Exploring Systems of Equations through Graphing

What is a system of equations?

• A single equation with one variable

• A set of two or more equations with two or more variables

• A single equation with multiple variables

• A set of equations with only one variable

What does the bracket in a system of equations signify?

• It highlights the variables

• It indicates the solution

• It shows that the equations are considered together

• It separates the equations

What is a solution to an individual equation?

• Any pair of x and y that makes the equation false

• Any pair of x and y that makes the equation true

• Any single value of y

• Any single value of x

What is the solution to a system of equations?

• Any ordered pair that satisfies only one equation

• Any ordered pair that satisfies both equations

• Any single value of y

• Any single value of x

How can we visually find the solution to a system of equations?

• By using only one of the equations

• By finding the midpoint of the graphs

• By solving each equation separately

• By finding the intersection point of the graphs of the equations

What is the first step in solving a system of equations by graphing?

• Graphing the equations

• Checking the solution

• Solving each equation for y

• Finding the intersection point

Why do we convert equations to slope-intercept form?

• To make them easier to solve

• To make them easier to graph

• To find the intersection point

• To check the solution

What is the purpose of graphing both equations on the same axis?

• To find the y-intercept

• To find the intersection point

• To find the slope

• To find the x-intercept

What is the final step in solving a system of equations by graphing?

• Finding the intersection point

• Converting to slope-intercept form

• Graphing the equations

• Verifying the solution

How do you verify that a point is a solution to a system of equations?

• By finding the y-intercept

• By substituting the values into both equations

• By graphing the point

• By finding the slope