Fall benchmark 8th grade math

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. If one quantity increases, the other increases at a consistent rate.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is one where the ratio between two quantities is not constant. The relationship may still be linear, but it does not pass through the origin.

Front

How do you determine if a relationship is proportional or nonproportional from a table?

Back

Check if the ratios of corresponding values are constant. If they are, the relationship is proportional; if not, it is nonproportional.

Front

If Julio can solve 25 math problems in 10 minutes, how many can he solve in 40 minutes?

Back

100 math problems.

Front

What is the formula to calculate distance when speed and time are known?

Back

Distance = Speed × Time.

Front

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 2.5 hours?

Back

150 miles.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How is 5,000,000,000,000,000,000,000 written in scientific notation?

Back

5 × 10^21.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

Which of the following is NOT a function: {(1,2), (1,3), (2,4), (3,5)}?

Back

(1,2) and (1,3) - because the input '1' has two different outputs.