AFA.PAR.5.5
Solve linear systems of equations and inequalities to identify points of intersection and define domains in the context of the problem situation.
Example Problems
Pierre wants to make tables and chairs.
He has a total of 220 wooden boards and 760 nails. represents the number of tables x and chairs m he can make with 220 wooden boards.
represents the number of tables and chairs he can make with 760 nails.
Does Pierre have enough boards and nails to make 9 tables and 5 chairs?
He has a total of 220 wooden boards and 760 nails. represents the number of tables x and chairs m he can make with 220 wooden boards.
represents the number of tables and chairs he can make with 760 nails.
Does Pierre have enough boards and nails to make 9 tables and 5 chairs?
Brenda wants to knit scarves and mittens.
She has a total of 500 yards of yarn and 150 hours. represents the number of scarves s and mittens m she can knit with 500 yards of yarn.
represents the number of scarves and mittens she can knit within 400 hours.
Does Brenda have enough yarn and hours to produce 60 scarves and 50 mittens?
She has a total of 500 yards of yarn and 150 hours. represents the number of scarves s and mittens m she can knit with 500 yards of yarn.
represents the number of scarves and mittens she can knit within 400 hours.
Does Brenda have enough yarn and hours to produce 60 scarves and 50 mittens?
Harvey wants to produce toy robots and drones.
He has a budget of $12,000 and 800 labor hours. represents how many robots x and drones m he can make with $12,000.
represents how many robots and drones he can make within 800 hours
Does Harvey have enough budget and hours to produce 50 robots and 30 drones?
He has a budget of $12,000 and 800 labor hours. represents how many robots x and drones m he can make with $12,000.
represents how many robots and drones he can make within 800 hours
Does Harvey have enough budget and hours to produce 50 robots and 30 drones?
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 inequalities graphsSystems of equations with eliminationSystems of equations with elimination challengeInterpret points relative to a systemElimination strategiesSystems of equations word problemsSolutions of inequalities: algebraicTwo-variable inequalities word problemsCreating systems in contextSystems of equations word problems (with zero and infinite solutions)Reasoning with systems of equationsSolutions of systems of inequalitiesCombining 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)Modeling with systems of inequalitiesSystems of equations with elimination: TV & DVDGraphing systems of inequalitiesTesting a solution to a system of equationsSystems of equations with substitution: coinsSetting up a system of equations from context example (pet weights)Interpreting points in context of graphs of systemsGraphs of systems of inequalities word problemSystems of equations with elimination: coffee and croissantsSetting up a system of linear equations example (weight and price)Writing systems of inequalities word problemElimination 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
1-on-1 AI tutoring aligned to AFA.PAR.5.5. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →