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 does it mean if two ratios form a proportion?

Back

It means that the two ratios are equivalent, or that they represent the same relationship.

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 3/x = 6/12?

Back

Cross-multiply to get 3*12 = 6*x.

Front

What is the solution to the proportion 4/x = 8/16?

Back

x = 2.

Front

If 5/10 = x/20, what is the value of x?

Back

x = 10.

Front

What is the relationship between equivalent fractions and proportions?

Back

Equivalent fractions represent the same value and can be used to form proportions.

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 an example of a real-world situation that can be modeled with proportions?

Back

If a recipe calls for 2 cups of flour for 4 servings, how much flour is needed for 10 servings?