Solving Systems of Equations: Graphs and Tables

What does it mean for two equations to intersect?

• They have the same slope.

• They cross at a common point.

• They are parallel.

• They have no solution.

What is the graphical method used for solving systems of equations?

• Substituting values into the equations.

• Drawing the equations on a graph and finding the intersection point.

• Using a calculator to find the roots.

• Using algebraic manipulation.

How do you find the intersection point using a table?

• By finding the x-values where the slopes are the same.

• By finding the y-values where the x-values are the same.

• By finding the y-values where the slopes are the same.

• By finding the x-values where the y-values are the same.

What is the solution to the system of equations if the lines intersect at x = -3?

• x = 1

• x = -3

• x = 3

• x = 0

Which calculator function is used to bring up a table?

• Alt + T

• Shift + T

• Control + T

• Ctrl + Alt + T

What does it mean if the y-values are the same in a table?

• The equations have no solution.

• The intersection point is found.

• The equations are parallel.

• The x-values are the same.

What is the intersection point of the equations in example one?

• x = -1.3, y = -2.6

• x = -1, y = -2

• x = 1.3, y = 2.6

• x = 1, y = 2

What is the intersection point of the equations in example two?

• x = 1, y = -3

• x = -1, y = 3

• x = 1, y = 3

• x = -1, y = -3

What is the solution to the system of equations if the lines are parallel?

• The solution is the average of the y-values.

• The solution is the midpoint of the lines.

• There is no solution.

• The solution is the point where they intersect.

What is the solution to the system of equations in example four?

• x = 0

• x = 2

• x = 1

• x = -1