Solving Rational Equations
Flashcard
•
Mathematics
•
10th - 12th 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/or denominator is a polynomial.
2.
FLASHCARD QUESTION
Front
How do you solve a rational equation?
Back
To solve a rational equation, you can find a common denominator, eliminate the fractions, and then solve the resulting polynomial equation.
3.
FLASHCARD QUESTION
Front
What is cross-multiplication in rational equations?
Back
Cross-multiplication is a method used to solve equations of the form a/b = c/d by multiplying the numerator of one fraction by the denominator of the other.
4.
FLASHCARD QUESTION
Front
What does it mean if a rational equation has no solution?
Back
A rational equation has no solution if the equation leads to a contradiction, such as an impossible statement like 0 = 5.
5.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 1/(x-2) = 3/4?
Back
The first step is to cross-multiply to eliminate the fractions: 1 * 4 = 3 * (x - 2).
6.
FLASHCARD QUESTION
Front
How do you check your solution in a rational equation?
Back
To check your solution, substitute the value back into the original equation to see if both sides are equal.
7.
FLASHCARD QUESTION
Front
What is a common mistake when solving rational equations?
Back
A common mistake is failing to check for extraneous solutions, which are values that do not satisfy the original equation.
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