ratios, rates and unit rates

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 to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles in 1 hour).

Front

How do you find the price per item?

Back

To find the price per item, divide the total cost by the number of items.

Front

If 120 calories are in 2 servings, how many calories are in 1 serving?

Back

60 calories (120 calories ÷ 2 servings = 60 calories per serving).

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares one part of a whole to another part of the same whole, such as the ratio of boys to girls in a class.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares one part of a whole to the entire whole, such as the ratio of boys to all students in a class.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

Front

What is the formula for calculating speed?

Back

Speed = Distance ÷ Time.

Front

If a family buys 4 concert tickets for $252, what is the price per ticket?

Back

$63.00 (Total cost $252 ÷ 4 tickets = $63 per ticket).