A1.13

Represent constraints by equations and/or inequalities, and solve systems of equations and/or inequalities, interpreting solutions as viable or nonviable options in a modeling context. Limit to contexts arising from linear, quadratic, exponential, absolute value, and linear piecewise functions.

Khan Academy Resources

Absolute value graphs reviewElimination method review (systems of linear equations)Systems of inequalities graphsSystems of equations with eliminationSystems of equations with elimination challengeInterpret points relative to a systemElimination strategiesSolutions of inequalities: algebraicGraph absolute value functionsCreating systems in contextSystems of equations word problems (with zero and infinite solutions)Piecewise functions graphsReasoning with systems of equationsSolutions of systems of inequalitiesCombining equationsEvaluate piecewise functionsSystems of inequalities word problemsSystems of equations with elimination: x-4y=-18 & -x+3y=11Systems of equations with elimination: King's cupcakesSystems of equations with elimination: potato chipsSystems of equations with substitution: potato chipsSystems of equations with elimination (and manipulation)Systems of equations with elimination: TV & DVDGraphing systems of inequalitiesExponential vs. linear growth over timeGraphing absolute value functionsInterpreting points in context of graphs of systemsWorked example: graphing piecewise functionsSystems of equations with elimination: coffee and croissantsElimination strategiesWorked example: evaluating piecewise functionsIntroduction to piecewise functionsSystems of equations with elimination: apples and orangesWorked example: domain & range of piecewise linear functionsWorked example: domain & range of step function

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