Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve for x in a proportion?

Back

To solve for x in a proportion, cross-multiply and then isolate x.

Front

If a/b = c/d, what is the cross-multiplication method?

Back

The cross-multiplication method states that a*d = b*c.

Front

What is the formula to find the height of an object using shadows?

Back

Height of object / Length of shadow = Height of another object / Length of its shadow.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, what is the height of a building that casts a shadow of 24 feet?

Back

32 feet.

Front

How do you set up a proportion for similar figures?

Back

Set up a proportion by equating the ratios of corresponding sides.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together.

Front

If a shop produces 39 wetsuits every 2 weeks, how many wetsuits does it produce in one week?

Back

19.5 wetsuits.

Front

How do you find the total time to produce a certain number of items?

Back

Total time = (Total items / Items produced per time period) x Time period.

Front

If a car travels 280 miles in 7 hours, what is its speed in miles per hour?

Back

40 miles per hour.