Math 1 Midterm 2024-2025

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

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

Back

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

Front

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Back

The equation is y = 2x - 5.

Front

What does the variable 'y' represent in the context of a cost function?

Back

In a cost function, 'y' typically represents the total cost incurred.

Front

What is the solution to the system of equations y = -3x + 4 and 3x + 2y = 8?

Back

The solution is the point (0, 4).

Front

How do you calculate the distance between two points in a coordinate plane?

Back

The distance d between two points (x1, y1) and (x2, y2) can be calculated using the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Front

What is the distance between points J and K if it is given as 8.2?

Back

The distance between points J and K is 8.2 units.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the starting value of y when x is zero, providing a reference point for the graph.