Algebra I Fall Semester Exam 2024

Front

What is the function notation for a linear function?

Back

A linear function is typically written in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute a into the function: f(a).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a line to have a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a line that falls from left to right.

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, which occurs when y = 0.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, which occurs when x = 0.

Front

What does it mean if a system of equations has no solution?

Back

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is the y-coordinate of any point on the line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is the x-coordinate of any point on the line.