learning objective: elimination.mrrogove2016.weebly.com/uploads/4/3/0/0/43009773/g... · 1 g8m4l25:...
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NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M4L25:SolvingSystemsofEquationsbyElimination1
Learning Objective:Wewillsolvesystemsofequationsbyelimination.(G8M4L25) Activating Prior Knowledge: Wecanadd.
2+ 5 =6+ 9 =
−3+ 11 =3+ 2 =
Concept Development: Youcansolvesystemsofequationsbyeliminationbyaddingequationstogethertoeliminateavariable.Example:6! − 5! = 212! + 5! = −5
STRATEGY:WhentouseEliminationMethod1.Whenthetwocoefficientsofoneofthevariablesareopposites.2.Whenyoucanmultiplyoneequationbyanintegernumbertocreateasystemwheretwocoefficientsofoneofthevariablesareopposites.
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NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M4L25:SolvingSystemsofEquationsbyElimination2
Guided Practice: StepsforSolvingEquationsUsingElimination1.Multiplyoneentireequationbyanintegertocreateoppositecoefficientsforoneofthevariables(ifnecessary).2.Addanentireequationinordertoeliminateonevariable.3.Solveforyourremainingvariable.4.Substituteyouranswerintooneoftheoriginalequationsandsolveforthevariableyoueliminatedoriginally.5.Checkyourworkbysubstitutingyouranswersintotheoriginalequations.
2! + ! = 143! − ! = 4
2! + 3! = 11−2! + 9! = 4
2! − 3! = 212! − ! = 13
5! + 18! = −272! + 18! = −9
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NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M4L25:SolvingSystemsofEquationsbyElimination3
12! − ! = 266! − 3! = −36
3! − 10! = −302! + 20! = 10
2! + 5! = −10−5! + 4! = 4
7! − 4! = 136! + 3! = 11
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NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M4L25:SolvingSystemsofEquationsbyElimination4
Independent Practice:
7! + 4! = 136! + 3! = 11
3! − ! = 2110! − 3! = 11
2! + ! = 8! + ! = 10
8! − 5! = 103! + 5! = 12
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NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M4L25:SolvingSystemsofEquationsbyElimination5
Closure: Choosethemostefficientmethodofsolvingeachsystem:SubstitutionorEliminationandbereadytoexplainyourdecision.NOneedtosolveeachsystem!A. −3! + ! = 13
2! − 3! = 16
SubstitutionorElimination?
B. ! = 4! + 12! = −5! + 81
SubstitutionorElimination?
C. 16! + 13! = 134−4! − 12! = 2
SubstitutionorElimination?
Teacher Notes: Mapstolesson28fromModule4.HWcouldbehandout(orKhan).