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Proportional Relationships Flashcard

Proportional Relationships Flashcard

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Nichole McGaughey

FREE Resource

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8 questions

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1.

FLASHCARD QUESTION

Front

This graph shows a proportional relationship between the number of pages Sally reads and the time she takes in minutes. Which statement identifies the correct slope and the correct interpretation of the slope for this situation? Options: The slope of the line is 1/2, so Sally reads 0.5 of a page every minute. The slope of the line is 1/2, so Sally reads 2 pages every minute. The slope of the line is 2/1, so Sally reads 0.5 of a page every minute. The slope of the line is 2/1, so Sally reads 2 pages every minute.

Media Image

Back

The slope of the line is 1/2, so Sally reads 0.5 of a page every minute.

Answer explanation

The slope of 1/2 indicates that for every minute, Sally reads 0.5 pages. This means she reads half a page each minute, confirming the correct choice.

2.

FLASHCARD QUESTION

Front

Line t has slope 3/4 and passes through (0, 0). Start at (0, 0), move right 8 units. How many units up is line t?

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Back

6

Answer explanation

The slope of line t is 3/4. Moving right 8 units means we increase x by 8. The corresponding increase in y is (3/4) * 8 = 6. Thus, from (8, 0), line t is 6 units up.

3.

FLASHCARD QUESTION

Front

Equation of the line in the form y = mx where m is the slope.

Media Image

Back

y=3x

Answer explanation

The equation of a line in the form y = mx indicates that m is the slope. The correct answer is y = 3x, where the slope m is 3.

4.

FLASHCARD QUESTION

Front

Equation of the line in the form y = mx + b where m is the slope and b is the y-intercept.

Media Image

Back

y = 3x - 2

Answer explanation

The equation y=3x-2 is in the form y=mx+b, where m (slope) is 3 and b (y-intercept) is -2. This matches the required format, confirming it as the correct answer.

5.

FLASHCARD QUESTION

Front

Equation showing a distance per hour that is 2 times more than the distance Paul covered per hour.

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Back

d = 8h

Answer explanation

To find the equation showing a distance per hour that is 2 times more than Paul's distance per hour, we need to double the coefficient of h. If Paul covers 4h, then 2 times that is 8h, making d = 8h the correct choice.

6.

FLASHCARD QUESTION

Front

Equation of the line in the form y = mx + b

Media Image

Back

y = 3/2x - 2

Answer explanation

The equation y=3/2x-2 is in the form y=mx+b, where m (slope) is 3/2 and b (y-intercept) is -2. This matches the required format, confirming it as the correct answer.

7.

FLASHCARD QUESTION

Front

Equation representing the relationship between cookies sold (c) and profit earned (p).

Media Image

Back

p=1/2c

Answer explanation

The equation p=1/2c suggests that for every 2 cookies sold, the profit is 1 unit. However, the question asks for an equation that represents the relationship, and since no specific equation is provided, the correct answer is 0.

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