Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per unit' (e.g., miles per hour, dollars per item).

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you earn $200 for 8 hours of work, the unit rate is $200 ÷ 8 hours = $25 per hour.

Front

What is the unit rate of 36 homework assignments graded in 30 minutes?

Back

The unit rate is 36 assignments ÷ 30 minutes = 1.2 assignments per minute.

Front

If a teacher grades 25 homework assignments in 20 minutes, what is the rate in assignments per minute?

Back

The rate is 25 assignments ÷ 20 minutes = 1.25 assignments per minute.

Front

What does it mean if a rate is faster?

Back

A faster rate means that more units are completed in the same amount of time compared to another rate.

Front

What is the ratio of dimes to nickels if there are 10 dimes and 5 nickels?

Back

The ratio of dimes to nickels is 10:5, which simplifies to 2:1.

Front

What is the difference between a rate and a unit rate?

Back

A rate compares two quantities with different units, while a unit rate expresses that comparison per one unit of the second quantity.

Front

If Justin types 408 words in 4 minutes, how many words does he type per minute?

Back

Justin types 408 words ÷ 4 minutes = 102 words per minute.

Front

What is the unit rate of $200 for 8 hours of work?

Back

The unit rate is $200 ÷ 8 hours = $25 per hour.

Front

How do you compare two rates?

Back

To compare two rates, convert them to unit rates and see which one has a higher value.