Ratio Tables 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

How do you simplify a ratio?

Back

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

Front

What does a ratio table represent?

Back

A ratio table is a table that displays pairs of numbers that have a constant ratio, helping to visualize relationships between quantities.

Front

What is the purpose of a line graph?

Back

A line graph is used to show how a quantity changes over time, illustrating trends and relationships between variables.

Front

How do you find the ratio of two quantities from a word problem?

Back

Identify the two quantities being compared, then express them as a fraction or in the form 'a:b'.

Front

What is the ratio of 8 to 5?

Back

The ratio of 8 to 5 is expressed as 8:5.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if a ratio is in lowest terms?

Back

A ratio is in lowest terms when it cannot be simplified any further, meaning the numerator and denominator have no common factors other than 1.

Front

How can you represent a ratio graphically?

Back

You can represent a ratio graphically using a line graph, where one variable is plotted against another to show their relationship.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, often written as 'a:b = c:d'.