Unit Rates/Proportional Tables & Equations

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 a single unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the two quantities is constant for all pairs of values.

Front

What is a proportional table?

Back

A proportional table lists pairs of numbers that maintain a constant ratio, meaning as one quantity increases, the other quantity increases at a consistent rate.

Front

How do you find the unit rate from a proportional table?

Back

To find the unit rate, divide the value of one quantity by the corresponding value of the other quantity for any pair in the table.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the quantities are not constant, indicating that the relationship between the quantities does not maintain a consistent rate.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

What is the formula for finding the unit rate?

Back

The formula for finding the unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

What is an example of a unit rate in real life?

Back

An example of a unit rate in real life is the price per item, such as $4 for 2 apples, which gives a unit rate of $2 per apple.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the graph passes through the origin (0,0), indicating that when one quantity is zero, the other quantity is also zero.

Front

How can you tell if a complex fraction simplifies to a whole number?

Back

A complex fraction simplifies to a whole number if the numerator is a multiple of the denominator after simplification.