1/4/24,g8:09gAM ATIgTEASgTESTgMathematics-withg100%gverifiedgsolutions-2023-
2024
ATI TEAS TEST MATHEMATICS-with
g g g
100% verified solutions-2023-2024
g g
Whichgofgthegfollowinggisgthegpercentagegequivalentgofg0.0016?
A. 16
B. 160
C. 1.6
D. 0.16g -
gD.gTogderivegagpercentagegfromgagdecimal,gmultiplygbyg100:g 0.0
016(100)g=g0.16
CurtisgisgtakinggagroadgtripgthroughgGermany,gwheregallgdistancegsignsgaregingmetric.g
Heg passesgagsigngthatgstatesgthegcitygofgDusseldorfgisg45gkilometersgaway.gApproximat
elyghowg fargisgthisgingmiles?
A. 42gmiles
B. 37gmiles
C. 28gmiles
D. 16gmilesg-
gC.gonegkilometergisgaboutg0.62gmiles,g 45(0.62
)g=g27.9
approximatelyg28gmiles
Ongagfloorgplangdrawngatgagscalegofg1:100,gthegareagofgagrectangulargroomgisg30gcm2.g
Whatgisg thegactualgareagofgthegroom?
A. 30,000gcm2
B. 300gm2
C. 3,000gm2
about:blank 1/59
,1/4/24,g8:09gAM ATIgTEASgTESTgMathematics-withg100%gverifiedgsolutions-2023-
2024
D. 30gm2g-
gD.gSincegtheregareg100gcmgingagmeter,gongag1:100gscalegdrawing,geachgcentimeterg re
presentsgonegmeter.gTherefore,gangareagofgonegsquaregcentimetergongthegdrawingg rep
resentsgonegsquaregmetergtingactuality.
-gSincegthegareagofgthegroomgingthegscalegdrawinggisg30gcm2,gthegroom'sgactualgareagisg30gm2.
L/100gxgW/100g=g30g cm2
lw/100g=g30gcm2g
Areag=g300,000gcm
2
300,000gcm2gx.g1m/100gcmgxg1m/100gcmg=g30m2
Mandygcangbuyg4gcontainersgofgyogurtgandg3gboxesgofgcrackersgforg$9.55.gShegcangbuy
g2g containersgofgyogurtgandg2gboxesgofgcrackersgforg$5.90.gHowgmuchgdoesgonegboxgof
gcrackersg cost?
A. $1.75
B. $2.00
C. $2.25
D. $2.50g-gC.
Thegsituationgmaygbegmodeledgbygthegsystem
:g 4xg+g3yg=g9.55
2xg+g2yg=g5.90
Multiplyinggthegbottomgequationgbyg-g2ggives:
4xg+g3yg=g9.55
about:blank 2/59
,1/4/24,g8:09gAM ATIgTEASgTESTgMathematics-withg100%gverifiedgsolutions-2023-
2024
-4xg-g4yg=g-11.80
Additiongofgthegtwogequationsggivesg-gyg=g-2.25gorgyg=g2.25.gThus,gonegboxgofgcrackersgcosts
$2.25
9.55-11.80g=g-2.25
-yg=g-2.25
-y/-1g=g-2.25/-1
yg=g2.25
1.
THEgNEXTgTWOgQUESTIONSgAREgBASEDgONgTHEgFOLLOWINGgINFORMATION:
Pernell'sgscoresgongherglastgfivegchemistrygexamsgwereg81,g92,g87,g89,gandg94.
Whatgisgthegapproximategaveragegofghergscores?
A. 81
B. 84
C. 89
D. 91g-
gC.gTogfindgthegaveragegofgPernell'sgscores,gaddgthemgupgandgthengdividegbygthe
g numberg ofgscoresg (5gingthisgcase).gIngotherg words,
81g+g92g+g87g+g89g+g94g=g443
443/5g=g89
about:blank 3/59
, 1/4/24,g8:09gAM ATIgTEASgTESTgMathematics-withg100%gverifiedgsolutions-2023-
2024
2.
THEgNEXTgQUESTIONSgAREgBASEDgONgTHEgFOLLOWINGgINFORMATION:
Pernell'sgscoresgongherglastgfivegchemistrygexamsgwereg81,g92,g87,g89,gandg94.
WhatgisgthegmediumgofgPernell'sgscores?
A. 87
B. 89
C. 92
D. 94g-gB.gTogfindgthegmedian,glistgthegseriesgofgnumbersgformgleastgtoggreatest.
Thegmiddlegnumbergrepresentsgthegmediang--
gingthisgcaseg81,g87,g89,g92,g94.g Thegnumberg89gisgingthegmiddle,gsogitgisg
thegmedian.
Gordongpurchasedgagtelevisiongwhenghisglocalgelectronicsgstoreghadgagsale.gThegtelevisi
ong wasgofferedgatg30g offgitsgoriginalgpricegofg$472.gWhatgwasgthegsalegpricegthatgGor
dongpaid?
A. $141.60
B. $225.70
C. $305.30
D. $330.40g-gD.gThegtelevisiongisg30g offgitsgoriginalgpricegofg$472.g30g ofg472gisg141.60.
(0.30)(472)g=g141.60
472g-g141.60g=g330.40
Thus,gGordongpaidg$330.40gforgthegtelevision.
