Ratio Tables, Equivalent Ratios, and Graphs

Front

What is a ratio?

Back

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

Front

What does it mean for two ratios to be equivalent?

Back

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

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios.

Front

If the ratio of apples to oranges is 2:3, how many oranges are there if there are 10 apples?

Back

There are 15 oranges.

Front

What is the purpose of a graph in representing ratios?

Back

A graph visually represents the relationship between two quantities, making it easier to see trends and patterns.

Front

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

Back

To find a missing value, use equivalent ratios to set up a proportion and solve for the unknown.

Front

What is the coordinate point (5,3) in a graph?

Back

The coordinate point (5,3) represents a location on the graph where the x-value is 5 and the y-value is 3.

Front

What is the first step to create a ratio table?

Back

Identify the two quantities you want to compare and determine their relationship.

Front

How can you check if two ratios are equivalent?

Back

Cross-multiply the ratios; if the products are equal, the ratios are equivalent.