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Henrico County Public Schools, Virginia
Algebra and Functions

Data Analysis

SOL Review Materials
The student will determine optimal values in problem situations by identifying constraints and using linear programming techniques.
Essential Knowledge and Skills 
  • Model practical problems with systems of linear inequalities.
  • Solve systems of linear inequalities with pencil and paper and using a graphing calculator.
  • Solve systems of equations algebraically and graphically.
  • Identify the feasibility region of a system of linear inequalities.
  • Identify the coordinates of the corner points of a feasibility region.
  • Find the maximum or minimum value for the function defined over the feasibility region.
  • Describe the meaning of the maximum or minimum value within its context.
Essential Understandings
  • Linear programming models an optimization process.
  • A linear programming model consists of a system of constraints and an objective quantity that can be maximized or minimized.
  • Any maximum or minimum value will occur at a corner point of a feasible region.
Vertical Articulation
  1. SOL 7.15 - a) solve one‐step inequalities; b) graph solutions on number line.
  2. SOL 8.15 - b) solve two‐step linear inequalities and graph results on numberline.
  3. SOL A.5 - solve multi-step linear inequalities (2 vars) ‐ a) solve mult-istep linear inequalities (alg/graph); b) justify steps used in solving inequalities; c) solve real‐world problems involving inequalities; d) solve systems of inequalities.
  4. SOL AII.5 - solve non-linear systems (alg/graph).
Instructional Materials
Frederick County Resources
Real World Lessons
Explore Learning
Common Core Standards