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

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

Back

The cross-multiplication method states that a * d = b * c.

Front

What is the first step in solving the proportion 2/x = 4/8?

Back

Cross-multiply to get 2 * 8 = 4 * x.

Front

What is the solution to the proportion 2/x = 4/8?

Back

x = 4.

Front

If 5 cups of flour make 3 pies, how many cups are needed for 1 pie?

Back

1.67 cups of flour are needed for 1 pie.

Front

If I have 25 cups of flour, how many pies can I make if 5 cups make 3 pies?

Back

You can make 15 pies.

Front

What is the relationship between ratios and proportions?

Back

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

Front

What is an example of a real-world application of proportions?

Back

Using proportions to adjust a recipe based on the number of servings needed.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.