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 set the products equal to each other.

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 known values.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity, and they can be used to set up proportions.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to solve problems involving scaling, such as recipes, maps, and conversions.

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 a missing value.

Front

What is a direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, often expressed as y = kx.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Front

What is the significance of equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities, and they are fundamental in solving proportions.

Front

How can you use proportions to find percentages?

Back

You can set up a proportion where the part is compared to the whole to find the percentage.