Proportions

What is a proportion?

• A single fraction

• Two ratios that are equivalent

• A ratio comparing two different units

• A method for simplifying fractions

Besides having the same value, what other condition must two ratios meet to form a proportion?

• They must have different units on the top and bottom

• They must represent different amounts

• They must have the same units on the top and bottom

• They must be written as decimals

What is a primary use of proportions in mathematics?

• To convert fractions to decimals

• To find an unknown value from known values

• To simplify complex equations

• To compare two unrelated quantities

What mathematical procedure is used to find an unknown number in a proportion when three numbers are known?

• Addition and subtraction

• Division

• Cross multiplying

• Factoring

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If 1/2 = 23/n, what is the value of n?

• 23

• 46

• 11.5

• 2

What is a scaled drawing?

• A drawing that is always smaller than the real object.

• A drawing that is always larger than the real object.

• A drawing that is either larger or smaller than the real object, but remains proportional.

• A drawing that changes the proportions of the real object.

A map has a scale where 5 cm represents 9 miles. If the distance between two points on the map is 20 cm, which proportion can be used to find the actual distance 'n' in miles?

• 9 mi / 5 cm = n mi / 20 cm

• 5 cm / 9 mi = n mi / 20 cm

• 9 mi / 20 cm = n mi / 5 cm

• 5 cm / n mi = 9 mi / 20 cm

Using the proportion 9/5 = n/20, what is the value of 'n'?

• 180

• 45

• 36

• 20