Solving Proportions with Expressions

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 3/x = 6/12?

Back

The solution is x = 6.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, often expressed as a fraction.

Front

How can you express a ratio of 2 to 3?

Back

You can express it as 2/3 or 2:3.

Front

What is the relationship between ratios and proportions?

Back

Ratios are used to form proportions, which compare two ratios.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities.