Ati teas math practice Questions And
Answers
(X+3)2=3
WHICHpOFpTHEpFOLLOWINGpISpTHEpCORRECTpSOLUTIONpTOpTHEpEQUATIONpAB
OVE
xp=p3p±p√3
xp=p-3p±p√3
xp=p-6
xp=p6p-pCORRECTppANSWER-ANSWERpxp=p-3p±p√3
Thispispthepresultpofptakingpthepsquareprootpofpbothpsidespofpthepequation,pthenpsubtractingp3
pfrompbothpsidesptopisolatepx.pWhenpintroducingpapsquareprootptopsolvepanpequation,ptheproo
tpwillphavepbothppositivepandpnegativepvalues.
ApBASICpCELLpPHONEpPLANpCOSTSp$50pPERpMONTHpANDpINCLUDESp200pMINSpOF
pCALLpTIME.pIFpTHEpCUSTOMERpUSESpMOREpTHANp200pMINSpINpApMONTH,pTHEYpA
REpCHARGEDp0.03pPERpMINpUSED.pIFpNpREPRESENTSpTHEpNUMBERpOFpMINSpUSE
D,pWHICHpOFpTHEpFOLLOWINGpRESPRESENTSpTHEpMONTHLYpCOSTp(Cp)pWHENpM
OREpTHANp200pMINSpAREpUSED
Cp=p50p+p0.03(n)
Cp=p50p+p0.03(np+p200)
Cp=p50p+p0.03(np-p200)
Cp=p50p+p0.03(200p-pn)p-pCORRECTppANSWER-Cp=p50p+p0.03(np-p200)
Ifpmorepthanp200pminutesparepused,pthepcostpwillpequalp$50pplusp$0.03ptimespthepdifference
pbetweenpthepnumberpofpminutespusedpandp200.
ApBOXpHASpApLENGTHpOFp2p½pFEETpANDpApWIDTHpOFp3p1/3pFEETpANDpApHEAIGHTp
OFp4p¼pFEET.pTHEpFORMULApOFpVOLUMEpISpLpTIMESpWpTIMESpH.pWHICHpOFpTHEpF
OLLOWINGpISpTHEpVOLUMEpOFpTHEpBOXpINpCUBICpFFET
10p1/12pfeet3
24p1/24pfeet3
24p3/9pfeet3
35p5/12pfeet3p-pCORRECTppANSWER-35p5/12
ApCHILDpWEIGHSp54pPOUNDS,pWHICHpOFpTHEpFOLLOWINGpISpTHEpAPPROPRIATE
pESTIMATEpOFpTHISpCILDSpMASSpINpKG
25
40
75
100p-pCORRECTppANSWER-ANSWERp25
, ApCUSTOMERpATpApRESTAURANTpLEAVESp$80pONpTHEpTABLEpTOpPAYpFORpTHEpF
OOR,pAp15%pTIPpANDp8%pSALESpTAX.pIFpBOTHpTIPpANDpSALESpTAXpWEREpCALCUL
ATEDpFROMpTHEpCOSTpOFpTHEpFOODpWHICHpOFpTHEpFOLLOWINGpWASpTHEpCOS
TpOFpTHEpFOODpROUNDEDpTOpTHEpNEARESTpCENT
$65.04
$61.60
$62.56
$57.00p-pCORRECTppANSWER-ANSWERp$65.04
ApHOMEOWNERpWANTSpTOpINSTALLpVINYLpSIDINGpONpTHEpEXTERIORpOFpTHEpH
OUSE.pTHEpTOTALpAREApONpWHICHpTHEpSIDINGpISpTOpBEpINSTALLEDpISp225pSQpF
EET.pTOpACCOUNTpFORpWASTEpTHEYpNEEDpTOpBUYp10%pADDITIONALpMATERIAL.
