ratios 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 proportion?

Back

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

Front

How do you determine if two ratios form a proportion?

Back

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

Front

What is the ratio of 4 birds to 6 snakes?

Back

4/6 or simplified to 2/3.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

Solve the proportion: 4/x = 2/8. What is x?

Back

x = 16.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

$8 per pound.

Front

What is the cross product of the ratios 3/4 and 6/8?

Back

The cross product is 3*8 = 24 and 4*6 = 24, so they are equal.

Front

What is the simplified form of the ratio 10:15?

Back

2:3.