Solving Proportions

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates that the relationship between the two variables is not proportional.

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication. If a/b = c/d, then a*d = b*c.

Front

What is the solution to the proportion 3/4 = x/12?

Back

x = 9.

Front

What is the definition of a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

If 5/10 = x/20, what is the value of x?

Back

x = 10.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.