Ratios/Rates/Unit Rate

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What is the ratio of girls to boys if there are 9 girls and 7 boys?

Back

The ratio of girls to boys is 9 to 7.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' (e.g., miles per hour).

Front

How do you find a constant rate of change from a table?

Back

To find a constant rate of change, divide the change in the dependent variable by the change in the independent variable for any two points.

Front

If a call costs $0.10 per minute, what is the cost for 15 minutes?

Back

The cost for 15 minutes would be $1.50 (15 minutes x $0.10 per minute).

Front

What is the ratio of blue marbles to red marbles if there are 3 blue and 7 red?

Back

The ratio of blue marbles to red marbles is 3:7.

Front

What does it mean if a ratio is written incorrectly?

Back

It means that the relationship between the two quantities is not accurately represented, which can lead to misunderstandings or errors in calculations.

Front

What is the significance of the term 'rate' in mathematics?

Back

In mathematics, a rate is a specific kind of ratio that compares two different kinds of quantities, often involving time.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.