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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.

Opgave 1

Putting It All Together

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

Opgave 2

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?

Opgave 3

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

Opgave 4

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