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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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For more information, please see full course syllabus of Algebra 1
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Lecture Comments (1)

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Post by abbas esmailzadeh on February 24, 2012

Mr Fraser made some mistakes ,and that was confusing from time to time ,but overall he was good.

Rational Equations

  • A rational equation is an equation that contains rational expressions.

  • To solve a rational equation, multiply each term on both sides by the LCM of all the denominators in the equation. Then solve the resulting equation, which has no fractions.

  • An extraneous solution is a value that makes one or more of the denominators in the original equation equal to 0. Always check all potential solutions in the original equation. Exclude extraneous values from the solution set.

  • Here is a better way to deal with extraneous solutions: before solving the equation, determine the values that must be excluded by setting each denominator equal to 0 and solving. Then you will recognize an extraneous solution as soon as it appears as a possible solution.

Rational Equations

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Definition 0:08
    • Examples
  • Solving Rational Expressions 3:02
    • Example
  • Work Problems 6:31
    • Example
  • Extraneous Solutions 13:12
    • Example
  • Lecture Example 1 17:21
  • Lecture Example 2 19:59
  • Additional Example 3
  • Additional Example 4