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)