Applications of Rational Expressions Lesson

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In this section, we review how to solve word problems when rational expressions are involved. The most common problems in this section are
motion word problems and rate of work problems. Motion word problems remain simple: we are relating distance to the product of speed and time.
We will see many problems that involve a current or wind speed in this section. These problems are generally solved by realizing the wind or
current in a person’s favor, will increase their speed. Alternatively the wind or current against a person’s favor will decrease their speed.
Additionally, we will tackle a problem known as rate of work. Rate of work problems are fairly simple to solve. They involve analyzing two or
more people’s individual contribution to obtain a combined speed for a given job. We usually begin these problems by finding each person’s
rate of work per one unit of time. We can then combine these individual rates in the scenario to find the group’s rate of work in one unit of
time. After this is done, we can use a variable to represent the number of given units of time to complete the job. We multiply the group’s
rate of work in one unit of time by this variable and set this equal to one. The one here refers to one completed job. Solving for the
variable gives us the number of given units to complete the job, if everyone is contributing at their given rate of work.

Applications of Rational Expressions Resources:

Videos:

Khan Academy - Video
Khan Academy - Video
Khan Academy - Video
Virtual Nerd - Video
Text Lessons:

Purple Math - Text Lesson
Monterey Institute - Text Lesson
Worksheets:

MT SAC - Worksheet
LA TECH EDU - Worksheet
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