5.2 Warm Up

Front

What is a proportion?

Back

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

Front

How can you determine if two rates form a proportion?

Back

To determine if two rates form a proportion, you can cross-multiply and see if the products are equal.

Front

What does it mean if two rates do not form a proportion?

Back

If two rates do not form a proportion, it means that the ratios are not equivalent.

Front

Give an example of two rates that form a proportion.

Back

Example: 1/2 and 2/4 form a proportion because 1 * 4 = 2 * 2.

Front

Give an example of two rates that do not form a proportion.

Back

Example: 1/3 and 2/5 do not form a proportion because 1 * 5 ≠ 2 * 3.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to determine if two fractions are equal by multiplying the numerator of one fraction by the denominator of the other.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

What is the relationship between ratios and proportions?

Back

Proportions are equations that show that two ratios are equal.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that has the same value when simplified.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.