Ratio Tables and Unit Rates Flashcard

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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' something (e.g., miles per hour).

Front

How do you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, use the relationship between the known values and apply equivalent ratios.

Front

What is the purpose of a ratio table?

Back

A ratio table is used to organize and compare ratios, making it easier to see relationships and find equivalent ratios.

Front

If the ratio of apples to oranges is 3:2, how many oranges are there if there are 12 apples?

Back

There are 8 oranges. (12 apples ÷ 3 = 4; 4 × 2 = 8 oranges)

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How can you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide both quantities by the quantity of one of the items to find the amount per one unit.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 50 miles per hour. (150 miles ÷ 3 hours = 50 miles/hour)

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.