AII-A.REI.11
Given the equations y = f(x) and y = g(x): i) recognize that each x-coordinate of the intersection(s) is the solution to the equation f(x) = g(x); ii) find the solutions approximately using technology to graph the functions or make tables of values; iii) find the solution of f(x) < g(x) or f(x) ≤ g(x) graphically; and iv) interpret the solution in context. (Shared standard with Algebra I)
Example Problems
What is the area of the region between the graphs of and from to ?
and
Use Euler's method with three steps of equal size to approximate .
Use Euler's method with three steps of equal size to approximate .
Let
Is continuous at ?
Is continuous at ?
Khan Academy ResourcesElimination method review (systems of linear equations)Substitution method review (systems of equations)Age word problemsSystems of equations with graphingSystems of equations with substitutionSystems of equations with eliminationSystems of equations with elimination challengeInterpret points relative to a systemElimination strategiesSystems of equations word problemsCreating systems in contextSystems of equations word problems (with zero and infinite solutions)Reasoning with systems of equationsCombining 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 with substitution: -3x-4y=-2 & y=2x-5Age word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranSystems of equations with elimination (and manipulation)Systems of equations with elimination: TV & DVDTesting a solution to a system of equationsSystems of equations with substitution: coinsInterpreting points in context of graphs of systemsSystems of equations with elimination: coffee and croissantsElimination strategiesSystem of equations word problem: infinite solutionsSystems of equations with elimination: apples and orangesSystem of equations word problem: no solutionSystem of equations word problem: walk & rideSystems of equations with graphing: exact & approximate solutions

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