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 two ratios and then solve for the unknown variable.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions.

Front

If 2/3 = x/9, what is x?

Back

x = 6.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the relationship between a, b, c, and d?

Back

The relationship is that a * d = b * c.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when two quantities do not maintain a constant ratio.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

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.

Front

What is the unit rate?

Back

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