Algebra: Solving Linear Equations - Part 2: Applications (Sample 2)

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Taught by videomathtutor
  • Currently 4.0/5 Stars.
8664 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

This lesson on solving linear equations with applications covers a range of word problems, including geometry, age, mixture, money, rate-time-distance, and percent. The tutor walks through how to solve these problems step by step, including how to convert units of measurement and repeating decimals to fractions. The lesson concludes with a check to ensure the solution is correct using the rate-times-time-equals-distance formula.

Lesson Description:

[NOTE: This video is only a 12 minute portion of the full 3 hour lesson. Please visit my website to purchase complete version] This lesson consists of providing you with a Self-Tutorial on how to solve typical linear word problems (story problems or applied problems). The tutor shows you how to solve for a specific variable in formulas. He also discusses how to covert a repeating decimal into a fraction (which was skipped in Basic Math: Lesson 6 -\"Fractions\") and will teach you how to convert units of measurement.

Examples of word problems done include:

Finding a number based on certain criteria.
Word problems involving some geometry (triangle, rectangle, circle).
Age problems.
Mixture problems.
Money problems (story of my life!).
Rate-Time-Distance problems.
Percent Equations/problems.
Ratio and Proportion (concepts and solving problems, including similar triangles).
Problems dealing with Unit Price.

Questions answered by this video:
  • How do you solve a linear equation in Algebra?
  • What are some real-life applications to solving linear equations?
  • How do you solve rate-time-distance problems?
  • How do you make a table to solve a rate-time-distance problem?
  • If it takes Karl four hours to paddle his canoe upstream, it takes him 144 minutes to travel the same distance downstream, and he can go 2 miles per hour in still water, what is the speed of the river current?
  • How do you use units conversion to convert minutes into hours?
  • What is unit conversion?
  • How can you change 144 minutes into hours?
  • How do you solve the system of equations (2 - r)*4 = d and (2 + r)*2.4 = d?
  • How do you solve (2 - r)*4 = (2 + r)*2.4?
  • How do you check your answer to a rate-time-distance problem?
  • Staff Review

    • Currently 4.0/5 Stars.
    This is a very thorough and understandable explanation of how to solve a problem involving a river current. This type of problem is very common in Algebra classes, and it is often confusing. This method of making a chart and using r*t=d is very helpful and works very well. Great tutorial.