Scale Drawings/Unit Rates, Ratios, Better Buy Practice

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if 6 apples cost $3, the unit rate is $0.50 per apple.

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if a box of 35 diapers costs $6.99, the unit rate is $6.99 ÷ 35 = $0.20 per diaper.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. It can be expressed as a fraction, with a colon, or with the word 'to'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, the ratio 18:3 simplifies to 6:1.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged. The scale indicates the ratio of the drawing's dimensions to the actual dimensions.

Front

How do you calculate actual distance from a scale drawing?

Back

To calculate the actual distance, multiply the distance on the drawing by the scale factor. For example, if 1 inch on the drawing equals 300 miles, then 3 inches equals 3 x 300 = 900 miles.

Front

What does the scale 2 cm = 10 m mean?

Back

This scale means that every 2 centimeters on the drawing represents 10 meters in reality.

Front

How do you convert measurements using a scale?

Back

To convert measurements using a scale, set up a proportion based on the scale. For example, if the scale is 2 cm = 10 m, then 1 cm = 5 m.

Front

What are the actual dimensions if a scale drawing shows 9 cm × 10 cm and the scale is 6 cm = 12 ft?

Back

To find the actual dimensions, first convert the scale: 1 cm = 2 ft. Then, multiply the drawing dimensions by the scale: 9 cm x 2 ft/cm = 18 ft and 10 cm x 2 ft/cm = 20 ft.

Front

What is the first step in solving a problem involving unit rates?

Back

The first step is to identify the total cost and the quantity to find the unit rate.