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 for x in a proportion?

Back

The first step is to cross-multiply the terms.

Front

If 3/4 = x/16, what is the value of x?

Back

x = 12.

Front

How can you check if two ratios are proportional?

Back

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

Front

If I have 10 apples for every 2 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 5:1.

Front

If I need 4 cups of sugar for 2 cakes, how much sugar do I need for 5 cakes?

Back

You need 10 cups of sugar.

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is a/b = c/x, where x is the missing value.

Front

If 5/8 = x/32, how do you find x?

Back

Cross-multiply to get 5*32 = 8*x, then solve for x.