What is the difference between proportional and non-proportional relationships?

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and may not pass through the origin.

How can you determine if a table of values represents a proportional relationship?

A table of values represents a proportional relationship if the ratios of corresponding values are constant.

What is the significance of the slope in a proportional relationship?

In a proportional relationship, the slope of the line represents the constant of proportionality.

What does it mean for a relationship to be linear?

A linear relationship is one that can be represented by a straight line on a graph, indicating a constant rate of change.

How do you write an equation from a word problem involving proportional relationships?

To write an equation from a word problem, identify the quantities involved, determine the constant of proportionality, and express the relationship in the form y = kx.

What is a real-world example of using unit rates?

A real-world example of using unit rates is calculating the price per item when shopping, such as $2 for 3 apples, which gives a unit rate of $0.67 per apple.

What is the importance of understanding proportional relationships?

Understanding proportional relationships is important because they are used in various real-life situations, such as budgeting, cooking, and scaling models.

How can you check if a relationship is proportional using a graph?

You can check if a relationship is proportional using a graph by seeing if the line is straight and passes through the origin.

8th Grade/Proportional Relationships

Flashcard

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Mathematics

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8th Grade

•

Practice Problem

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Hard

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CCSS

7.RP.A.2D, 7.RP.A.2A, 6.RP.A.1

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FLASHCARD QUESTION

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Tags

CCSS.7.RP.A.2A

FLASHCARD QUESTION

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

FLASHCARD QUESTION

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Tags

CCSS.7.RP.A.2D

FLASHCARD QUESTION

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates that the relationship is not proportional.

Tags

CCSS.7.RP.A.2D

FLASHCARD QUESTION

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

FLASHCARD QUESTION

Front

How do you find the constant of proportionality?

Back

The constant of proportionality (k) can be found by dividing the value of y by the value of x in a proportional relationship.

Tags

CCSS.7.RP.A.2B

FLASHCARD QUESTION

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A

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