Ratios & Unit Rates Flashcard Review

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 fraction or with a colon (e.g., 3:2).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, typically expressed in terms of 'per' (e.g., miles per hour, dollars per pound).

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you have 40 dollars for 5 pounds of concrete, the unit rate is 40 ÷ 5 = 8 dollars per pound.

Front

What operation is used to find a unit rate?

Back

Division is used to find a unit rate.

Front

If Maria walks 12 miles in 3 hours, how do you find her walking speed in miles per hour?

Back

To find her walking speed, divide the total miles by the total hours: 12 miles ÷ 3 hours = 4 miles per hour.

Front

What is the formula for calculating a ratio?

Back

The formula for calculating a ratio is: Ratio = Quantity A / Quantity B.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the quantities have been reduced to their smallest whole number form, making it easier to understand the relationship between the two quantities.

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 3/2), with a colon (e.g., 3:2), or with the word 'to' (e.g., 3 to 2).

Front

What is the relationship between ratios and proportions?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions in everyday situations.