Solve Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

If a/b = c/d, what are a and d called?

Back

a and d are called the extremes of the proportion.

Front

If a/b = c/d, what are b and c called?

Back

b and c are called the means of the proportion.

Front

What is the Cross Product Property?

Back

The Cross Product Property states that in a proportion, the product of the extremes is equal to the product of the means (a*d = b*c).

Front

How do you solve for x in a proportion?

Back

To solve for x in a proportion, use the Cross Product Property to set up an equation and solve for x.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

If 3/4 = x/16, what is x?

Back

x = 12.

Front

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

Back

The formula is (a/b) = (c/x), where x is the missing value.

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.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.