Algebra 1 Final Exa
nk nk nk
m
ALGEBRA 1A - FINAL EXAM QUESTIONS AND
ANSWERS
partnka:nkmenalnkwantsnktonkknownkthenkminimumnknumbernkofnkpages,nkp,nkshenkmustnkreadnkduringnkeachnkofnkthosenk4nk
eeksnktonkmeetnkhernkgoal.
partnkb:nkwhatnkisnkthenkminimumnknumbernkofnkpagesnkmenalnkmustnkreadnkduringnkeachnkofnkthosenk4nkweeksnktonkmeetn
ernkgoal?nkassumenkshenkwillnkreadnkfullnkpages,nknotnkpartialnkpages.nk-nkpartnka:nk50nk+nk45nk+nk4pnkXXX<=nk625
partnkb:nkXXXnk132.5
partnka:nkconsidernkthenkfunctionnkrepresentednkbynkynk=nkx^2nk+nk8xnk+nk10.nkwhichnkequationnkrepresentsnkannkequivalen
unctionnkafternkcompletingnkthenksquare?
partnkb:nkconsidernkthenkfunctionnkrepresentednkbynkynk=nk−4(xnk−nk1)^2nk+nk3.nk-nkpartnka:nkynk=nk(xnk+nk4)^2nk-nk6
partnkb:nkmaximum,nk(1,nk3)
whatnkisnkannkexpressionnkthatnkisnkequivalentnktonk6x^2nk−nk19xnk−nk7?nk-nk(2xnk-nk7)(3xnk+nk1)
baileynkdrawsnkankcirclenkonnkanklargenkpiecenkofnkpaper.nkthennkshenkcutsnkoutnkthenkcircle,nkcutsnkalongnkthenkradiusnkofnkth
kcircle,nkandnktapesnkthenksidesnktogethernktonkformnkankcone.nkbaileynkknowsnkthenkvolumenkandnkradiusnkofnkhernkcone,nka
dnkshenkwantsnktonkdeterminenkthenkheight.nkwhichnkequationnkshowsnkthenkformulanksolvednkfornkh?nk-nkhnk=nk3v/pi*r^2
usenkthenkmethodnkofnkcompletingnkthenksquarenktonktransformnkthenkequationnk3x^2nk−nk12xnk+nk8nk=nk0.nkwhichnkequation
showsnkthenktransformednkequation?nk-nk3(xnk-nk2)^2nk=nk4
whatnkstepsnkcouldnkyounkperformnktonksolvenkthenkequationnk4(2/5xnk+nk7)nk=nk−8nk−nk4/5x?nk-
nkdistributenk4nktonkgetnk8/5xnk+nk28
addnk4/5xnktonkbothnksidesnkofnkthenkequationnkandnksubtractnk28nkfromnkbothnksidesnkofnkthenkequation
dividenkbothnksidesnkofnkthenkequationnkbynk12/5
whatnkisnkthenksolutionnkofnkthenksystemnkofnkequations?
{1/2xnk=nk10nk−nk1/2y,nk8nk=nkxnk−nky}nk-nk(14,nk6)
partnka:nkthenkstorenkhadnk$0nkprofitnkfirstnkinnkmonthnk_____nkandnkthennkinnkmonthnk____.
partnkb:nkthenkmaximumnkprofitnkofnk$____nkoccurrednkinnkmonthnk___.nk-nkpartnka:nk4,nk10
partnkb:nkXXnk$9nkXXnk7
whatnkisnkthenksolutionnktonk12xnk=nk4x^2nk+nk9?nk-nkxnk=nk3/2
whichnkexpressionnkisnkequivalentnktonkthenkproductnkofnkthenkexpressions?nk-nk10x^2nk−nk14xnk−nk12
1nk/
nk3
nk nk nk
m
ALGEBRA 1A - FINAL EXAM QUESTIONS AND
ANSWERS
partnka:nkmenalnkwantsnktonkknownkthenkminimumnknumbernkofnkpages,nkp,nkshenkmustnkreadnkduringnkeachnkofnkthosenk4nk
eeksnktonkmeetnkhernkgoal.
partnkb:nkwhatnkisnkthenkminimumnknumbernkofnkpagesnkmenalnkmustnkreadnkduringnkeachnkofnkthosenk4nkweeksnktonkmeetn
ernkgoal?nkassumenkshenkwillnkreadnkfullnkpages,nknotnkpartialnkpages.nk-nkpartnka:nk50nk+nk45nk+nk4pnkXXX<=nk625
partnkb:nkXXXnk132.5
partnka:nkconsidernkthenkfunctionnkrepresentednkbynkynk=nkx^2nk+nk8xnk+nk10.nkwhichnkequationnkrepresentsnkannkequivalen
unctionnkafternkcompletingnkthenksquare?
partnkb:nkconsidernkthenkfunctionnkrepresentednkbynkynk=nk−4(xnk−nk1)^2nk+nk3.nk-nkpartnka:nkynk=nk(xnk+nk4)^2nk-nk6
partnkb:nkmaximum,nk(1,nk3)
whatnkisnkannkexpressionnkthatnkisnkequivalentnktonk6x^2nk−nk19xnk−nk7?nk-nk(2xnk-nk7)(3xnk+nk1)
baileynkdrawsnkankcirclenkonnkanklargenkpiecenkofnkpaper.nkthennkshenkcutsnkoutnkthenkcircle,nkcutsnkalongnkthenkradiusnkofnkth
kcircle,nkandnktapesnkthenksidesnktogethernktonkformnkankcone.nkbaileynkknowsnkthenkvolumenkandnkradiusnkofnkhernkcone,nka
dnkshenkwantsnktonkdeterminenkthenkheight.nkwhichnkequationnkshowsnkthenkformulanksolvednkfornkh?nk-nkhnk=nk3v/pi*r^2
usenkthenkmethodnkofnkcompletingnkthenksquarenktonktransformnkthenkequationnk3x^2nk−nk12xnk+nk8nk=nk0.nkwhichnkequation
showsnkthenktransformednkequation?nk-nk3(xnk-nk2)^2nk=nk4
whatnkstepsnkcouldnkyounkperformnktonksolvenkthenkequationnk4(2/5xnk+nk7)nk=nk−8nk−nk4/5x?nk-
nkdistributenk4nktonkgetnk8/5xnk+nk28
addnk4/5xnktonkbothnksidesnkofnkthenkequationnkandnksubtractnk28nkfromnkbothnksidesnkofnkthenkequation
dividenkbothnksidesnkofnkthenkequationnkbynk12/5
whatnkisnkthenksolutionnkofnkthenksystemnkofnkequations?
{1/2xnk=nk10nk−nk1/2y,nk8nk=nkxnk−nky}nk-nk(14,nk6)
partnka:nkthenkstorenkhadnk$0nkprofitnkfirstnkinnkmonthnk_____nkandnkthennkinnkmonthnk____.
partnkb:nkthenkmaximumnkprofitnkofnk$____nkoccurrednkinnkmonthnk___.nk-nkpartnka:nk4,nk10
partnkb:nkXXnk$9nkXXnk7
whatnkisnkthenksolutionnktonk12xnk=nk4x^2nk+nk9?nk-nkxnk=nk3/2
whichnkexpressionnkisnkequivalentnktonkthenkproductnkofnkthenkexpressions?nk-nk10x^2nk−nk14xnk−nk12
1nk/
nk3
