Solving Systems by Graphing and Substitution

Front

What is a system of equations?

Back

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

Front

What does it mean for a solution to a system of equations?

Back

A solution is an ordered pair that satisfies all equations in the system.

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into each equation; if it satisfies all, it is a solution.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines representing the equations.

Front

What does it mean if two lines intersect at one point?

Back

The system has a unique solution.

Front

What does it mean if two lines are parallel?

Back

The system has no solution.

Front

What does it mean if two lines overlap?

Back

The system has infinitely many solutions.

Front

What is the slope-intercept form of a linear equation?

Back

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

Isolate y on one side of the equation.

Front

What is the slope of the line represented by the equation 2y = 4x + 8?

Back

The slope is 2.