Solving Rational Equations
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Objective
I can solve rational equations by identifying common denominators and/or clearing the denominator.
Part 1 of 4
Warm-up video
Brian McLogan · 4:40
We don't generate video — this one is by Brian McLogan on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
When solving rational equations with fractions, the first step is to factor the denominators to identify the least common denominator.
- 2
To solve a rational equation, you can multiply all terms by the least common denominator to eliminate the fractions, leaving only the numerators.
- 3
When solving rational equations, it is important to check for extraneous solutions by plugging the solutions back into the original equation to ensure the denominator does not equal zero.
Part 3 of 4
Practice
10 questions
What is the first step recommended in the video for solving rational equations with denominators?
Explain how rewriting '1' can be helpful when solving rational equations.
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve for x: 5/(x+2) + 2/x = 1. Show all steps, including identifying and clearing the common denominator. Be sure to check for extraneous solutions.”
Sample answer included in the free materials
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Teacher Guide
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