Adding and Subtracting Rational Expressions

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a rational expression?
Back
A rational expression is a fraction where the numerator and the denominator are both polynomials.
2.
FLASHCARD QUESTION
Front
How do you add rational expressions with different denominators?
Back
To add rational expressions with different denominators, find a common denominator, rewrite each expression, and then combine the numerators.
3.
FLASHCARD QUESTION
Front
What is the first step in subtracting rational expressions?
Back
The first step is to find a common denominator for the expressions being subtracted.
4.
FLASHCARD QUESTION
Front
What does it mean to simplify a rational expression?
Back
Simplifying a rational expression means reducing it to its lowest terms by factoring and canceling common factors.
5.
FLASHCARD QUESTION
Front
What is the formula for factoring a quadratic expression?
Back
The formula for factoring a quadratic expression ax^2 + bx + c is to find two numbers that multiply to ac and add to b.
6.
FLASHCARD QUESTION
Front
How do you solve for x in a rational equation?
Back
To solve for x in a rational equation, first eliminate the denominators by multiplying both sides by the least common denominator (LCD), then solve the resulting equation.
7.
FLASHCARD QUESTION
Front
What is the least common denominator (LCD)?
Back
The least common denominator (LCD) is the smallest multiple that is common to all denominators in a set of fractions.
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