Direct and Inverse Variation
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is Direct Variation?
Back
Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is the constant of variation.
2.
FLASHCARD QUESTION
Front
What is Inverse Variation?
Back
Inverse variation is a relationship between two variables where the product of the two variables is a constant. It can be expressed as xy = k, where k is the constant.
3.
FLASHCARD QUESTION
Front
Identify the equation of direct variation: y = -2x, y = x + 5, y = rac{1}{x}, y = 3x + 1.
Back
y = -2x
4.
FLASHCARD QUESTION
Front
Identify the equation of inverse variation: y = 3x, y = rac{12}{x}, y = 4x + 1, y = -x.
Back
y = \frac{12}{x}
5.
FLASHCARD QUESTION
Front
What is the constant of variation in the equation y = 5x?
Back
The constant of variation is 5.
6.
FLASHCARD QUESTION
Front
Determine if the following table represents direct variation: (1, 2), (2, 4), (3, 6). What is the constant?
Back
Yes; the constant is 2.
7.
FLASHCARD QUESTION
Front
Determine if the following table represents direct variation: (1, 3), (2, 5), (3, 7).
Back
No
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