ALGEBRA I - BENCHMARK PRACTICE2024

Front

What is the average rate of change?

Back

The average rate of change is the change in the value of a quantity divided by the change in time. It is often expressed as 'units per time'.

Front

How do you calculate the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the slope of the line through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What is the slope of the line through the points (-1, -2) and (1, 2)?

Back

The slope is 2, calculated as (2 - (-2)) / (1 - (-1)).

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between two quantities, such as speed, cost, or growth.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, indicating that the x-value does not change as the y-value changes.

Front

What is the formula for the average rate of change between two points?

Back

The formula is (f(b) - f(a)) / (b - a), where f(a) and f(b) are the function values at points a and b.