Solving Proportions (OL)

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

You can determine if two ratios are proportional by cross-multiplying and checking if the products are equal.

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 and vice versa, then comparing the two products.

Front

If \( \frac{a}{b} = \frac{c}{d} \), what is the cross-multiplication equation?

Back

The cross-multiplication equation is \( a \cdot d = b \cdot c \).

Front

What is the first step to solve a proportion?

Back

The first step to solve a proportion is to set the two ratios equal to each other.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable.

Front

What does it mean if two ratios are not proportional?

Back

If two ratios are not proportional, it means that their cross-products are not equal.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is \( \frac{1}{2} = \frac{2}{4} \).

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is \( \frac{1}{2} \neq \frac{3}{4} \).

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the factor by which one quantity is multiplied to obtain another quantity in a proportional relationship.