Solving Word Problems using Proportions 2
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Lesson Summary:
This lesson teaches how to solve word problems using proportions by setting up a proportion equation and cross-multiplying. The example problem involves determining the distance between two cities in miles given their distance on a map in inches. The lesson also covers the concept of similar triangles and how they are proportional to each other. The instructor provides an example problem of finding the length of a missing side of a triangle using proportions.
Lesson Description:
Shows how to solve word problems by writing a proportion and solving.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you solve word problems using proportions?
- How can you check the solution to a word problem to see if it is reasonable?
- If on a map, two cities are 2 5/8 inches apart, and 3/8 inches on the map represents 25 miles, how far apart are the cities (in miles)?
- How can you determine how far apart cities are by using the scale?
- How can you use a map scale to find distance?
- How do you solve the proportion (3/8)/25 = (2 5/8)/m?
- What are similar triangles?
- How can you use proportions to find a missing length of a triangle that is similar to another triangle?
- If you have two similiar triangles and you are missing a length of one triangle, how do you find the missing length using proportions?
- How do you solve the proportion 12/5 = x/6?
- How do you solve the proportion 5/x = 4/6?
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Staff Review
This lesson goes through a very common and useful word problem that uses proportions to solve. All steps for finding the solution to the problem are shown and explained. Also, a problem dealing with similar triangles is shown. This is a great video for learning how to write and solve proportions from very common Algebra scenarios.
