ASVAB Practice Questions with
Answers 2025
IfA40%AisAequalAtoAtheAfractionAx/30,AwhatAisAtheAvalueAofAx?
A.A0.4
B.A15
C.A1,200
D.A12A-AcorrectAanswers-ChangeA40%AtoAaAdecimalAandAwriteAanAequationAtoAsolveAforAx.
0.4A=Ax/30
MultiplyAbothAsidesAbyA30.AYouAareA"undoing"AtheAdivision.
WhichAofAtheAfollowingAisAtheAsmallestAprimeAnumberAgreaterAthanA200?
A.A201.
B.A205.
C.A211.
D.A214.A-AcorrectAanswers-
1.AAAprimeAnumberAisAaAnumberAlargerAthanA1AthatAhasAonlyAitselfAandA1AasAfactors.A(ItAcanA
beAevenlyAdividedAonyAbyAitselfAandAbyA1.)A201AisAdivisibleAbyA3;A205AisAdivisibleAbyA5;A211,A
however,AisAaAprimeAnumber.
TheAexpressionA"5Afactorial"Aequals
A.A125.
B.A120.
C.A25.
D.A10.A-AcorrectAanswers-
.ATheAproductAofAallAintegersAfromA1AtoAxAisAcalledAtheAxAfactorial.ATheAproductAofAallAnumbe
rsAfromA1AtoA5AisA5Afactorial.AThus
(5)(4)(3)(2)(1)A=A20A(3)(2)(1)
=A60A(2)(1)
=A120A(1)A=A120
TheAexpressionA5Afactorial"AisAequalAtoA120
WhatAisAtheAresultAofAsubtractingA3x²A-A5xA-A1AfromA8x²A+A2xA+A9?
A.A5x²A-A3xA-A10
B.A-5x²A-A3xA-A10
C.A5x²A+7xA-A8
D.A-5x²A-A7xA+A8A-AcorrectAanswers-
ToAsubtractAoneApolynomialAfromAanother,AyouAchangeAtheAsignsAofAtheAtermsAinAtheAsubtr
ahend.AFirstAwriteAtheAexampleAasAaAsubtractionAinAarithmetic.
, (From)A8x²A+A2xA-A9
(Take)A3x²A-A5xA-A1
ThenAchangeAtheAsignsAofAtheAtermsAinAtheAbottomArowA(theAsubtrahend)AandAcombineAter
msAthatAareAalike.A
8x²A+A2xA-A9
-3x²A+A5xA+A1
___________
5x²A+A7xA-A8
WhatAisAtheAmeaningAofAtheAstatementA-30A<A-5?
A.A30AisAgreaterAthanA5.
B.A30AisAlessAthanAminusA5.
C.ANegativeA30AisAlessAthanAnegativeA5.
D.ANegativeA30AisAgreaterAthanAnegativeA5.A-AcorrectAanswers-
C.ANegativeA30AisAlessAthanAnegativeA5...InAdecidingAwhetherAaAnumberAisAgreaterAofAlessAt
hanAanother,AitAhelpsAtoAuseAaAnumberAline.
-------.-------.-------.-------.-------.-------.-------.-------.------.------.------.------
__-30___-25__-20__-15__-10__-5____0___5___10__15___20A
OnAtheAnumberAlineAabove,A-5isAtoAtheAleftAofA0AandAis,Atherefore,AlessAthanA0,AbutA-
50AisAtoAtheAleftAofA-5.AThisAmakesA-30AlessAthanA-
5.ATheA<AsignAisAaAsymbolAofAinequality,AmeaningA"lessAthan".ATheAstatementA(-30A<A-
5)AmeansA"negativeA30AisAlessAthanAnegativeA5."
SolveAforAx:A8xA-A2A-A5xA=A8.
A.AxA=A1.3
B.AxA=A2½
C.AxA=A3AandA1/3
D.AxA=A-7A-AcorrectAanswers-
C.AxA=A3AandA1/3..AToAsolveAforAx,AcombineAallAsimilarAterms,AandAsetAtheAequationAequalAto
Azero.
(8xA-A5x)A+A(-2A-A8)A=A0
DoAtheAoperationsAinsideAtheAparenthesis.
3xA-A10A=A0
Next,AaddA10AtoAeachAside.AYouAareAundoingAtheAsubtraction.
3xA-A10A+A10A=A0A+A10
3xA=A10
Finally,AdivideAeachAsideAbyA3AtoAfindAtheAvalueAofAx>AYouAareAundoingAtheAmultiplication.
AAwomanAhasA$500AinAaAbankAaccount.AEveryAweek,AsheAwritesAoutAaAcheckAforA$50.AIfAsh
eAdoesn'tAmakeAanyAnewAdeposits,AwhatAwillAherAbankAaccountAholdAxAweeksAfromAnow?
