Pre-Algebra Midterm Exam Review

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 quantity of one. For example, if you earn $100 for each hour worked, the unit rate is $100 per hour.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if there is a constant rate of change (COP) between the two quantities. This means that as one quantity increases, the other quantity increases at a consistent rate.

Front

What does COP stand for in mathematics?

Back

COP stands for Constant of Proportionality, which is the ratio between two proportional quantities.

Front

If a table shows a COP of 12, what does that mean?

Back

It means that for every unit increase in the first quantity, the second quantity increases by 12 units.

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in one quantity is consistent for every unit change in another quantity. For example, if the cost of calls is $0.10 per minute, that is a constant rate of change.

Front

How can you model a situation with an equation?

Back

You can model a situation by creating an equation that represents the relationship between the quantities involved. For example, if Jose burns 200 calories in 25 minutes, the equation c = 8m models the calories burned (c) in m minutes.

Front

What is the equation to find calories burned if 200 calories are burned in 25 minutes?

Back

The equation is c = 8m, where c is the calories burned and m is the minutes.

Front

What is the significance of the slope in a graph?

Back

The slope of a graph represents the rate of change between the two variables. A steeper slope indicates a greater rate of change.

Front

How do you find the slope of a line on a graph?

Back

To find the slope, you can use the formula (change in y) / (change in x) between two points on the line.

Front

What does it mean if a mixture of paint is darker?

Back

A darker mixture of paint means that there is a higher concentration of the darker color (in this case, blue) compared to the lighter color (white).