Testing Solutions to Systems of Equations

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Skill:

Solve systems of equations or inequalities algebraically and graphically that include nonlinear relationships.

Testing Solutions to Systems of Equations

Draw conclusions about how the intersections of a line and a parabola relate to a solution of a system of equations.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

If a pair of coordinates is a solution to one equation in a system but not the second, is that point a solution to the system of equations?

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Open-ended question 2

How can you tell if a pair of numbers is not a solution to a system of equations?

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Open-ended question 3

How many possible solutions can a system of a linear and quadratic equation have? Explain.

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