Solving Proportions

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 terms and then solve for the variable.

Front

If Nathan packs 39 boxes in 3 hours, how many boxes does he pack per hour?

Back

13 boxes per hour.

Front

If Nathan works an 8-hour shift, how many boxes can he pack?

Back

104 boxes.

Front

What is the scale of a drawing?

Back

The scale of a drawing is the ratio of the dimensions in the drawing to the actual dimensions.

Front

If a scale drawing uses a scale of 4 cm:9 ft, what does this mean?

Back

It means that 4 cm in the drawing represents 9 ft in reality.

Front

How do you find the actual length of an object from a scale drawing?

Back

Multiply the length in the drawing by the scale factor.

Front

If a billboard in a drawing is 11 cm long, how do you find its actual length using the scale 4 cm:9 ft?

Back

Actual length = (11 cm * 9 ft) / 4 cm = 24.75 ft.

Front

What does it mean to solve for x in an equation?

Back

It means to find the value of x that makes the equation true.

Front

If x + 5 = 15, what is x?

Back

x = 10.