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 solve for the unknown variable.

Front

What does cross-multiplication involve?

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/9?

Back

The first step is to cross-multiply: 2 * 9 = 3 * x.

Front

What is the solution to the proportion 2/3 = x/9?

Back

x = 6.

Front

If 4/x = 2/8, how do you solve for x?

Back

Cross-multiply to get 4 * 8 = 2 * x, which simplifies to 32 = 2x, so x = 16.

Front

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

Back

x = 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 in recipes to adjust ingredient amounts based on serving sizes.