Algebra and Functions

Virginia SOL AFDA.AF.3

Represent and interpret contextual situations with constraints that require optimization using linear programming techniques.

What students need to be able to do

  • Represent and interpret contextual problems requiring optimization with systems of linear equations or inequalities.
  • Solve systems of no more than four equations or inequalities graphically and, when appropriate, algebraically.
  • Identify the feasible region of a system of linear inequalities.
  • Identify the coordinates of the vertices of a feasible region.
  • Determine and describe the maximum or minimum value for the function defined over a feasible region.
  • Interpret the validity of possible solution(s) algebraically, graphically, using technology, and in context, and justify the reasonableness of the answer(s) or the solution method.