What is a rational equation?
Solving Rational Equations

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Mathematics
•
10th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator is a polynomial.
2.
FLASHCARD QUESTION
Front
What is the first step in solving a rational equation?
Back
The first step is to identify any restrictions on the variable that would make the denominator zero, as these values are excluded from the solution.
3.
FLASHCARD QUESTION
Front
How do you find the least common denominator (LCD) in a rational equation?
Back
The least common denominator is found by determining the least common multiple of the denominators of all the rational expressions in the equation.
4.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that emerges from the process of solving the equation but does not satisfy the original equation.
5.
FLASHCARD QUESTION
Front
How do you check for extraneous solutions in rational equations?
Back
To check for extraneous solutions, substitute the solution back into the original equation to see if it holds true.
6.
FLASHCARD QUESTION
Front
What are excluded values in rational equations?
Back
Excluded values are the values of the variable that make any denominator in the equation equal to zero, which cannot be included in the solution set.
7.
FLASHCARD QUESTION
Front
What is the process for solving a rational equation?
Back
1. Identify excluded values. 2. Find the least common denominator. 3. Multiply through by the LCD to eliminate fractions. 4. Solve the resulting equation. 5. Check for extraneous solutions.
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