Direct, Joint, Inverse and Combined Variation

Direct, Joint, Inverse and Combined Variation

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
HSF-LE.A.1B

Standards-aligned

Created by

Wayground Content

FREE Resource

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16 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 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 y = k/x, where k is a non-zero constant.

3.

FLASHCARD QUESTION

Front

What is joint variation?

Back

Joint variation is a relationship where a variable varies directly as the product of two or more other variables. It can be expressed as y = kxz, where k is a non-zero constant, and x and z are the other variables.

4.

FLASHCARD QUESTION

Front

What is combined variation?

Back

Combined variation is a relationship that involves both direct and inverse variation. It can be expressed as y = kx/z, where k is a non-zero constant.

5.

FLASHCARD QUESTION

Front

If f varies directly as g and inversely as h, how can you express this relationship mathematically?

Back

f = k(g/h), where k is a constant.

6.

FLASHCARD QUESTION

Front

If y varies directly as x and y = 39 when x = 3, what is the value of y when x = 2?

Back

y = 26.

7.

FLASHCARD QUESTION

Front

If y varies jointly as x and z, and y = -180 when z = 15 and x = -3, what is the value of y when x = 7 and z = -5?

Back

y = -140.

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