What is a rational equation?
6.3 Rational Equations Review

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Mathematics
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9th - 12th 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 are polynomials.
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.
3.
FLASHCARD QUESTION
Front
How do you find the least common denominator (LCD) in rational equations?
Back
The least common denominator is found by determining the least common multiple of the denominators of all rational expressions in the equation.
4.
FLASHCARD QUESTION
Front
What does it mean to check for extraneous solutions?
Back
Checking for extraneous solutions means substituting the found solutions back into the original equation to ensure they do not make any denominator zero.
5.
FLASHCARD QUESTION
Front
Back
x = -4.5
6.
FLASHCARD QUESTION
Front
Back
x = \frac{4}{5}
7.
FLASHCARD QUESTION
Front
What is the significance of the variable in the denominator of a rational expression?
Back
The variable in the denominator cannot be zero, as this would make the expression undefined.
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