Ratio and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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 ratio?

Back

To solve for x in a ratio, you can cross-multiply and then isolate x.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 11/10 = 22/x, what is x?

Back

x = 20.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc.

Front

How can you check if two ratios are proportional?

Back

You can check if two ratios are proportional by cross-multiplying and seeing if the products are equal.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and vice versa, as they both represent a comparison of two quantities.

Front

If x/9 = 9/27, what is x?

Back

x = 3.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.