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 the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are the values in the proportion.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) represents a starting point where both quantities are zero, indicating a direct relationship.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio between two quantities.

Front

How do you find the unit rate from a proportion?

Back

To find the unit rate, divide both quantities in the ratio by the same number to simplify it to a ratio of 1.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find an unknown.

Front

What is an example of a real-world application of proportions?

Back

Cooking recipes often use proportions to scale ingredients based on the number of servings.