Proportions (for a grade)

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 3/4 = x/12?

Back

The first step is to cross-multiply: 3 * 12 = 4 * x.

Front

What is the solution to the proportion 3/4 = x/12?

Back

x = 9.

Front

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

Back

x = 1.

Front

If 2/5 = x/25, what is x?

Back

x = 10.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used in recipes, scale models, and financial calculations.