NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________

G8M4L11:StandardFormofaLinearEquation1

Learning Objective:Wewillsolvelinearequationsusingthestandardformofalinearequation.(G8M4L11) Exploration: Brandontellsyouhescored32pointsinabasketballgamewithONLYtwo-andthree-pointshots(nofreethrows).Howmanyofeachtypeofbasketdidhescore?Usethetabletoorganizeyourwork.

Numberoftwo-pointers Numberofthree-pointers

Letxbethenumberoftwo-pointershescored,andybethenumberofthree-pointershescored.Writeanequationtorepresentthesituation.Concept Development:

StandardFormofaLinearEquation!"+ !" = !

!, !, and ! are constants and at least one of ! or ! does not equal zeroExample:−50! + ! = 15Asolutiontoalinearequationisanorderedpairofnumbers(!,!)sothatxandymaketheequationatruestatement.Wecanfindsolutionsby‘fixinganumberforxory’andsolvingfortheothervariable.

NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________

G8M4L11:StandardFormofaLinearEquation2

Guided Practice: StepsforFindingSolutionstoLinearEquationsWritteninStandardForm1.Createatable.2.Fixanumberforxandsolvefory(orviceversa).3.Ploteachpointonagraph.4.ListthesolutionsasorderedpairsFindfivesolutionsforthelinearequation! + ! = 3andplotthesolutionsaspointsonacoordinateplane.

x Linearequation

!+ ! = !y Solution

(!,!)

NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________

G8M4L11:StandardFormofaLinearEquation3

Findfivesolutionstothelinearequation2! − ! = 10andthenplotthesolutionsaspointsonacoordinateplane.

x Linearequation

!"− ! = !"y Solution

(!,!)

NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________

G8M4L11:StandardFormofaLinearEquation4

Atthestore,youcanbuyabagofcandyfor$2andadrinkfor$1.Assumeyouhaveatotalof$35tospendandyouarefeelinggenerousandwanttobuysomesnacksforyourfriends.Writeanequationinstandardformtorepresentthenumberofbagsofcandy,x,andnumberofdrinks,y,youcanbuywithyour$35.Findfivesolutionstothelinearequationandplotthesolutionsaspointsonthecoordinateplane.

x

(candy)

Linearequation

y

(drinks)

Solution

(!,!)

NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________

G8M4L11:StandardFormofaLinearEquation5

Findfivesolutionstothelinearequation!! ! + ! = 11andthenplotthesolutionsaspointsonacoordinateplane.

x Linearequation!!!+ ! = !!

y Solution

(!,!)

NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________

G8M4L11:StandardFormofaLinearEquation6

Findfivesolutionstothelinearequation! − !

! ! = −2andthenplotthesolutionsaspointsonacoordinateplane.

x Linearequation

!− !!! = −!

y Solution(!,!)

NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________

G8M4L11:StandardFormofaLinearEquation7

Independent Practice: HandoutProblemSet—whateverdoesn’tgetdoneisHW.Closure: Handoutexitticketforlesson12Teacher Notes: Matcheslesson12frommod4,grade8