Operations with Rational Expressions Flashcard

Flashcard
•
Mathematics
•
10th 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.
Tags
CCSS.HSA.APR.D.7
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 with that denominator, and then combine the numerators.
Tags
CCSS.HSA.APR.D.7
3.
FLASHCARD QUESTION
Front
What is the least common denominator (LCD)?
Back
The least common denominator (LCD) is the smallest expression that can be used as a common denominator for a set of rational expressions.
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
What is the process for subtracting rational expressions?
Back
Similar to addition, subtracting rational expressions involves finding a common denominator, rewriting each expression, and then subtracting the numerators.
Tags
CCSS.HSA.APR.D.7
5.
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
6.
FLASHCARD QUESTION
Front
What does it mean to multiply rational expressions?
Back
Multiplying rational expressions involves multiplying the numerators together and the denominators together, then simplifying if possible.
Tags
CCSS.HSA.APR.D.7
7.
FLASHCARD QUESTION
Front
What is the formula for adding two rational expressions?
Back
For two rational expressions \( \frac{a}{b} + \frac{c}{d} \), the formula is \( \frac{ad + bc}{bd} \).
Tags
CCSS.HSA.APR.D.7
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