Systems of Equations Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are the same, meaning they overlap completely.

Front

How do you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is slope-intercept form?

Back

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert standard form to slope-intercept form?

Back

Solve for y to isolate it on one side of the equation.

Front

What is the slope of the line represented by the equation y = 4/5 x - 1?

Back

The slope is 4/5.

Front

What is the y-intercept of the line represented by the equation y = -2x - 5?

Back

The y-intercept is -5.

Front

How can you graph a system of equations?

Back

By plotting each equation on the same coordinate plane and finding their intersection.