A.A$500A+A$50x
B.A$500A-A$50x
C.A$500A-Ax
Answers 2025
IfA40%AisAequalAtoAtheAfractionAx/30,AwhatAisAtheAvalueAofAx?
A.A0.4
B.A15
C.A1,200
D.A12A-AcorrectAanswers-ChangeA40%AtoAaAdecimalAandAwriteAanAequationAtoAsolveAforAx.
0.4A=Ax/30
MultiplyAbothAsidesAbyA30.AYouAareA"undoing"AtheAdivision.
WhichAofAtheAfollowingAisAtheAsmallestAprimeAnumberAgreaterAthanA200?
A.A201.
B.A205.
C.A211.
D.A214.A-AcorrectAanswers-
1.AAAprimeAnumberAisAaAnumberAlargerAthanA1AthatAhasAonlyAitselfAandA1AasAfactors.A(ItAcanA
beAevenlyAdividedAonyAbyAitselfAandAbyA1.)A201AisAdivisibleAbyA3;A205AisAdivisibleAbyA5;A211,A
however,AisAaAprimeAnumber.
TheAexpressionA"5Afactorial"Aequals
A.A125.
B.A120.
C.A25.
D.A10.A-AcorrectAanswers-
.ATheAproductAofAallAintegersAfromA1AtoAxAisAcalledAtheAxAfactorial.ATheAproductAofAallAnumbe
rsAfromA1AtoA5AisA5Afactorial.AThus
(5)(4)(3)(2)(1)A=A20A(3)(2)(1)
=A60A(2)(1)
=A120A(1)A=A120
TheAexpressionA5Afactorial"AisAequalAtoA120
WhatAisAtheAresultAofAsubtractingA3x²A-A5xA-A1AfromA8x²A+A2xA+A9?
A.A5x²A-A3xA-A10
B.A-5x²A-A3xA-A10
C.A5x²A+7xA-A8
D.A-5x²A-A7xA+A8A-AcorrectAanswers-
ToAsubtractAoneApolynomialAfromAanother,AyouAchangeAtheAsignsAofAtheAtermsAinAtheAsubtr
ahend.AFirstAwriteAtheAexampleAasAaAsubtractionAinAarithmetic.
, (From)A8x²A+A2xA-A9
(Take)A3x²A-A5xA-A1
ThenAchangeAtheAsignsAofAtheAtermsAinAtheAbottomArowA(theAsubtrahend)AandAcombineAter
msAthatAareAalike.A
8x²A+A2xA-A9
-3x²A+A5xA+A1
___________
5x²A+A7xA-A8
WhatAisAtheAmeaningAofAtheAstatementA-30A<A-5?
A.A30AisAgreaterAthanA5.
B.A30AisAlessAthanAminusA5.
C.ANegativeA30AisAlessAthanAnegativeA5.
D.ANegativeA30AisAgreaterAthanAnegativeA5.A-AcorrectAanswers-
C.ANegativeA30AisAlessAthanAnegativeA5...InAdecidingAwhetherAaAnumberAisAgreaterAofAlessAt
hanAanother,AitAhelpsAtoAuseAaAnumberAline.
-------.-------.-------.-------.-------.-------.-------.-------.------.------.------.------
__-30___-25__-20__-15__-10__-5____0___5___10__15___20A
OnAtheAnumberAlineAabove,A-5isAtoAtheAleftAofA0AandAis,Atherefore,AlessAthanA0,AbutA-
50AisAtoAtheAleftAofA-5.AThisAmakesA-30AlessAthanA-
5.ATheA<AsignAisAaAsymbolAofAinequality,AmeaningA"lessAthan".ATheAstatementA(-30A<A-
5)AmeansA"negativeA30AisAlessAthanAnegativeA5."
SolveAforAx:A8xA-A2A-A5xA=A8.
A.AxA=A1.3
B.AxA=A2½
C.AxA=A3AandA1/3
D.AxA=A-7A-AcorrectAanswers-
C.AxA=A3AandA1/3..AToAsolveAforAx,AcombineAallAsimilarAterms,AandAsetAtheAequationAequalAto
Azero.
(8xA-A5x)A+A(-2A-A8)A=A0
DoAtheAoperationsAinsideAtheAparenthesis.
3xA-A10A=A0
Next,AaddA10AtoAeachAside.AYouAareAundoingAtheAsubtraction.
3xA-A10A+A10A=A0A+A10
3xA=A10
Finally,AdivideAeachAsideAbyA3AtoAfindAtheAvalueAofAx>AYouAareAundoingAtheAmultiplication.
AAwomanAhasA$500AinAaAbankAaccount.AEveryAweek,AsheAwritesAoutAaAcheckAforA$50.AIfAsh
eAdoesn'tAmakeAanyAnewAdeposits,AwhatAwillAherAbankAaccountAholdAxAweeksAfromAnow?
A.A$500A+A$50x
B.A$500A-A$50x
C.A$500A-Ax
