7th grade Ratio and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, 405 rotations in 5 minutes: 405 ÷ 5 = 81 rotations per minute.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are equivalent. This means that as one quantity increases, the other quantity increases at a constant rate.

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, if a/b = c/d, then a*d = b*c.

Front

What is a ratio?

Back

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

Front

What is the formula for finding the cost per person?

Back

To find the cost per person, divide the total cost by the number of people. For example, $39 for 6 people: $39 ÷ 6 = $6.50 per person.

Front

How do you solve for an unknown in a proportional relationship?

Back

To solve for an unknown in a proportional relationship, set up a proportion and cross-multiply to find the missing value.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the factor that relates two proportional quantities. It is the ratio of one quantity to the other.

Front

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

Back

You can check if a set of ratios is proportional by simplifying each ratio to see if they are equivalent.