Simplifying, Multiplying and Dividing Rational Expressions

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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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
What does it mean to simplify a rational expression?
Back
Simplifying a rational expression means to reduce it to its simplest form by canceling common factors in the numerator and denominator.
3.
FLASHCARD QUESTION
Front
What is the first step in simplifying a rational expression?
Back
The first step is to factor both the numerator and the denominator completely.
4.
FLASHCARD QUESTION
Front
How do you identify restrictions in rational expressions?
Back
Restrictions are values that make the denominator zero. Set the denominator equal to zero and solve for x.
5.
FLASHCARD QUESTION
Front
Back
@@rac{(x-3)(x+3)}{(x-3)(x-3)} = rac{x+3}{x-3}, x e 3@@.
6.
FLASHCARD QUESTION
Front
What is the result of multiplying two rational expressions?
Back
To multiply two rational expressions, multiply the numerators together and the denominators together, then simplify.
7.
FLASHCARD QUESTION
Front
Back
@@rac{2(x+6)}{x+2}, x e -2, 0@@.
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