Semester 1 Final Review

Front

What is the solution of a system of linear equations represented graphically?

Back

The solution is the point where the two lines intersect, representing the values of the variables that satisfy both equations.

Front

What does it mean if there is no correlation between two variables?

Back

No correlation means that changes in one variable do not predict changes in the other variable.

Front

What is a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean if a set of values is NOT a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

How do you determine if two linear equations have infinitely many solutions?

Back

Two linear equations have infinitely many solutions if they represent the same line, meaning they have the same slope and y-intercept.

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) between two points (x1, y1) and (x2, y2).

Front

How do you find the point of intersection of two lines?

Back

To find the point of intersection, solve the system of equations formed by the two lines simultaneously.

Front

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

Back

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

Front

What is a linear equation in two variables?

Back

A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants.

Front

What is the cost function for a service with a fixed fee and a variable hourly rate?

Back

The cost function can be expressed as C = fixed fee + (hourly rate * number of hours).