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 unknown variable.

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication equation?

Back

The cross-multiplication equation is a * d = b * c.

Front

What is the first step in solving the proportion 3/x = 6/12?

Back

The first step is to cross-multiply: 3 * 12 = 6 * x.

Front

What is the solution to the proportion 3/x = 6/12?

Back

The solution is x = 6.

Front

What is an example of a proportion in real life?

Back

An example is when a recipe is scaled up or down, maintaining the same ratio of ingredients.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equivalent.

Front

How can you check if two ratios form a proportion?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

What is the value of x in the proportion 4/x = 8/16?

Back

The value of x is 2.