Systems of Equations Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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.

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the solution to a system of equations graphically?

Back

The solution is the point where the two lines intersect on the graph.

Front

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

Back

It means the lines are parallel and do not intersect.

Front

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

Back

It means the lines are the same, or coincident, and overlap completely.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Front

What is the first step to solve a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other.

Front

What is the graphical representation of the equation y = -2x + 5?

Back

A straight line with a slope of -2 and a y-intercept of 5.