Solve Rational Equations Practice
Flashcard
•
Mathematics
•
9th - 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 denominator are polynomials.
2.
FLASHCARD QUESTION
Front
How do you solve a rational equation?
Back
To solve a rational equation, find a common denominator, eliminate the fractions by multiplying both sides by that denominator, and then solve the resulting equation.
3.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.
4.
FLASHCARD QUESTION
Front
What does LCD stand for in the context of rational equations?
Back
LCD stands for Least Common Denominator, which is the smallest multiple of the denominators of the rational expressions involved.
5.
FLASHCARD QUESTION
Front
How do you check for extraneous solutions?
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 is cross-multiplication?
Back
Cross-multiplication is a method used to solve equations involving fractions by multiplying the numerator of one fraction by the denominator of the other.
7.
FLASHCARD QUESTION
Front
What is the first step in solving a rational equation?
Back
The first step is to identify the denominators and find the least common denominator (LCD) to eliminate the fractions.
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