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 set the two ratios equal to each other.

Front

If 3/4 = x/16, what is 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 and 5 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 10:5 or simplified to 2:1.

Front

What is the relationship between ratios and proportions?

Back

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

Front

If I need 2 cups of sugar for 3 cakes, how much sugar do I need for 9 cakes?

Back

You need 6 cups of sugar.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.