COLLEGE ALGEBRA FINAL EXAM
QUESTIONS WITH CORRECT ANSWERS
a=-20s-sans✔✔-7a+4+8a=12-28siss______________
x=1s-sans✔✔8x+2(3x-6)=9-7xsiss_____________
x=s-3/8s-sans✔✔3/4xs+s1/3=x/8+1/6siss_________
inconsistent,s(doessnotsequals0)s-sans✔✔-15s+27+5(3s-4)=0siss__________,_____
IR,s0=0s-sans✔✔3(2g+6)-6g-18=0siss_________,___
conditional,st=4s-sans✔✔3(28t+8)=12(3t+18)siss__________,____
m=s1,sm=s-1.7s-sans✔✔/6m+2/=8siss_____,s______
x=s5,sx=s-7s-sans✔✔4/x+1/-5=19siss_____,s_____
doessnotsequalszeros-sans✔✔1/5s/x-3/=-18siss____,_____
t=-6s-sans✔✔/t+6/=0siss_____
a+b-r=ss-sans✔✔a+bs=ss+rsforsss__________
x=2s8/11shourss-
sans✔✔Onesmaidscanscleanstheshousesins5shours.sAnothersmaidscansdosthesjobsins6shour
s.sHowslongswillsitstakesthemstosdosthesjobsworkingstogether?
QsIIs-sans✔✔(-20,3)sissinsQ____
ysaxiss-sans✔✔(0,-19)sissins____
m:s(5.5,4)sd:s√101siss10.05s-sans✔✔(5,-1)sands(6,9)smidpointsandsdistancesis:
R:2sC:(4,0)s-sans✔✔Findsthescenters&sradiussofs(x-4)2+y2=4
, R:s√28sC:s(-4,-5)s-sans✔✔Findsthescenters&sradiussofsx2+y2+8x+10y+11=-2
m:s-7s-sans✔✔Findsthesslopesofs(6,-3)sands(5,4)
undefineds-sans✔✔Findsthesslopesofs(7,-9)sands(7,4)
y=s-2/3x+13/3s-sans✔✔Findsthesequationsofstheslinesthroughs(2,3)swithsslopes-2/3
m:s4,sy=4x+15s-sans✔✔Puts(-5,-5)sands(-2,7)sinsslope-interceptsform
y=6/5x+4/5s-
sans✔✔Changesthesequationstosslopesinterceptsformsandsidentifysthesslopesandsysintercep
ts-6x+5y=4
m:s8/9s-sans✔✔Findsthesslopesofsaslinesperpendicularstos9x+8y=-5
m=13s-sans✔✔Findsthesslopesofsaslinesparallelstosy=13x-6
x=6,sx=-5s-sans✔✔Solvesthesequationsbysfactoringsx2-x=30
x=3,sx=-10s-sans✔✔Solvesthesequationsbysfactorings5x2+8x-4=0
p:s-2/7s-s5/7√3sandsp:-2/7s+s5/7√3s-
sans✔✔Usesthessquaresrootspropertystosfindsallssolutionsstos(7p+2)2=75
z=s-7+-√19s-sans✔✔Completesthessquare:sz2+14z+30=0
3+i,s3-is-
sans✔✔Findsthesrealsorsimaginaryssolutionssbysusingsthesquadraticsformulasforsx2-
6x+10=0
-5/8+-s√57/8s-
sans✔✔Findsthesrealsorsimaginaryssolutionssbysusingsthesquadraticsformulasfors4x2+5x=2
x=6,sx=-2s-sans✔✔Findsthessolutionsstosthesequationsbysreadingsthesgraphsofs-
x2+4x+12=0
0=sonessolutions-
sans✔✔Statesthesvaluesofsthesdiscriminantsandsthesnumbersofsrealssolutionssofs9x2-
6x+1=0
(-2,infinity)s-sans✔✔Solvesthesinequalitys18x+9>3(5x+1)
[-3,infinity}s-sans✔✔Solvesthesinequalitys7x+6>8x+9
QUESTIONS WITH CORRECT ANSWERS
a=-20s-sans✔✔-7a+4+8a=12-28siss______________
x=1s-sans✔✔8x+2(3x-6)=9-7xsiss_____________
x=s-3/8s-sans✔✔3/4xs+s1/3=x/8+1/6siss_________
inconsistent,s(doessnotsequals0)s-sans✔✔-15s+27+5(3s-4)=0siss__________,_____
IR,s0=0s-sans✔✔3(2g+6)-6g-18=0siss_________,___
conditional,st=4s-sans✔✔3(28t+8)=12(3t+18)siss__________,____
m=s1,sm=s-1.7s-sans✔✔/6m+2/=8siss_____,s______
x=s5,sx=s-7s-sans✔✔4/x+1/-5=19siss_____,s_____
doessnotsequalszeros-sans✔✔1/5s/x-3/=-18siss____,_____
t=-6s-sans✔✔/t+6/=0siss_____
a+b-r=ss-sans✔✔a+bs=ss+rsforsss__________
x=2s8/11shourss-
sans✔✔Onesmaidscanscleanstheshousesins5shours.sAnothersmaidscansdosthesjobsins6shour
s.sHowslongswillsitstakesthemstosdosthesjobsworkingstogether?
QsIIs-sans✔✔(-20,3)sissinsQ____
ysaxiss-sans✔✔(0,-19)sissins____
m:s(5.5,4)sd:s√101siss10.05s-sans✔✔(5,-1)sands(6,9)smidpointsandsdistancesis:
R:2sC:(4,0)s-sans✔✔Findsthescenters&sradiussofs(x-4)2+y2=4
, R:s√28sC:s(-4,-5)s-sans✔✔Findsthescenters&sradiussofsx2+y2+8x+10y+11=-2
m:s-7s-sans✔✔Findsthesslopesofs(6,-3)sands(5,4)
undefineds-sans✔✔Findsthesslopesofs(7,-9)sands(7,4)
y=s-2/3x+13/3s-sans✔✔Findsthesequationsofstheslinesthroughs(2,3)swithsslopes-2/3
m:s4,sy=4x+15s-sans✔✔Puts(-5,-5)sands(-2,7)sinsslope-interceptsform
y=6/5x+4/5s-
sans✔✔Changesthesequationstosslopesinterceptsformsandsidentifysthesslopesandsysintercep
ts-6x+5y=4
m:s8/9s-sans✔✔Findsthesslopesofsaslinesperpendicularstos9x+8y=-5
m=13s-sans✔✔Findsthesslopesofsaslinesparallelstosy=13x-6
x=6,sx=-5s-sans✔✔Solvesthesequationsbysfactoringsx2-x=30
x=3,sx=-10s-sans✔✔Solvesthesequationsbysfactorings5x2+8x-4=0
p:s-2/7s-s5/7√3sandsp:-2/7s+s5/7√3s-
sans✔✔Usesthessquaresrootspropertystosfindsallssolutionsstos(7p+2)2=75
z=s-7+-√19s-sans✔✔Completesthessquare:sz2+14z+30=0
3+i,s3-is-
sans✔✔Findsthesrealsorsimaginaryssolutionssbysusingsthesquadraticsformulasforsx2-
6x+10=0
-5/8+-s√57/8s-
sans✔✔Findsthesrealsorsimaginaryssolutionssbysusingsthesquadraticsformulasfors4x2+5x=2
x=6,sx=-2s-sans✔✔Findsthessolutionsstosthesequationsbysreadingsthesgraphsofs-
x2+4x+12=0
0=sonessolutions-
sans✔✔Statesthesvaluesofsthesdiscriminantsandsthesnumbersofsrealssolutionssofs9x2-
6x+1=0
(-2,infinity)s-sans✔✔Solvesthesinequalitys18x+9>3(5x+1)
[-3,infinity}s-sans✔✔Solvesthesinequalitys7x+6>8x+9
