Ratios and Unit Rates Flashcard

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item, typically resulting in a value per one unit of the first item.

Front

What is the formula to find the cost per unit?

Back

Cost per unit = Total cost / Number of units.

Front

If a car travels 70 miles in 1 hour, what is its unit rate in miles per hour?

Back

The unit rate is 70 miles per hour.

Front

What is the ratio of 15 cats to 8 dogs expressed in simplest form?

Back

The ratio is 15:8.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What operation is used to solve for the time taken when distance and speed are known?

Back

Division is used to solve for time, using the formula: Time = Distance / Speed.

Front

What is a unit rate in the context of speed?

Back

A unit rate in the context of speed is the distance traveled per unit of time, typically expressed in miles per hour.