(Math 7) Proportional Relationships Unit Review

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 quantity is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity of interest by the number of units. For example, if Mason ran 3 miles in 20 minutes, the unit rate in miles per hour is calculated as (3 miles / (20 minutes * (1 hour / 60 minutes))) = 9 miles per hour.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is the constant of proportionality.

Front

If a copy machine prints 175 pages in 5 minutes, what is the unit rate?

Back

Front

What is the constant of proportionality in the equation y = 8x?

Back

The constant of proportionality is 8.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal or if they can be represented by a straight line through the origin on a graph.

Front

What is the unit rate of 6 miles in 30 minutes?

Back

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.

Front

If y = 3x, what is the value of y when x = 4?

Back

When x = 4, y = 3 * 4 = 12.

Front

What is the equation for a proportional relationship with a constant of 5?

Back

The equation is y = 5x.