Solving Systems of Equations through Graphing Techniques

What is a system of equations?

• An equation with no variables

• A single equation with multiple variables

• A set of two or more equations

• A set of inequalities

What is the solution of a system of equations?

• A graph

• An ordered pair that satisfies all equations

• A set of numbers

• A single number

How many equations are typically in a system when solving by graphing?

• One

• Four

• Two

• Three

What is the first step in graphing the system y = -x + 3 and y = 4x - 2?

• Plot the points

• Solve for x

• Find the intercepts

• Draw the coordinate grid

What is the solution to the system y = -x + 3 and y = 4x - 2?

• (2, 1)

• (-1, 3)

• (1, 2)

• (3, -1)

Which form is easiest to graph?

• Point-slope form

• Quadratic form

• Slope-intercept form

• Standard form

What is the solution to the system x + y = 5 and x = 5?

• (5, 5)

• (0, 5)

• (0, 0)

• (5, 0)

What does it mean if two lines on a graph are the same?

• There is no solution

• The lines are parallel

• There is one solution

• There are infinite solutions

What is the result if two lines on a graph are parallel?

• No solutions

• Two solutions

• Infinite solutions

• One solution

What should you look for when graphing systems of equations?

• The axis

• The intercepts

• The point of intersection

• The slope