Lesson 7.6 & 7.7F&#=
8217;08
Objective: 1.=
To solve equations containing rational
expressions.
2. To
solve application problems.
Rational equation-is an equation that contains rational
=
expressions.
Solve:<=
/p>
1. ![](3D"M117Lessons7.6-7.7F'08_files/image002.gif")
![](3D"M117Lessons7.6-7.7F'08_files/image004.gif")
2. ![](3D"M117Lessons7.6-7.7F'08_files/image006.gif")
Extraneous solution: An apparent solutio=
n that
does not solve the
=
equation.
To solve an equation that contains rational
expressions:<=
/p>
1. Eliminate the rational expressions=
by
multiplying both sides of
the equation by =
their
LCD.
2. Solve the equation using the appro=
priate
method.
3. Check your answer in the original
equation. Discard any
extraneous solutions.
3. ![](3D"M117Lessons7.6-7.7F'08_files/image008.gif")
&=
nbsp; This
is a proportion.
4. ![](3D"M117Lessons7.6-7.7F'08_files/image010.gif")
5. ![](3D"M117Lessons7.6-7.7F'08_files/image012.gif")
6. ![](3D"M117Lessons7.6-7.7F'08_files/image015.gif")
Set up an e=
quation
and solve each problem.
1. Aft=
er a
large snowfall, Franklin
can shovel the snow from the sidewalk in 6 minutes and Shawnna can do it in=
8
minutes. How long will it tak=
e them
to clear the sidewalk if they work together?
2. Ste=
ve and
Sam own a cleaning business. =
Steve
can clean an average-size house in 3 hours, and Sam can clean a similar hou=
se
in 4 hours. How long would it=
take
them to clean an average size house working together?
3. A
police cruiser is moving 40mph faster than a freight train. In the same time that it takes the=
train
to travel 300 miles, the police cruiser travels 700 miles. Find their speeds.
4. The river current is 8 miles per
hour. A jet ski can travel 34=
miles
downstream in the same time that it takes to go 18 miles upstream. What is the speed of the jet ski w=
ith no
current?
Class work Section 7.6-7=
.7
Homework Math XL section=
s 7.6
& 7.7
DUE BY__________________=
__
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