Simplifygthegfollowinggexpressio
n:g (2/3)g/g(4/15)gXg(5/8)
about:blank 4/59
2024
ATI TEAS TEST MATHEMATICS-with
g g g
100% verified solutions-2023-2024
g g
Whichgofgthegfollowinggisgthegpercentagegequivalentgofg0.0016?
A. 16
B. 160
C. 1.6
D. 0.16g -
gD.gTogderivegagpercentagegfromgagdecimal,gmultiplygbyg100:g 0.0
016(100)g=g0.16
CurtisgisgtakinggagroadgtripgthroughgGermany,gwheregallgdistancegsignsgaregingmetric.g
Heg passesgagsigngthatgstatesgthegcitygofgDusseldorfgisg45gkilometersgaway.gApproximat
elyghowg fargisgthisgingmiles?
A. 42gmiles
B. 37gmiles
C. 28gmiles
D. 16gmilesg-
gC.gonegkilometergisgaboutg0.62gmiles,g 45(0.62
)g=g27.9
approximatelyg28gmiles
Ongagfloorgplangdrawngatgagscalegofg1:100,gthegareagofgagrectangulargroomgisg30gcm2.g
Whatgisg thegactualgareagofgthegroom?
A. 30,000gcm2
B. 300gm2
C. 3,000gm2
about:blank 1/59
,1/4/24,g8:09gAM ATIgTEASgTESTgMathematics-withg100%gverifiedgsolutions-2023-
2024
D. 30gm2g-
gD.gSincegtheregareg100gcmgingagmeter,gongag1:100gscalegdrawing,geachgcentimeterg re
presentsgonegmeter.gTherefore,gangareagofgonegsquaregcentimetergongthegdrawingg rep
resentsgonegsquaregmetergtingactuality.
-gSincegthegareagofgthegroomgingthegscalegdrawinggisg30gcm2,gthegroom'sgactualgareagisg30gm2.
L/100gxgW/100g=g30g cm2
lw/100g=g30gcm2g
Areag=g300,000gcm
2
300,000gcm2gx.g1m/100gcmgxg1m/100gcmg=g30m2
Mandygcangbuyg4gcontainersgofgyogurtgandg3gboxesgofgcrackersgforg$9.55.gShegcangbuy
g2g containersgofgyogurtgandg2gboxesgofgcrackersgforg$5.90.gHowgmuchgdoesgonegboxgof
gcrackersg cost?
A. $1.75
B. $2.00
C. $2.25
D. $2.50g-gC.
Thegsituationgmaygbegmodeledgbygthegsystem
:g 4xg+g3yg=g9.55
2xg+g2yg=g5.90
Multiplyinggthegbottomgequationgbyg-g2ggives:
4xg+g3yg=g9.55
about:blank 2/59
,1/4/24,g8:09gAM ATIgTEASgTESTgMathematics-withg100%gverifiedgsolutions-2023-
2024
-4xg-g4yg=g-11.80
Additiongofgthegtwogequationsggivesg-gyg=g-2.25gorgyg=g2.25.gThus,gonegboxgofgcrackersgcosts
$2.25
9.55-11.80g=g-2.25
-yg=g-2.25
-y/-1g=g-2.25/-1
yg=g2.25
1.
THEgNEXTgTWOgQUESTIONSgAREgBASEDgONgTHEgFOLLOWINGgINFORMATION:
Pernell'sgscoresgongherglastgfivegchemistrygexamsgwereg81,g92,g87,g89,gandg94.
Whatgisgthegapproximategaveragegofghergscores?
A. 81
B. 84
C. 89
D. 91g-
gC.gTogfindgthegaveragegofgPernell'sgscores,gaddgthemgupgandgthengdividegbygthe
g numberg ofgscoresg (5gingthisgcase).gIngotherg words,
81g+g92g+g87g+g89g+g94g=g443
443/5g=g89
about:blank 3/59
, 1/4/24,g8:09gAM ATIgTEASgTESTgMathematics-withg100%gverifiedgsolutions-2023-
2024
2.
THEgNEXTgQUESTIONSgAREgBASEDgONgTHEgFOLLOWINGgINFORMATION:
Pernell'sgscoresgongherglastgfivegchemistrygexamsgwereg81,g92,g87,g89,gandg94.
WhatgisgthegmediumgofgPernell'sgscores?
A. 87
B. 89
C. 92
D. 94g-gB.gTogfindgthegmedian,glistgthegseriesgofgnumbersgformgleastgtoggreatest.
Thegmiddlegnumbergrepresentsgthegmediang--
gingthisgcaseg81,g87,g89,g92,g94.g Thegnumberg89gisgingthegmiddle,gsogitgisg
thegmedian.
Gordongpurchasedgagtelevisiongwhenghisglocalgelectronicsgstoreghadgagsale.gThegtelevisi
ong wasgofferedgatg30g offgitsgoriginalgpricegofg$472.gWhatgwasgthegsalegpricegthatgGor
dongpaid?
A. $141.60
B. $225.70
C. $305.30
D. $330.40g-gD.gThegtelevisiongisg30g offgitsgoriginalgpricegofg$472.g30g ofg472gisg141.60.
(0.30)(472)g=g141.60
472g-g141.60g=g330.40
Thus,gGordongpaidg$330.40gforgthegtelevision.
Simplifygthegfollowinggexpressio
n:g (2/3)g/g(4/15)gXg(5/8)
about:blank 4/59