Algebra 1 Final Exa
nk nk nk
m
ADVANCED ALGEBRA FINAL EXAM QUESTIONS
AND ANSWERS
fornkparabolasnk-nkanswer--hownkdonkyounkfind.....
thenkvertex...nk-nkanswer---b/2a
x-interceptsnk-nkanswer--plugnkinnk0nkfornky
y-interceptsnk-nkanswer--plugnkinnk0nkfornkx
axisnkofnksymmetrynk-nkanswer--thenkknkvaluenkofnkthenkvertexnk(vertex=nk(h,k))
whatnkisnkthenkequationnkfornkankparabolank-nkanswer--y=a(x-h)^2+k
hownkdonktonkfindnkthenkmaximumnk-nkanswer--putnkinnkthenkequationnktonkthenkcalculatornkandnkclicknkthenkmaximumnkbutt
fornkequationsnkthatnklooknklikenkfractionsnk-nkanswer--hownktonkyounkfind
thenkdomainnk-nkanswer--allnkthenkvaluesnkxnkcannkbe
interceptsnk-nkanswer--x-intercepts-setnkthenknumerator=tonk0
y-intercepts-makenkx=tonkzero
asymptotesnk-nkanswer--denominator=tonkzero
ifnkthenkequationnkjustnksaysnklognk-nkanswer--thatnkmeansnklog10
whennkexpandingnkifnktherenkisnkannkexponent...nk-nkanswer--writenkthenknumbernkvaluenkinnkfrontnkofnklognkex.=nky^3=3log
whennkcondensingnkandnktherenkisnkanknegative..nk-nkanswer--thenkvaluenkgoesnkinnkthenkdenominatornkofnkthenkfraction
whennktherenkisnkankfractionnkinnkfrontnkofnkthenklognkandnkthenkproblemnkneedsnktonkbenkcondensed...nk-nkanswer--
thenknumbernkonnktopnkofnkthenkfractionnkgoesnkinsidenkthenkradicalnkandnkthenknumbernkonnkthenkbottomnkgoesnkoutsidenkt
nkradical
whennkexpandingnklog(xy)nk-nkanswer--itnkwouldnkbenklogxnk+nklogy
whennkdealingnkwithnklogarithmsnk+nkequalsnk-nkanswer--multiplication
whennkdealingnkwithnklogarithmsnk-nkequalsnk-nkanswer--divisionnkakankgoesnkonnkthenkbottomnkofnkthenkfraction
whennksolvingnklogarithmsnkfornkxnkthenk1stnkstepnkisnktonk-nkanswer--subtractnkornkaddnkthenkextrankvalue
whennksolvingnklogarithmsnkfornkxnkthenk2ndnkstepnkisnktonk-nkanswer--dividenkoffnkthenkextrankvalue
1nk/
nk2
nk nk nk
m
ADVANCED ALGEBRA FINAL EXAM QUESTIONS
AND ANSWERS
fornkparabolasnk-nkanswer--hownkdonkyounkfind.....
thenkvertex...nk-nkanswer---b/2a
x-interceptsnk-nkanswer--plugnkinnk0nkfornky
y-interceptsnk-nkanswer--plugnkinnk0nkfornkx
axisnkofnksymmetrynk-nkanswer--thenkknkvaluenkofnkthenkvertexnk(vertex=nk(h,k))
whatnkisnkthenkequationnkfornkankparabolank-nkanswer--y=a(x-h)^2+k
hownkdonktonkfindnkthenkmaximumnk-nkanswer--putnkinnkthenkequationnktonkthenkcalculatornkandnkclicknkthenkmaximumnkbutt
fornkequationsnkthatnklooknklikenkfractionsnk-nkanswer--hownktonkyounkfind
thenkdomainnk-nkanswer--allnkthenkvaluesnkxnkcannkbe
interceptsnk-nkanswer--x-intercepts-setnkthenknumerator=tonk0
y-intercepts-makenkx=tonkzero
asymptotesnk-nkanswer--denominator=tonkzero
ifnkthenkequationnkjustnksaysnklognk-nkanswer--thatnkmeansnklog10
whennkexpandingnkifnktherenkisnkannkexponent...nk-nkanswer--writenkthenknumbernkvaluenkinnkfrontnkofnklognkex.=nky^3=3log
whennkcondensingnkandnktherenkisnkanknegative..nk-nkanswer--thenkvaluenkgoesnkinnkthenkdenominatornkofnkthenkfraction
whennktherenkisnkankfractionnkinnkfrontnkofnkthenklognkandnkthenkproblemnkneedsnktonkbenkcondensed...nk-nkanswer--
thenknumbernkonnktopnkofnkthenkfractionnkgoesnkinsidenkthenkradicalnkandnkthenknumbernkonnkthenkbottomnkgoesnkoutsidenkt
nkradical
whennkexpandingnklog(xy)nk-nkanswer--itnkwouldnkbenklogxnk+nklogy
whennkdealingnkwithnklogarithmsnk+nkequalsnk-nkanswer--multiplication
whennkdealingnkwithnklogarithmsnk-nkequalsnk-nkanswer--divisionnkakankgoesnkonnkthenkbottomnkofnkthenkfraction
whennksolvingnklogarithmsnkfornkxnkthenk1stnkstepnkisnktonk-nkanswer--subtractnkornkaddnkthenkextrankvalue
whennksolvingnklogarithmsnkfornkxnkthenk2ndnkstepnkisnktonk-nkanswer--dividenkoffnkthenkextrankvalue
1nk/
nk2
