7th Grade - Ratios, Unit Rates, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you have $97.50 for 15 pizzas, divide 97.50 by 15 to find the cost per pizza.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, if you can paint 46 square feet in one hour, the unit rate is 46 square feet per hour.

Front

What is the ratio of boys to girls if there are 3 boys and 4 girls?

Back

The ratio of boys to girls is 3:4.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor. For example, the ratio 14 to 56 simplifies to 1 to 4.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

Front

How do you compare two unit rates?

Back

To compare two unit rates, calculate each unit rate and see which one is larger. The larger unit rate represents a better deal.

Front

What is the unit rate of $4.39 for 11.5 oz of Doritos?

Back

To find the unit rate, divide 4.39 by 11.5, which equals approximately $0.38 per ounce.

Front

If Cindy paints 34 1/2 square feet in 3/4 hour, how many square feet can she paint in one hour?

Back

Cindy can paint 46 square feet in one hour.

Front

What is the ratio of cupcakes to cookies if there are 14 cupcakes and 56 cookies?

Back

The ratio of cupcakes to cookies is 1:4.