Multiplying and Dividing Rational Expressions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational expression?
Back
A rational expression is a fraction where both the numerator and the denominator are polynomials.
2.
FLASHCARD QUESTION
Front
How do you simplify a rational expression?
Back
To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
What is the first step in adding rational expressions?
Back
The first step is to find a common denominator.
Tags
CCSS.HSA.APR.D.7
4.
FLASHCARD QUESTION
Front
What is the formula for multiplying two rational expressions?
Back
To multiply two rational expressions, multiply the numerators together and the denominators together.
Tags
CCSS.HSA.APR.D.7
5.
FLASHCARD QUESTION
Front
What is the process for dividing rational expressions?
Back
To divide rational expressions, multiply by the reciprocal of the divisor.
Tags
CCSS.HSA.APR.D.6
6.
FLASHCARD QUESTION
Front
What does GCF stand for and why is it important in simplifying expressions?
Back
GCF stands for Greatest Common Factor; it is important because factoring out the GCF can simplify the expression.
7.
FLASHCARD QUESTION
Front
What is the result of dividing the rational expression \( \frac{x^2-4x-5}{x^2-3x+2} \) by \( \frac{x^2-3x-10}{x^2-4} \)?
Back
The result is \( \frac{x+1}{x-1} \).
Tags
CCSS.HSA.APR.D.6
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