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Goals and Objectives of the
Solving Equations Module

After completing this module you will be able to:
  • describe the graph of an equation written in standard form.
  • describe what the graph of an equation of the form Ax2 + By2 + Cx + Dy + F = 0 might look like by inspecting the values of the coefficients A, B, C, D and F.
  • describe the graph of an equation of the form Ax2 + By2 + Cx + Dy + F = 0 by rewriting the equation into standard form.
  • show how to solve a linear - quadratic system of equations graphically and algebraically.
  • describe the ways in which the graphs of a linear equation and a quadratic equation can intersect.
  • describe the ways in which the graph of two quadratic equations can intersect.
  • show how to solve a quadratic - quadratic system of equations graphically and algebraically.
  • describe or show how to check the solutions of a system of equations by substituting the solutions into the original equations.
  • describe the effect that translating the graph of an equation over a fixed graph has on the number of intersection points between the two graphs.

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