What is a rational expression?

adding and subtracting ratiional expressions

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A rational expression is a fraction where the numerator and the denominator are both polynomials.
2.
FLASHCARD QUESTION
Front
How do you find the least common denominator (LCD) of rational expressions?
Back
To find the LCD, factor each denominator and take the highest power of each factor present in any of the denominators.
3.
FLASHCARD QUESTION
Front
What is the least common denominator of \( \frac{1}{6} \) and \( \frac{1}{3} \)?
Back
The least common denominator is 6.
4.
FLASHCARD QUESTION
Front
What is the first step in adding rational expressions?
Back
The first step is to find a common denominator for the fractions.
5.
FLASHCARD QUESTION
Front
How do you add \( \frac{1}{x+3} + \frac{1}{x-7} \)?
Back
Find the LCD, which is \( (x+3)(x-7) \), then rewrite each fraction with the LCD and combine.
6.
FLASHCARD QUESTION
Front
What is the formula for adding two fractions \( \frac{a}{b} + \frac{c}{d} \)?
Back
The formula is \( \frac{ad + bc}{bd} \).
7.
FLASHCARD QUESTION
Front
What is the common denominator when adding \( \frac{1}{x+3} + \frac{1}{x-7} \)?
Back
The common denominator is \( (x+3)(x-7) \).
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