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Algebra 1 Team Decathlon -- Event #8

Algebra 1 Team Decathlon -- Event #8

Assessment

Flashcard

Mathematics

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

If y varies directly as x, and y = 10 when x = 8, what is the constant of variation (k)?

Back

k = \frac{y}{x} = \frac{10}{8} = 1.25.

3.

FLASHCARD QUESTION

Front

If Maria typed 165 words in 3 minutes, how many words would she type in 1 minute?

Back

Maria types 55 words in 1 minute (165 words / 3 minutes).

4.

FLASHCARD QUESTION

Front

If y varies directly as x, and y = 50 when x = 40, what is the value of x when y = 10?

Back

x = \frac{y}{k} = \frac{10}{1.25} = 8.

5.

FLASHCARD QUESTION

Front

Which of the following represents a direct variation: {(1,12), (2, 6), (3, 4), (4, 3)} or {(4, 2), (6, 3), (8, 4), (10, 5)}?

Back

{(4, 2), (6, 3), (8, 4), (10, 5)} represents a direct variation.

6.

FLASHCARD QUESTION

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

7.

FLASHCARD QUESTION

Front

If 15 miles is represented by 3 centimeters on a map, how many centimeters represent 135 miles?

Back

27 cm (using the ratio \frac{3 cm}{15 miles} = \frac{x cm}{135 miles}).

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