Proportions Word Problems Review

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms. For example, if a/b = c/d, then ad = bc.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a word problem?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 5 apples cost $10, the unit rate is $10/5 = $2 per apple.

Front

What is a scale in a map?

Back

A scale is a ratio that compares a distance on the map to the actual distance on the ground. For example, a scale of 1 cm : 13 miles means 1 cm on the map represents 13 miles in reality.

Front

How do you set up a proportion for a word problem involving distance and scale?

Back

Identify the known quantities and their units, then set up a proportion comparing the map distance to the actual distance using the scale.

Front

If 4 bunches of grapes cost $10, how much do 10 bunches cost?

Back

Front

If 13 out of 20 homes have a computer, how many homes on a street of 60 homes have a computer?

Back

Front

If a 12-ounce bottle of shampoo lasts 16 weeks, how long would an 18-ounce bottle last?

Back

Front

What is the first step in solving a word problem involving proportions?

Back

The first step is to identify the quantities involved and determine the relationship between them.