Math 101 Practice Final
(Chapters 2  8)
1.
Graph the inequality
2
x
−
3
y
>
5
.
2.
Solve for
x
:

2
5
x
+
1

=

1
−
x

3.
Solve.
1
7
(
x
+
5
)>
1
5
(
x
+
1
)
4.
Find the slope, if possible, of the line passing through (2, 5) and (3, 4).
5.
A pharmacology student was assigned a task of mixing two solutions, one of 15%
strength and the other of 2% strength. How many milliliters (to the nearest 100
th
) of
each solution should be mixed in order to reach 200 milliliters of a 10% strength
solution overall?
6.
Graph the line
x
= 4.
7.
Write the
standard form of the equation of the line which passes through
(
2,5
)
and is
perpendicular to
y
=−
3
x
+
6.
8.
Consider an airline route between two cities that are 1200 miles apart. The trip
against the jet stream (sustained northwesterly wind) requires 3 hours. The return
trip (going with the jet stream) takes 2.5 hours. What is the speed of the plane in still
air (in other words how fast is the plane flying if there is no wind at all)? What is the
speed of the jet stream?
9.
Find the slope and the
y
intercept for the linear equation 3
x
– 4
y
= 8.
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 Summer '19