8.6A Solve Rational Equations Worksheet

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•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
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.
Tags
CCSS.HSA.REI.A.2
2.
FLASHCARD QUESTION
Front
How do you identify an extraneous solution in rational equations?
Back
To identify an extraneous solution, substitute the solution back into the original equation. If it does not satisfy the equation, it is extraneous.
Tags
CCSS.HSA.REI.A.2
3.
FLASHCARD QUESTION
Front
What is the first step in solving a rational equation?
Back
The first step is to find a common denominator for all the fractions involved in the equation.
Tags
CCSS.HSA.REI.A.2
4.
FLASHCARD QUESTION
Front
What does it mean to clear the fractions in a rational equation?
Back
Clearing the fractions means multiplying both sides of the equation by the least common denominator (LCD) to eliminate the fractions.
Tags
CCSS.HSA.REI.A.2
5.
FLASHCARD QUESTION
Front
What is the least common denominator (LCD)?
Back
The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.
6.
FLASHCARD QUESTION
Front
What is the importance of checking solutions in rational equations?
Back
Checking solutions is important to ensure that the solutions are valid and not extraneous, which can occur due to the manipulation of the equation.
Tags
CCSS.HSA.REI.A.2
7.
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.
Tags
CCSS.HSA.REI.A.2
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