Intro to Systems of Linear Equations

Intro to Systems of Linear Equations

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Is it a solution?

To check if an ordered pair is a solution to the system, plug (x, y) into BOTH equations.

Multiple Choice

What is a system of linear equations?

• a graph of a line

• two or more linear equations

• y=mx+b

• a lot of math

Multiple Select

WHat is a solution to a system of linear equations?

• The point where both lines intersetct.

• The point where the y-axis and x-axis meet.

• An ordered pair that both lines share.

• A salt dissilved in water.

What is the solution?

To find a solution to a system of equations on a graph, look for the point of intersection.

Multiple Choice

What is the solution to this system?

• (-4, -1)

• (-1, -4)

• (0, 0)

• (3, 0)

Multiple Choice

• (-1, -2)
• (-1, 2)
• (1, 2)
• (1, -2)

Multiple Choice

Miracle graphed two lines in order to find the solution to a given system of equations. What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution

• (6, -2)

Multiple Choice

Callie graphed two lines in order to find the solution to a given system of equationsThe solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Multiple Choice

What is the solution to this system?

• (2, -2)

• (2, 2)

• (-2, 2)

• (-2, -2)

Multiple Choice

What is the solution to this system?

• (0, 3)

• (-4, 0)

• (-2, -4)

• (-4, -2)

Multiple Choice

What is the solution to this system?

• (1, 3)

• (3, 1)

• (0, 2)

• (0, -1)

Multiple Choice

What is the solution to this system?

• (0, 2)

• (3, 1)

• (3, 4)

• (4, 3)

Multiple Choice

What is the solution to this system?

• (1, 4)

• (4, 1)

• (3, 4)

• (4, 3)

Multiple Choice

What is the solution to this system?

• (-3, 1)

• (-3, -1)

• (0, 4)

• (-3, -4)

Multiple Choice

What is the solution to this system?

• (-3, 1)

• (-3, -1)

• (3, -1)

• (0, -2)

Multiple Choice

What is the solution to this system?

• (-1, 4)

• (-4, -1)

• (4, -1)

• (0, -2)

Multiple Choice

What is the solution to this system?

• (0, 0)

• (0, 2)

• (0, -2)

• no solution

Multiple Choice

What is the solution to this system?

• (2, 3)

• (3, 2)

• (-3, -2)

• (-2, -3)

Multiple Choice

What is the solution to this system?

• (4, 4)

• (-4, -4)

• (0, 2)

• no solution

Multiple Choice

Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?

• 20 minutes
• 15 minutes
• 10 minutes
• 5 minutes

Multiple Choice

A photographer is comparing two stylists' prices using the graph. The photographer realizes that, given the expected duration of her photo shoot, either stylist would cost her the same amount. What would the cost be?

• $5
• $500
• $200
• $150

Multiple Choice

What is the solution to this system?

• (0, 0)

• (0, 4)

• (0, 1)

• no solution

Multiple Choice

Is (2, 5) a solution to the system?

• yes

• no