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Learning Goal

‹2 of 3 in this skill_area›

Solving rational equations

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

A 513. Determine when an expression is undefined F 508. Find the domain of polynomial functions and rational functions F 510. Find where a rational function's graph has a vertical asymptote A 601. Manipulate expressions and equations A 605. Solve quadratic equations AF 703. Analyze and draw conclusions based on properties of algebra and/or functions

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A 513. Determine when an expression is undefined
F 508. Find the domain of polynomial functions and rational functions
F 510. Find where a rational function's graph has a vertical asymptote
A 601. Manipulate expressions and equations
A 605. Solve quadratic equations
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions

What you'll learn

  1. Solve a rational equation by listing its excluded values, clearing denominators (by the LCD, or by cross-multiplication when the equation is one fraction equal to one fraction), and rejecting any candidate that is an excluded value
  2. Explain why clearing denominators can produce an extraneous solution
  3. Solve a rational equation whose cleared form is quadratic, reporting the solution set correctly when a root is rejected
  4. Set up and solve a work-rate problem that produces a rational equation

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