SEMESTER EXAM REVIEW

Front

What is the equation that represents a linear relationship between x and y?

Back

A linear equation can be represented 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 in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you determine if a system of equations has no solutions?

Back

A system has no solutions if the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts.

Front

What is causation in the context of relationships?

Back

Causation indicates that one event is the result of the occurrence of another event, meaning there is a direct cause-and-effect relationship.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, but it does not imply that one causes the other.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed. It can be written in the form y = mx + b.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).

Front

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

Back

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