Ratios, Rates, and Proportions Test

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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is the ratio of 10 to 14 in lowest terms?

Back

5 to 7.

Front

What is a rate?

Back

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

Front

How do you find a missing value in a proportion?

Back

Cross-multiply the known values and solve for the unknown.

Front

What is a proportion?

Back

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

Front

If x:y = 2:9 and x = 18, what is y?

Back

y = 81.

Front

What is the extended ratio of the sides of a triangle with lengths 2:4:7?

Back

The extended ratio indicates the relative sizes of the sides, which can be used to find actual lengths if the perimeter is known.

Front

If a recipe requires 600 g of flour for 2.5 dozen muffins, how much flour is needed for 45 muffins?

Back

900 g of flour.

Front

What is the ratio of birds to snakes if there are 4 birds and 6 snakes?

Back

The ratio is 2:3.