Exploring Systems of Equations through Graphing

What is a system of linear equations?

• A set of equations with different variables.

• A set of equations with the same variables.

• A single equation with multiple variables.

• A set of equations with no variables.

What does an ordered pair represent in a system of equations?

• A solution to one of the equations.

• A solution to none of the equations.

• A solution to both equations.

• A solution to only the first equation.

What is the first step in graphing the equation y = -x + 4?

• Identify the x and y intercepts.

• Identify the slope.

• Identify the y-intercept.

• Identify the x-intercept.

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

• (0, 4)

• (1, 3)

• (2, 2)

• (3, 1)

What does it mean if two lines in a system of equations are identical?

• There is no solution.

• There is one solution.

• There are infinite solutions.

• There are two solutions.

What is the solution to the system of equations y = -x + 2 and y = -4x - 1?

• (-3, 1)

• (3, -1)

• (1, -3)

• (-1, 3)

How can you verify the solution to a system of equations?

• By graphing the equations.

• By substituting the solution into both equations.

• By solving the equations algebraically.

• By checking the x-intercepts.

What is the first step in solving the application problem involving hot dogs and drinks?

• Find the slope.

• Find the y-intercept.

• Graph the equations.

• Identify the variables.

How many hot dogs and drinks were bought if the total cost is $11 and the total items are 8?

• 5 hot dogs and 3 drinks

• 4 hot dogs and 4 drinks

• 3 hot dogs and 5 drinks

• 2 hot dogs and 6 drinks

How many games of bowling and laser tag can Marquis play if he spends exactly $20?

• 1 game of bowling and 5 games of laser tag

• 4 games of bowling and 2 games of laser tag

• 2 games of bowling and 4 games of laser tag

• 3 games of bowling and 3 games of laser tag