pWHATpISpTHEpTOTALpAMOUNTpINpSQpFEETpOFpMATERIALpTHEpHOMEOWNERpSHO
ULDpBUY?pROUNDp-pCORRECTppANSWER-ANSWERp247.5
ApJOGGERpONpApTREADMILLpISpJOGGINGpATp5pMILESpPERpHOUR.pWHICHpOFpTHEp
FOLLOWINGpISpTHEpTIMEpITpWILLpTAKEpTHEMpTOpJOGp1pMILES
5pMINS
6pMINS
12pMINS
20pMINSp-pCORRECTppANSWER-ANSWERp12pMIN
ApRECIPEpCALLSpFORp5pCUPSpOFpFLOURp1p½pCUPSpOFpSUGARpANDp1/3pCUPpOFpC
OCOA.pWHICHpOFpTHEpFOLLOWINGpISpTHEpAMOUNTpOFpDRYpINGREDIENTSpINpTH
EpRECIPE.
5p1/6pcups
6p1/6pcups
6p5/6pcups
7p1/6pcupsp-pCORRECTppANSWER-ANSWERp6p5/6pcups
Thepfirstpsteppwhenpaddingpfractionspisptopdeterminepthepleastpcommonpdenominatorpforpth
epfractions.pThispleadsptopthepfollowingpexpression:p5p+p13/6p+p2/6.pThepsumpofpthispisp65/6.
ApSHOPPERpATpApLOCALpGROCERYpSTOREpWEIGHSpApBAGpOFpAPPLES.pTHEpWEI
GHTpISp2.4pLBS.pWHICHpOFpTHEpFOLLOWINGpISpTHEpWEIGHTpOFpTHEpAPPLESpINpO
Z
6.7poz
18.4poz
13.6poz
38.4pozp-pCORRECTppANSWER-ANSWER
38.4pOZ
ApSTATEpTROOPERpCOLLECTEDpANDpRECORDEDpSPEEDSpOFpSEVERALpCARSpA
TpApSETpLOCATIONpONpApLOCALpHIGHWAY.pTHEpSPEEDSpINpMILESpPERpHOURpAR
Answers
(X+3)2=3
WHICHpOFpTHEpFOLLOWINGpISpTHEpCORRECTpSOLUTIONpTOpTHEpEQUATIONpAB
OVE
xp=p3p±p√3
xp=p-3p±p√3
xp=p-6
xp=p6p-pCORRECTppANSWER-ANSWERpxp=p-3p±p√3
Thispispthepresultpofptakingpthepsquareprootpofpbothpsidespofpthepequation,pthenpsubtractingp3
pfrompbothpsidesptopisolatepx.pWhenpintroducingpapsquareprootptopsolvepanpequation,ptheproo
tpwillphavepbothppositivepandpnegativepvalues.
ApBASICpCELLpPHONEpPLANpCOSTSp$50pPERpMONTHpANDpINCLUDESp200pMINSpOF
pCALLpTIME.pIFpTHEpCUSTOMERpUSESpMOREpTHANp200pMINSpINpApMONTH,pTHEYpA
REpCHARGEDp0.03pPERpMINpUSED.pIFpNpREPRESENTSpTHEpNUMBERpOFpMINSpUSE
D,pWHICHpOFpTHEpFOLLOWINGpRESPRESENTSpTHEpMONTHLYpCOSTp(Cp)pWHENpM
OREpTHANp200pMINSpAREpUSED
Cp=p50p+p0.03(n)
Cp=p50p+p0.03(np+p200)
Cp=p50p+p0.03(np-p200)
Cp=p50p+p0.03(200p-pn)p-pCORRECTppANSWER-Cp=p50p+p0.03(np-p200)
Ifpmorepthanp200pminutesparepused,pthepcostpwillpequalp$50pplusp$0.03ptimespthepdifference
pbetweenpthepnumberpofpminutespusedpandp200.
