Unit rate and proportions test

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount of one quantity by the total amount of the other quantity. For example, if you earn $96 for mowing 8 lawns, the unit rate is $96 ÷ 8 = $12 per lawn.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 12:3 can be simplified to 4:1.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or unit rate. This means that as one quantity increases, the other quantity increases at the same rate.

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 can you identify a proportional relationship from a graph?

Back

A proportional relationship on a graph will be represented by a straight line that passes through the origin (0,0).

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.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented by 'k' in the equation y = kx.

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

The unit rate is 60 miles per hour.