Solving Proportions Practice

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 two ratios and set the products equal to each other.

Front

If 1 cm on a map represents 25 km, how do you find the distance represented by 7 cm?

Back

Multiply 7 cm by 25 km/cm to get 175 km.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per 1 unit.

Front

If Jeff runs 6 miles in 4 hours, what is his speed in miles per hour?

Back

His speed is 1.5 miles per hour (6 miles ÷ 4 hours).

Front

How do you find the time it takes to run a certain distance at a constant speed?

Back

Use the formula: Time = Distance ÷ Speed.

Front

If Mary runs 2 miles in 23 minutes, how long will it take her to run 10 miles?

Back

It will take her 115 minutes (10 miles ÷ (2 miles/23 minutes) = 115 minutes).

Front

What is the formula for finding the equivalent ratio?

Back

The formula is: a/b = c/d, where a, b, c, and d are numbers.

Front

If Sara types 90 words in 4 minutes, how many words can she type in 10 minutes?

Back

She can type 225 words (90 words ÷ 4 minutes = 22.5 words/minute; 22.5 words/minute × 10 minutes = 225 words).

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.