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 terms and then isolate the variable.

Front

What does cross-multiplication mean?

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 equation?

Back

The cross-multiplication equation is a*d = b*c.

Front

What is the first step in solving the proportion 2/3 = x/6?

Back

The first step is to cross-multiply: 2 * 6 = 3 * x.

Front

What is the solution to the proportion 2/3 = x/6?

Back

The solution is x = 4.

Front

What is the value of x in the proportion 5/x = 15/3?

Back

The value of x is 1.

Front

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

Back

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

Front

What is an example of a real-world application of proportions?

Back

Proportions can be used to determine the scale of a map or to adjust a recipe.

Front

What is the relationship between ratios and proportions?

Back

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