Unit 4: Rational Functions Flashcard

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational function?
Back
A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.
2.
FLASHCARD QUESTION
Front
How do you find the combined work rate of two people working together?
Back
To find the combined work rate, add their individual rates. If person A can complete a task in time A and person B in time B, their combined rate is 1/A + 1/B.
3.
FLASHCARD QUESTION
Front
What is the formula for distance when speed and time are known?
Back
Distance = Speed × Time.
4.
FLASHCARD QUESTION
Front
How do you set up an equation for a boat's speed in still water given current speed?
Back
Let x be the speed of the boat in still water. The effective speed downstream is (x + current speed) and upstream is (x - current speed). Use these to set up the equation.
5.
FLASHCARD QUESTION
Front
What is the process for adding rational expressions?
Back
To add rational expressions, find a common denominator, rewrite each expression with that denominator, and then combine the numerators.
6.
FLASHCARD QUESTION
Front
What is the significance of the average speed in a travel problem?
Back
Average speed is crucial for determining travel time and understanding the relationship between distance, speed, and time.
7.
FLASHCARD QUESTION
Front
How do you simplify a rational expression?
Back
To simplify a rational expression, factor the numerator and denominator and cancel out any common factors.
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