Adding and Subtracting Rational Expressions

Flashcard
•
Mathematics
•
9th - 12th 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
How do you add rational expressions with the same denominator?
Back
To add rational expressions with the same denominator, combine the numerators and keep the denominator the same: \( \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c} \).
3.
FLASHCARD QUESTION
Front
What is the first step in adding rational expressions with different denominators?
Back
The first step is to find a common denominator for the rational expressions.
4.
FLASHCARD QUESTION
Front
How do you subtract rational expressions with the same denominator?
Back
To subtract rational expressions with the same denominator, subtract the numerators and keep the denominator the same: \( \frac{a}{c} - \frac{b}{c} = \frac{a - b}{c} \).
5.
FLASHCARD QUESTION
Front
What is the least common denominator (LCD)?
Back
The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more rational expressions.
6.
FLASHCARD QUESTION
Front
How do you find the LCD of \( \frac{1}{x} \) and \( \frac{1}{x^2} \)?
Back
The LCD of \( \frac{1}{x} \) and \( \frac{1}{x^2} \) is \( x^2 \).
7.
FLASHCARD QUESTION
Front
What is the process for adding \( \frac{2}{x} + \frac{3}{x^2} \)?
Back
1. Find the LCD, which is \( x^2 \). 2. Rewrite \( \frac{2}{x} \) as \( \frac{2x}{x^2} \). 3. Add: \( \frac{2x + 3}{x^2} \).
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