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 result?

Back

The result 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

If 5/x = 10/20, how do you solve for x?

Back

Cross-multiply to get 5 * 20 = 10 * x, which simplifies to x = 10.

Front

What is the value of k in the proportion 3/k = 6/12?

Back

The value of k is 6.

Front

How can you check if two ratios are proportional?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

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

Back

Cooking recipes often use proportions to adjust ingredient amounts.