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 is the first step in solving the proportion 3/x = 6/12?

Back

The first step is to cross-multiply, resulting in 3 * 12 = 6 * x.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

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

Back

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

Front

What is the value of x in the proportion 4/x = 2/8?

Back

x = 16.

Front

What is a real-world example of using proportions?

Back

A real-world example is scaling a recipe, where the ratio of ingredients must remain constant.

Front

What is the relationship between ratios and proportions?

Back

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