Solving Proportions

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

Front

What is cross-multiplication in proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is ad = bc.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can proportions be used in real-life applications?

Back

Proportions can be used in various applications such as scaling recipes, converting measurements, and calculating distances.

Front

What is the first step in solving a proportion problem?

Back

Identify the two ratios that are being compared.

Front

What is the significance of the variable in a proportion?

Back

The variable represents an unknown quantity that can be solved using the relationship established by the proportion.

Front

What is an example of a proportion?

Back

An example of a proportion is 1/2 = 3/6.

Front

How can you check if your solution to a proportion is correct?

Back

You can check your solution by substituting the value back into the original proportion to see if both sides are equal.