (

4
,
6) and parallel to the
x
axis.
(b) Find the equation of the line through (

4
,
6) and parallel to the
y
axis.
8. Find the equation of the line through (

3
,
4) with slope 2.
9. Find the equation of the line through (4
,
5) parallel to 2
y
= 4
x
+ 5.
10. Identify and sketch the graph of the equation:
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 Spring '06
 YUKICH
 Math, Trigonometry, Lehigh University

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