Ratio and Unit Rate Review!

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $8 per pound.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, you calculate the unit rate by dividing 40 by 5, which equals $8 per pound.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 4 triangles to 3 squares is written as 4:3.

Front

How can a ratio be expressed?

Back

A ratio can be expressed in three ways: as a fraction (4/3), with a colon (4:3), or with the word 'to' (4 to 3).

Front

What is the ratio of quarters to dimes if there are 8 quarters and 10 dimes?

Back

The ratio of quarters to dimes is 8:10, which can be simplified to 4:5.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor. For example, to simplify the ratio 8:10, divide both by 2 to get 4:5.

Front

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

Back

A ratio compares two quantities, while a unit rate expresses one quantity in relation to one unit of another quantity. For example, a ratio of 4:3 compares triangles to squares, while a unit rate of $8 per pound tells you the cost of one pound of concrete.

Front

If the temperature dropped 27 degrees over 3 days, how do you find the daily drop?

Back

To find the daily drop, divide the total drop by the number of days. In this case, 27 degrees ÷ 3 days = 9 degrees per day.

Front

What does it mean if a ratio is expressed as 2:6?

Back

It means for every 2 of the first quantity, there are 6 of the second quantity. This can also be simplified to 1:3.

Front

Can a ratio be written in different forms?

Back

Yes, a ratio can be written in different forms such as fractions, with a colon, or with the word 'to'. For example, the ratio 4:3 can be written as 4/3 or 4 to 3.