7.3 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

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 2/3 = x/9?

Back

Cross-multiply to get 2 * 9 = 3 * x.

Front

What is the solution to the proportion 2/3 = x/9?

Back

x = 6.

Front

If I need 5 cups of flour to make 3 pies, how many cups of flour do I need for 1 pie?

Back

You need 5/3 cups of flour for 1 pie.

Front

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

Back

You can make 15 pies.

Front

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

Back

k = 8.

Front

What is the relationship between ratios and proportions?

Back

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

Front

How can proportions be used in real-life situations?

Back

Proportions can be used in cooking, scaling recipes, and in financial calculations.