Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the cross product of the ratios a/b and c/d?

Back

The cross product is ad and bc; if ad = bc, then the ratios are proportional.

Front

If 5/6 = x/12, how do you solve for x?

Back

Cross multiply: 5 * 12 = 6 * x, so x = 10.

Front

What is the formula to find a missing value in a proportion?

Back

If a/b = c/d, then ad = bc; you can solve for the missing value.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship or proportion.

Front

How can you write a proportion from a word problem?

Back

Identify the two ratios in the problem and set them equal to each other.

Front

What is the first step in solving a proportion?

Back

Identify the known values and the unknown variable.

Front

If a student scores 50% on a 60-point test, how many points did they score?

Back

Set up the proportion: p/60 = 50/100, then solve for p, which is 30.

Front

What is the relationship between fractions and proportions?

Back

Fractions can be expressed as ratios, and proportions compare two fractions.