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 terms and then solve for the variable.

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.

Front

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

Back

The cross-multiplication equation is ad = bc.

Front

What is the first step in solving the proportion \\frac{3}{5} = \\frac{x}{40}?

Back

The first step is to cross-multiply to get 3 * 40 = 5 * x.

Front

What is the solution to the equation 5x = 120?

Back

The solution is x = 24.

Front

What does the equation 8x = 648 represent in the context of proportions?

Back

It represents the result of cross-multiplying the ratios in the proportion \\frac{12}{8} = \\frac{x}{54}.

Front

How do you isolate the variable in the equation 15c = 60?

Back

To isolate c, divide both sides by 15, resulting in c = 4.

Front

What is the relationship between the ratios in a proportion?

Back

The ratios in a proportion are equivalent, meaning they represent the same value.

Front

What is the equation derived from the proportion \\frac{6}{y} = \\frac{15}{30}?

Back

The equation derived is 15y = 180.