Ratio and Proportion

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

Front

What is a proportion?

Back

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

Front

How do you solve for x in a proportion?

Back

Cross-multiply the terms and then isolate x.

Front

If a recipe calls for 2 cups of sugar for 3 lemons, how do you find the number of lemons for 6 cups of sugar?

Back

Set up a proportion: 2/3 = 6/x, then cross-multiply and solve for x.

Front

What is the ratio of red to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio of red to yellow is 2 to 5.

Front

If Mike has a ratio of 2 apples to 3 bananas, how many apples does he have if he has 15 bananas?

Back

If the ratio is 2:3, then for 15 bananas, he has 10 apples.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you express the ratio of 4 to 8 in simplest form?

Back

The simplest form of 4 to 8 is 1 to 2.

Front

What is the cross-multiplication method used for?

Back

It is used to solve proportions by multiplying the means and extremes.

Front

If x/4 = 3/12, how do you solve for x?

Back

Cross-multiply to get 12x = 12, then x = 1.