Solve Rational Equations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Wayground Content
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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
What does it mean to solve by cross-multiplying?
Back
Cross-multiplying is a method used to eliminate fractions in a rational equation by multiplying the numerator of one fraction by the denominator of the other fraction.
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
How do you identify the Least Common Denominator (LCD)?
Back
The LCD is the smallest expression that can be used as a common denominator for all fractions in an equation.
5.
FLASHCARD QUESTION
Front
What is the first step in solving a rational equation?
Back
The first step is to identify and eliminate any fractions, often by finding the LCD and multiplying both sides of the equation by it.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation 1/(x-2) = 3/4?
Back
x = 10/3.
7.
FLASHCARD QUESTION
Front
How do you check for extraneous solutions?
Back
Substitute the solution back into the original equation to see if it holds true.
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