Proportional Equations

Front

What is a proportional equation?

Back

A proportional equation is an equation that states two ratios are equal, typically expressed in the form a/b = c/d, where a, b, c, and d are numbers.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

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 the unknown variable.

Front

If 3/x = 6/12, what is the value of x?

Back

x = 6.

Front

What does it mean if two ratios are proportional?

Back

Two ratios are proportional if they represent the same relationship or have the same value when simplified.

Front

Solve the proportion: 5/x = 15/9.

Back

x = 3.

Front

What is the value of x in the proportion: 8/x = 4/2?

Back

x = 4.

Front

If a/b = c/d, what is the relationship between a, b, c, and d?

Back

The relationship is that the product of a and d equals the product of b and c (ad = bc).

Front

Solve the proportion: 12/x = 3/4.

Back

x = 16.

Front

What is the first step in solving a proportion?

Back

The first step is to cross-multiply the terms.