Understanding Proportional Relationships Mini-Test

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal. For example, for ratios \( \frac{a}{b} \) and \( \frac{c}{d} \), they form a proportion if \( a \times d = b \times c \).

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a total amount earned over a period of time?

Back

To find the unit rate, divide the total amount earned by the number of time units. For example, if you earn $80 in 5 days, the unit rate is \( \frac{80}{5} = 16 \) dollars per day.

Front

What does it mean for a table to represent a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in the other column is constant.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF).

Front

What is the simplest form of the ratio 3 years to 6 months?

Back

The simplest form of the ratio 3 years to 6 months is 6:1.

Front

What is the formula to find the unit rate of a recipe?

Back

To find the unit rate in a recipe, divide the amount of one ingredient by the amount of another ingredient. For example, if a recipe requires \( \frac{3}{4} \) cup of sugar for every \( \frac{1}{2} \) cup of flour, the unit rate is \( \frac{\frac{3}{4}}{\frac{1}{2}} = \frac{3}{2} \).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

How can you tell if a set of ratios is proportional?

Back

You can tell if a set of ratios is proportional by checking if the cross products are equal or if the ratios simplify to the same value.