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 
 SOL 7.15  a) solve one‐step inequalities;
b) graph solutions on number line.
 SOL 8.15  b) solve two‐step linear
inequalities and graph results on
numberline.
 SOL A.5  solve multistep linear inequalities (2
vars) ‐ a) solve multistep linear
inequalities (alg/graph); b) justify steps
used in solving inequalities; c) solve
real‐world problems involving
inequalities; d) solve systems of inequalities.
 SOL AII.5  solve nonlinear systems
(alg/graph).

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Common Core
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