Proportions

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

To solve for x in a proportion, cross-multiply the terms and then isolate x.

Front

If a car travels 420 miles in 8 hours, what is its speed in miles per hour?

Back

Speed = Distance/Time = 420 miles / 8 hours = 52.5 miles per hour.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. You can solve for the missing value using this formula.

Front

If x/4 = 3/12, what is the value of x?

Back

x = 4 * (3/12) = 1.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equal.

Front

If 5/15 = x/45, what is the value of x?

Back

x = (5/15) * 45 = 15.

Front

How can you check if two ratios form a proportion?

Back

You can check by cross-multiplying the ratios and seeing if the products are equal.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

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 of flour to sugar is 2:3.