
Rational Equations Flashcard
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational equation?
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 the common denominator and multiply all terms by it to eliminate the fractions.
3.
FLASHCARD QUESTION
Front
Why is it important to check for excluded values when solving rational equations?
Back
Excluded values are values that make the denominator zero, which would make the expression undefined. Checking for these values ensures the solution is valid.
4.
FLASHCARD QUESTION
Front
What does it mean to cross multiply in a rational equation?
Back
Cross multiplying involves multiplying the numerator of one fraction by the denominator of the other fraction, allowing the equation to be rewritten without fractions.
5.
FLASHCARD QUESTION
Front
How do you find the critical points in a rational inequality?
Back
Critical points are found by setting the numerator and denominator equal to zero and solving for x. These points help determine the intervals to test for the inequality.
6.
FLASHCARD QUESTION
Front
What is the significance of combining terms in a rational inequality?
Back
Combining terms into a single rational expression simplifies the inequality, making it easier to analyze and solve.
7.
FLASHCARD QUESTION
Front
What is the process for solving a rational inequality?
Back
1. Rewrite the inequality to have a zero on one side. 2. Combine into a single rational expression. 3. Identify critical points. 4. Test intervals to determine where the inequality holds.
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