A.REI.6c

(9/10) Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

Example Problems
In 16 years, Ben will be 3 times as old as he is 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?
In 12 years, Paige will be 5 times as old as she is right now.
How old is she right now?
Khan Academy Resources
Elimination 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 problemsTwo-variable inequalities 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 inequalities word problemsSystems 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 solutionSolving two-variable inequalities word problemSystem of equations word problem: walk & rideSolving systems of inequalities word problemSystems of equations with graphing: exact & approximate solutions
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