HS.A.14
Create a system of equations or inequalities to represent constraints within a modeling context. Interpret the solution(s) to the corresponding system as viable or nonviable options within the context. (MP.4, MP.5)
Example Problems
Is a solution to this system of inequalities?
In 16 years, Ben will be 3 times as old as he is right now.
How old is he right now?
How old is he right now?
In 12 years, Nathan will be 4 times as old as he is right now.
How old is he right now?
How old is he right now?
Khan Academy ResourcesAge word problemsSystems of equations word problemsTwo-variable inequalities word problemsCreating systems in contextSystems of inequalities word problemsAge word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranModeling with systems of inequalitiesSystems of equations with substitution: coinsSetting up a system of equations from context example (pet weights)Graphs of systems of inequalities word problemSetting up a system of linear equations example (weight and price)Writing systems of inequalities word problemSystem of equations word problem: infinite solutionsSystem of equations word problem: no solutionSystem of equations word problem: walk & ride

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