Non-linear equations (multi-variable)

Which of the following graphs correctly represents:

y=x²

y=-2x+1

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What's the difference between systems of equations and systems of inequalities?

• Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

• Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

• Systems of equations have a shaded region while systems of inequalities do not.

• There is no difference.

How many crossings are there?

(Of the green line and the blue curve?)

• 0

• 1

• 2

Graph the following equations:

y= - 2x - 3

y=x²-10x +22

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Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

What are the solutions to the nonlinear system?

• {(2, 0)}

• {(-2, 0), (2, 0)}

• {(0, -4), (0,4)}

• No Real Solution

 $y=x^2-2x+2$  

 $y=2x-2$  
Solve the system of non-linear equations by graphing. Use DESMOS!

• (2, 2)

• (-2, 0) and (1, -3)

• No Solutions

• (-1, -4) and (4, 6)

How many crossings are there?

(Of the green line and the blue curve?)

• 1

• 2

• 3

Match the system of equations with its graph

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