Non-linear equations (multi-variable)

Which ordered pairs are solutions to the system of equations shown on the graph below? Select all that apply.

• (-3,1)

• (-3,5)

• (0,-1)

• (1,-3)

How many solutions does this system of equations have?

• one real solution

• two real solutions

• no real solutions

• infinitely many solutions

24x² - 42x -45 / 6x² -13x -5

• on graph paper

• on graph paper

Solve the system using DESMOS.

• (-6, 3)
• (-4, 7)
• (-4, 7) and (3,-1)
• (3, -1) and (-2, 0)

Which of the following graphs correctly represents:

y=x²

y=-2x+1

• 
• 
• 
• 

How many solutions are there to the system in the graph?

• No solutions

• One solution

• Two solutions

• Three solutions

Solve the system of equations by graphing: y = x^2 - 4x + 3 and y = 2x - 1.

• Graphing is not a valid method for solving systems of equations

• The answer is 42

• This is a free response question and the answer will vary based on the specific points of intersection found on the graph.

• The solution is y = x^2 - 4x + 3 + 2x - 1

 $y=x^2-4$  

 $y=-x-2$  

Match the system of equations with its graph.

• 
• 
• 
• 

• (10, 0) and (-2, -12)

• (-2, 10) and (0, 2)

• No solution

• (10, 0) and (2, 12)

Match the following equations with their number of solutions by graphing.

• 0

• 2

• 1