Final Exam Fall 2024

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning the value of y is zero at that point.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y to 0 in the equation and solve for x.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution, meaning the graphs of the equations intersect at one or more points.

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the ratio of the change in y to the change in x, often represented as the slope of the line.

Front

How do you calculate the slope of a line given two points?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation f(x) = mx + b.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function f(x) at a specific value x = a, substitute a into the function and simplify.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is 0.