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 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 result?

Back

The result is a*d = b*c.

Front

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

Back

The first step is to cross-multiply: 3*12 = 6*x.

Front

What is the solution to the proportion 4/x = 8/16?

Back

The solution is x = 2.

Front

If 5/10 = x/20, what is the value of x?

Back

x = 10.

Front

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

Back

k = 4.

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

An example is scaling a recipe: if you double the ingredients, the proportions remain the same.