Rates and Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 5:7), as a fraction (e.g., 5/7), or in words (e.g., 5 to 7).

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, often expressed as 'per' (e.g., miles per hour).

Front

How do you find the better buy when comparing prices?

Back

To find the better buy, calculate the unit price for each option and compare them; the lower unit price is the better buy.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is a ratio table?

Back

A ratio table is a table that shows equivalent ratios, often used to find missing values.

Front

How do you calculate a unit rate from a graph?

Back

To calculate a unit rate from a graph, determine the slope of the line, which represents the change in the dependent variable per unit change in the independent variable.