Ratio Tables, Equivalent Ratios, and Graphs

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:b'.

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 determine if 4:20 is equivalent to 1:5?

Back

You can simplify 4:20 by dividing both numbers by 4, resulting in 1:5, confirming they are equivalent.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form equivalent ratios, helping to visualize relationships.

Front

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

Back

To find a missing number, use the relationship between the known ratios to set up a proportion and solve for the unknown.

Front

What is the purpose of graphing ratios?

Back

Graphing ratios helps visualize the relationship between two quantities, making it easier to see patterns and trends.

Front

What does the point (2, 7) represent in a graph?

Back

The point (2, 7) represents a location on a graph where the x-coordinate is 2 and the y-coordinate is 7.

Front

How many ways can you write a ratio?

Back

You can write a ratio in several ways, including as a fraction, with a colon (a:b), or using the word 'to' (a to b).

Front

What is an example of equivalent ratios?

Back

Examples of equivalent ratios include 1:2, 2:4, and 3:6.

Front

If a ratio is 3:5, what is the equivalent ratio if both numbers are multiplied by 2?

Back

The equivalent ratio is 6:10.