SummerMathRequirementName:_________________________________________Course:Pre-Algebra/Pre-AlgebraHonorsDate:_______________________Period:____________Directions:Pleasecompletethefollowingproblemsetoverthesummerandturnitinonthefirstdayofschool.ThefollowingskillsareconsideredprerequisiteskillsforthePre-Algebracourse.Allworkshouldbedoneinpencilandnocalculatorsaretobeused.Showallsupportingwork–nomentalmath!Ifpossible,pleaseshowyourworkinthespaceprovided.***Ifadditionalpapermustbeused,besuretoincludetheproblemnumberandtheoriginalquestion.
Part1:PlaceValueandRoundingRoundthefollowingnumberstothegivenplacevalue.1.7.095tothenearesthundredth
2.837.4332tothenearestwholenumber
3.9,323,585tothenearesttenthousand
4.928.3472tothenearestthousandth
Part2:ComparingandOrderingNumbersFillintheblankwiththecorrectsymbol < ,> ,𝒐𝒓 = .5. 7______ !"
!
6.−8______− 3
7.−5______1
8.9______ !"
!
9. !"
!______ !"
!
10.− !
!______− !
!
11.0.6______0.2
12.−1.8______− 1.3
13.0.25______ !
!
14. 3 !
!______ !"
!
15. !"
!______ !"
!
16. −3______− 10
Orderthefollowingfromleasttogreatest.17.0.73, 0.7, 0.45,−0.63,−0.1
Part3:FractionComputationsAddthefollowingfractions.Writeyourfinalanswerinsimplestform.18.!
!+ !
!=_____________
19.!
!+ !
!=_____________
20.1 !
!+ !
!=___________
Subtractthefollowingfractions.Writeyourfinalanswerinsimplestform.21.!
!− !
!=_____________
22.2 !
!− !
!=_____________
23.!
!− !
!=_____________
Multiplythefollowingfractions.Writeyourfinalanswerinsimplestform.24.2 !
!∙ !!=_____________
25.!
!∙ !!=_____________
26.!
!∙ !!=_____________
Multiplythefollowingfractions.Writeyourfinalanswerinsimplestform.27.!
!÷ !
!=_____________
28.!
!÷ !
!=_____________
29.1 !
!÷ !
!=_____________
Part4:Fractions,Decimals,andPercentsConvertthefollowingfractionstodecimals.Roundtothenearesthundredth(whennecessary).30.!
!= _________
31.!
!= _________
32.!
!= _________
Convertthefollowingdecimalstofractions.Writeyouranswerinsimplestform.33.0.125 = _____________
34.0.333 = _____________
35.0.05 = _____________
Convertthefollowingdecimalstopercents.36.0.65 = _____________
37.3.96 = _____________
38.0.08 = _____________
Convertthefollowingpercentstodecimals.Roundtothenearesthundredth(whennecessary).39.8% = _____________
40.7.12% = _____________
41.36.5% = _____________
Convertthefollowingfractionstopercents.Roundtothenearesthundredth(whennecessary).42.!
!= ___________
43.!
!= ___________
44.!
!= ___________
Convertthefollowingpercentstofractions.Writeyouranswerinsimplestform.45.20% = ___________
46.8% = ___________
47.75% = ___________
Part5:IntegerOperationsEvaluatethefollowing.48.9− 20 =
49.−20÷ (−5) =
50.2+ −12 =
51.−4− −3 =
52.40 ∙ −2 =
53.36+ −11
54.33− 33 =
55. −3 ∙ −2 =
56.17− 14 =
57.−22− 2 =
58.22÷ −2 =
59.−25+ 5 =
60.−3− −3 =
61.−10 ∙−10 =
62.!!"
!!=
63.−9+ 9 =
Part6:OrderofOperationsEvaluatethefollowingexpressionsusingtheorderofoperations.64.9 ∙ (7+ 5− 3)
65. 30÷ 6 + (3− 1)
66.45÷ 9+ 6 ∙ 5
67.5+ (21÷ 7)!
68. 6+ 26 − 17+ 2!
69.27÷ 3! − 7
70.10÷ 2 ∙ 3÷ 15
71.8− 33+ 2− 25 + 48
Part7:Mean,Median,Mode,andRangeFindthemean,median,modeandrangeforeachlistofnumbers.72.26,13,13,26,26,11,18Mean:_____________Median:________________Mode:_______________Range:______________
Part8:SimpleProblemSolving73.OnacoldChicagodaythetemperaturewas5degrees.Overthenext3hoursitdropped8degrees.Whatwasthetemperatureafterthreehours?
74.Apetshelternoticedthatduringonemonththeyadoptedtwiceasmanydogsastheydidcats.Iftheyadopted17cats,howmanydogsgotadopted?
Part9:GraphingonaCoordinatePlane.Writetheorderedpairforthegivenpoint.75.A__________76.B__________77.C__________78.D___________
Graphandlabelthegivenorderedpairsonthecoordinateplane.79.𝐴(−3,0)80.𝐵(−2,3)81.𝐶(0,4)82.𝐷 1,−5
Part10:CombiningLikeTermsSimplify.83.4𝑥 + 6𝑥
84.−7𝑦 + 4𝑦 + 20
Part11:DistributivePropertyUsetheDistributivePropertytosimplifythefollowing.85.2(𝑥 − 6)
86.5(4𝑥 + 3)
