Solving Systems of Equations by Graphing

What is a system of linear equations?

• A single linear equation

• A set of two or more linear equations

• A polynomial equation

• A quadratic equation

What is required for an ordered pair to be a solution to a system of equations?

• It must satisfy all equations in the system

• It must satisfy at least one equation in the system

• It must be a positive pair

• It must be a negative pair

If an ordered pair fails to satisfy the first equation in a system, what can be concluded?

• It is a solution to at least one equation

• It needs to be tested in the second equation

• It is not a solution to the system

• It is still a solution to the system

What is the main goal when solving a system of equations by graphing?

• Finding the slope of the lines

• Finding the y-intercept of the lines

• Finding the x-intercept of the lines

• Finding the point of intersection

What does the point of intersection represent in a system of linear equations?

• The point where one line crosses the x-axis

• The point where one line crosses the y-axis

• The point that satisfies both equations

• The midpoint of the two lines

When graphing a line, where do you begin if the equation is in slope-intercept form?

• At the origin

• At the y-intercept

• At any random point

• At the x-intercept

Why is it important to use a straightedge when graphing lines?

• To save time

• To ensure accurate intersections

• To make the graph look neat

• To avoid mistakes in calculations

What should you do if the x-intercept or y-intercept is a fraction?

• Round it to the nearest whole number

• Estimate its position accurately on the graph

• Ignore it

• Change the equation

In the context of the BK bed-and-breakfast problem, what does the break-even point represent?

• The point where costs are minimized

• The point where revenue is maximized

• The point where costs equal revenue

• The point where no profit is made

How many nights does BK bed-and-breakfast need to rent out a room to break even?

• 6 nights

• 5 nights

• 4 nights

• 3 nights