A1.A.CED.A.3
Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.
Example Problems
Tony is 5 years older than Beth. He is also 8 years older than half of Beth's age.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
Fred is 4 times as old as Nathan and is also 27 years older than Nathan.
Let be Fred's age and let be Nathan's age.
Write a system of equations to represent this situation.
Let be Fred's age and let be Nathan's age.
Write a system of equations to represent this situation.
Sarah is 5 times as old as Michael and is also 30 years older than Michael.
Let be Sarah's age and let be Michael's age.
Write a system of equations to represent this situation.
Let be Sarah's age and let be Michael's age.
Write a system of equations to represent this situation.
Khan Academy ResourcesSystems of equations word problems (with zero and infinite solutions)Systems of inequalities word problemsSystems of equations with substitution: potato chipsModeling with systems of inequalitiesGraphs of systems of inequalities word problemWriting systems of inequalities word problemSolving two-variable inequalities word problemSolving systems of inequalities word problem

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