8thGrade
Quizzette
11/07–11/11
14
Name
Date
TeamandColorSeat#
8.FA.1 Find the number of solutions to a system of equations
Monday:
1.Howmanysolutions
doesthesystemof
equationshave?Explain
yourreasoning.
𝑦 = 3𝑥 − 3
𝑦 = 3𝑥 − 3
Tuesday:
1.Howmanysolutions
doesthesystemof
equationshave?Explain
yourreasoning.
!
𝑦 = !𝑥 − 5
3
𝑦= 𝑥−1
2
2.Howmanysolutionstothesystemof
equations?Solvebygraphing.
𝑦 = −2𝑥 + 4
𝑦 = −2𝑥 + 4
2.Howmanysolutionstothesystemof
equations?Solvebygraphing.
!
𝑦 = −!𝑥 + 2
1
𝑦 =− 𝑥+4
2
3.Cora,anofficemanager,needstofindacouriertodelivera
package.Thefirstcouriersheisconsideringchargesafeeof$15
plus$3perkilogram.Thesecondcharges$10plus$4per
kilogram.Coradeterminesthat,givenherpackage'sweight,the
twocourierservicesareequivalentintermsofcost.Howmuch
willitcost?Writeasystemofequations,graphthem,andfindthe
solution. 3.ThestudentcouncilatMiddletownHighSchoolismakingTshirtstosellforafundraiser,atapriceof$20apiece.Thecosts,
meanwhile,are$10pershirt,plusasetupfeeof$100.Sellinga
certainnumberofshirtswillallowthestudentcounciltocover
theircosts.Howmanyshirtsmustbesold?
Writeasystemofequations,
graphthem&findthesolution.
Wednesday:
1.Howmanysolutions
doesthesystemof
equationshave?Explain
yourreasoning.
𝑦 = 2𝑥 + 1
2.Howmanysolutionstothesystemof
equations?Solvebygraphing
𝑦 = −𝑥 + 6
𝑦 = −4
3.AnewhospitalinKensingtonstartsoutwith10junior
residentsand5seniorresidentsonitsstaff.Managementplans
tohireadditionalpersonnelatarateof3juniorresidentsper
monthand4seniorresidentspermonth.Eventually,therewill
beanequalnumberofeachonthehospitalstaff.Howmanyof
eachtypewilltherebe?Writeasystemofequations,graph
them,andfindthesolution.
3.Sharoniscollectingpledgesforawalk-a-thon.Hermother
haspledgedaflatdonationof$6,andhergrandmotherhas
pledged$1permile.IfSharonwalksacertaindistance,thetwo
donorswillendupowingthesameamount.Whatisthat
distance?Writeasystemofequations,graphthem,andfind
thesolution.
1
𝑦 = 𝑥−3
2
Thursday:
1.Howmanysolutions
doesthesystemof
equationshave?Explain
yourreasoning.
!
!
𝑥+!= 𝑦
!
!
1+!𝑥 = 𝑦
2.Howmanysolutionstothesystemof
equations?Solvebygraphing
𝑦 = −𝑥 − 6
𝑦 = −𝑥 − 4