Direct Variation

Direct Variation

Assessment

Flashcard

Mathematics

8th - 9th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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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 a non-zero constant.

2.

FLASHCARD QUESTION

Front

What does the constant k represent in Direct Variation?

Back

The constant k represents the constant of variation, indicating how much y changes for a unit change in x.

3.

FLASHCARD QUESTION

Front

If y varies directly with x and y = 12 when x = 3, what is the value of k?

Back

k = y/x = 12/3 = 4.

4.

FLASHCARD QUESTION

Front

If y varies directly with x, and y = 20 when x = 5, what is y when x = 10?

Back

y = kx = 4 * 10 = 40.

5.

FLASHCARD QUESTION

Front

If y varies directly with x, and y = -30 when x = 6, what is y when x = -12?

Back

y = kx = -5 * -12 = 60.

6.

FLASHCARD QUESTION

Front

If y varies directly with x, and y = 0 when x = 0, what can we conclude?

Back

If y = 0 when x = 0, it confirms that the relationship is consistent with direct variation.

7.

FLASHCARD QUESTION

Front

How do you find x when y is given in a direct variation problem?

Back

To find x, rearrange the direct variation equation y = kx to x = y/k.

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