Ratios and Proportions Review

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'.

Front

How do you write a ratio of 3 blue marbles to 5 yellow marbles?

Back

The ratio is written as 3:5.

Front

If 6 machines can polish 42 tables in one hour, what is the ratio of machines to tables?

Back

The ratio is 1:7.

Front

What is a proportion?

Back

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

Front

How do you solve for k in the proportion 3/5 = k/15?

Back

Cross-multiply to find k: 3 * 15 = 5 * k, so k = 9.

Front

What is the ratio of red marbles to total marbles if there are 2 red, 3 blue, and 5 yellow marbles?

Back

The ratio is 2:10 or simplified to 1:5.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio is 2:3.

Front

How do you find a missing value in a proportion?

Back

Set up the proportion and cross-multiply to solve for the missing value.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second is the denominator.

Front

If 4 apples cost $2, what is the unit rate of apples per dollar?

Back

The unit rate is 2 apples per dollar.