Ratios, Rates, and Proportions

Front

What is a ratio?

Back

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

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin, it indicates a proportional relationship between the two variables.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, often used to compare prices or speeds.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 students in total?

Back

There are 12 boys.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If 5 apples cost $2, what is the cost per apple?

Back

The cost per apple is $0.40.

Front

How do you simplify the ratio 10:15?

Back

The simplified ratio is 2:3.