ApBOXpHASpApLENGTHpOFp2p½pFEETpANDpApWIDTHpOFp3p1/3pFEETpANDpApHEAIGHTp
OFp4p¼pFEET.pTHEpFORMULApOFpVOLUMEpISpLpTIMESpWpTIMESpH.pWHICHpOFpTHEpF
OLLOWINGpISpTHEpVOLUMEpOFpTHEpBOXpINpCUBICpFFET
10p1/12pfeet3
24p1/24pfeet3
24p3/9pfeet3
35p5/12pfeet3p-pCORRECTppANSWER-35p5/12
ApCHILDpWEIGHSp54pPOUNDS,pWHICHpOFpTHEpFOLLOWINGpISpTHEpAPPROPRIATE
pESTIMATEpOFpTHISpCILDSpMASSpINpKG
25
40
75
100p-pCORRECTppANSWER-ANSWERp25
, ApCUSTOMERpATpApRESTAURANTpLEAVESp$80pONpTHEpTABLEpTOpPAYpFORpTHEpF
OOR,pAp15%pTIPpANDp8%pSALESpTAX.pIFpBOTHpTIPpANDpSALESpTAXpWEREpCALCUL
ATEDpFROMpTHEpCOSTpOFpTHEpFOODpWHICHpOFpTHEpFOLLOWINGpWASpTHEpCOS
TpOFpTHEpFOODpROUNDEDpTOpTHEpNEARESTpCENT
$65.04
$61.60
$62.56
$57.00p-pCORRECTppANSWER-ANSWERp$65.04
ApHOMEOWNERpWANTSpTOpINSTALLpVINYLpSIDINGpONpTHEpEXTERIORpOFpTHEpH
OUSE.pTHEpTOTALpAREApONpWHICHpTHEpSIDINGpISpTOpBEpINSTALLEDpISp225pSQpF
EET.pTOpACCOUNTpFORpWASTEpTHEYpNEEDpTOpBUYp10%pADDITIONALpMATERIAL.
pWHATpISpTHEpTOTALpAMOUNTpINpSQpFEETpOFpMATERIALpTHEpHOMEOWNERpSHO
ULDpBUY?pROUNDp-pCORRECTppANSWER-ANSWERp247.5
ApJOGGERpONpApTREADMILLpISpJOGGINGpATp5pMILESpPERpHOUR.pWHICHpOFpTHEp
FOLLOWINGpISpTHEpTIMEpITpWILLpTAKEpTHEMpTOpJOGp1pMILES
5pMINS
6pMINS
12pMINS
20pMINSp-pCORRECTppANSWER-ANSWERp12pMIN
ApRECIPEpCALLSpFORp5pCUPSpOFpFLOURp1p½pCUPSpOFpSUGARpANDp1/3pCUPpOFpC
OCOA.pWHICHpOFpTHEpFOLLOWINGpISpTHEpAMOUNTpOFpDRYpINGREDIENTSpINpTH
EpRECIPE.
5p1/6pcups
6p1/6pcups
6p5/6pcups
7p1/6pcupsp-pCORRECTppANSWER-ANSWERp6p5/6pcups
Thepfirstpsteppwhenpaddingpfractionspisptopdeterminepthepleastpcommonpdenominatorpforpth
epfractions.pThispleadsptopthepfollowingpexpression:p5p+p13/6p+p2/6.pThepsumpofpthispisp65/6.
ApSHOPPERpATpApLOCALpGROCERYpSTOREpWEIGHSpApBAGpOFpAPPLES.pTHEpWEI
GHTpISp2.4pLBS.pWHICHpOFpTHEpFOLLOWINGpISpTHEpWEIGHTpOFpTHEpAPPLESpINpO
Z
6.7poz
18.4poz
13.6poz
38.4pozp-pCORRECTppANSWER-ANSWER
38.4pOZ
ApSTATEpTROOPERpCOLLECTEDpANDpRECORDEDpSPEEDSpOFpSEVERALpCARSpA
TpApSETpLOCATIONpONpApLOCALpHIGHWAY.pTHEpSPEEDSpINpMILESpPERpHOURpAR
