FAC.F.22

Graph a system of two functions, f(x) and g(x), on the same Coordinate Plane by hand for simple cases, and with technology for complicated cases. Explain the relationship between the point(s) of intersection and the solution to the system. Determine the solution(s) using technology, a tables of values, substitution, or successive approximations. (Limited to linear and quadratic functions only.) (8.EE.7b, A-REI.6, A-REI.11)

Khan Academy Resources

Elimination method review (systems of linear equations)Number of solutions to system of equations reviewSubstitution method review (systems of equations)Age word problemsSystems of equations with graphingSystems of equations with substitutionSystems of equations with eliminationSystems of equations with elimination challengeSolving equations graphically: introInterpret points relative to a systemElimination strategiesSystems of equations word problemsNumber of solutions to a system of equations graphicallyCreating systems in contextSystems of equations word problems (with zero and infinite solutions)Reasoning with systems of equationsSolving equations graphically: word problemsNumber of solutions to a system of equations algebraicallySolving equations graphically: graphing calculatorCombining equationsSolutions of systems of equationsSystems of equations: trolls, tolls (2 of 2)Systems of equations: trolls, tolls (1 of 2)Systems of equations with graphing: y=7/5x-5 & y=3/5x-1Systems 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 number of solutions: fruit prices (1 of 2)Number of solutions to a system of equations graphicallySystems of equations with substitution: -3x-4y=-2 & y=2x-5Systems of equations number of solutions: fruit prices (2 of 2)Age word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranSystems of equations with elimination (and manipulation)Number of solutions to a system of equationsSystems of equations with elimination: TV & DVDTesting a solution to a system of equationsSolutions to systems of equations: consistent vs. inconsistentSystems of equations with substitution: coinsSolutions to systems of equations: dependent vs. independentIntro to linear equation standard formSolving equations by graphing: word problemsHow many solutions does a system of linear equations have if there are at least two?Interpreting points in context of graphs of systemsSolving equations by graphingSystems of equations with elimination: coffee and croissantsNumber of solutions to a system of equations algebraicallyTwo-variable linear equations introElimination strategiesSystem of equations word problem: infinite solutionsSolving equations by graphing: introIntro to point-slope formSystems of equations with elimination: apples and orangesSystem of equations word problem: no solutionSystem of equations word problem: walk & rideSolving equations by graphing: graphing calculatorSystems of equations with graphing: exact & approximate solutions

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