Semester Exam Review

Front

What is a system of equations with no solution?

Back

A system of equations with no solution is one where the graphs of the equations do not intersect, meaning there is no set of values that satisfies all equations simultaneously.

Front

How do you determine the rate of change from a table of values?

Back

The rate of change is calculated by taking the difference in the dependent variable (y) divided by the difference in the independent variable (x). For example, if miles driven increases by 75 miles for every hour driven, the rate of change is 75 miles per hour.

Front

What is the zero of a linear function?

Back

Front

What does the y-intercept of a graph represent?

Back

The y-intercept of a graph is the point where the graph crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It indicates how much y changes for a unit change in x.

Front

How can you identify a linear function from a graph?

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, meaning they have no points in common.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means they intersect at a right angle.

Front

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

Back

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.