Final Exam First Semester

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the values that satisfy all equations simultaneously.

Front

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

Back

It means that the equations represent parallel lines that never intersect.

Front

What is a zero of a function?

Back

A point where the graph of the function intersects the x-axis, meaning the output (y-value) is zero.

Front

How do you find the zero of a function given a graph?

Back

Identify the x-coordinate where the graph crosses the x-axis.

Front

What is a relation in mathematics?

Back

A set of ordered pairs, typically representing a relationship between two sets of values.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

How do you convert a linear equation to slope-intercept form?

Back

Rearrange the equation to the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.