Solving Proportions

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Front

What is the cross product of the ratios a/b and c/d?

Back

The cross product is ad and bc; if ad = bc, the ratios are proportional.

Front

Solve the proportion: 3/4 = x/12.

Back

x = 9.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities.

Front

If a graph is not proportional, what does it indicate?

Back

It indicates that the relationship between the variables is not constant.

Front

Solve the proportion: 5/x = 15/3.

Back

x = 1.

Front

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

Back

If a/b = c/d, then ad = bc.

Front

How can you check if a set of ratios is proportional?

Back

You can check by calculating the cross products and seeing if they are equal.