Algebra Functions Data Analysis · Algebra and Functions

Virginia SOL AFDA.AF.3

Virginia SOL AFDA.AF.3 is part of the Algebra and Functions strand in Algebra Functions Data Analysis (Math). Under this Standards of Learning objective, students represent and interpret contextual situations with constraints that require optimization using linear programming techniques. Below is what AFDA.AF.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice AFDA.AF.3 for the Virginia SOL test.

What SOL AFDA.AF.3 means

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

Skills you’ll practice for AFDA.AF.3

  • 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.

Key concepts covered by AFDA.AF.3

  • contextual optimization
  • linear programming
  • systems of equations
  • systems of inequalities
  • graphical solutions
  • algebraic solutions
  • feasible region
  • graphical analysis
  • vertices of feasible region
  • optimization
  • maximum value
  • minimum value
  • solution validation
  • algebraic validation
  • graphical validation
  • contextual validation
  • solution justification

How to study and practice SOL AFDA.AF.3

Start with a quick diagnostic to see whether AFDA.AF.3 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

  • AFDA.AF.1Investigate, analyze, and compare linear, quadratic, and exponential function families using transformations, algebraically and graphically.
  • AFDA.AF.2Investigate and analyze characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions.

Frequently asked questions about SOL AFDA.AF.3

What is Virginia SOL AFDA.AF.3?

SOL AFDA.AF.3 is a Algebra Functions Data Analysis Standard of Learning in the Algebra and Functions strand. It expects students to represent and interpret contextual situations with constraints that require optimization using linear programming techniques.

What skills does SOL AFDA.AF.3 cover?

SOL AFDA.AF.3 is assessed on 6 skills: 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.

What strand of Algebra Functions Data Analysis is SOL AFDA.AF.3 in?

SOL AFDA.AF.3 belongs to the Algebra and Functions reporting strand of the Algebra Functions Data Analysis Virginia Standards of Learning.

How do I study and practice for SOL AFDA.AF.3?

Start with a diagnostic to see whether AFDA.AF.3 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.