Unit Rates, Ratios, Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. It can be expressed in various forms such as a fraction, with a colon, or with the word 'to'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you determine if two ratios form a proportion?

Back

To determine if two ratios form a proportion, cross-multiply and check if the products are equal. If a/b = c/d, then check if a*d = b*c.

Front

Solve for x: 3/4 = x/12

Back

x = 9

Front

Solve the proportion: 5/10 = x/20

Back

x = 10

Front

What is the ratio of 3 apples to 5 oranges?

Back

The ratio is 3:5.

Front

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

Back

The ratio of flour to sugar is 2:3.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

If 4 pencils cost $2, what is the unit rate per pencil?

Back

The unit rate is $0.50 per pencil.