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 two ratios and then solve for the unknown variable.

Front

What is cross-multiplication in proportions?

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 ad = bc.

Front

What is the first step in solving the proportion 3/x = 12/16?

Back

The first step is to cross-multiply: 3 * 16 = 12 * x.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship or proportion between quantities.

Front

How can proportions be used in real-life applications?

Back

Proportions can be used in various real-life situations, such as cooking, scaling models, and financial calculations.

Front

What is the value of x in the proportion 5/x = 10/20?

Back

x = 10.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you find a unit rate from a proportion?

Back

To find a unit rate, divide both terms of the ratio by the denominator.