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 is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by 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: 3 * 12 = 6 * x.

Front

What is the solution to the proportion 3/x = 6/12?

Back

The solution is x = 6.

Front

If 4/5 = x/20, how do you find x?

Back

Cross-multiply to get 4 * 20 = 5 * x, then solve for x.

Front

What is the value of x in the proportion 4/5 = x/20?

Back

The value of x is 16.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can proportions be used in real life?

Back

Proportions can be used to compare prices, scale models, and convert measurements.