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

What does it mean if two quantities are proportional?

Back

If two quantities are proportional, it means that as one quantity changes, the other quantity changes at a constant rate.

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 cross-multiplication equation?

Back

The cross-multiplication equation is 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 identify a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1.

Front

If Mary ran 2 miles in 23 minutes, what is her unit rate in miles per minute?

Back

Her unit rate is 2 miles / 23 minutes = 0.087 miles per minute.

Front

How do you find the time it takes to run a different distance at the same pace?

Back

Use the unit rate to find the time for the new distance by dividing the distance by the unit rate.