part 1: place value and rounding part 2: comparing and ordering … · 2020-06-03 · multiply the...

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Summer Math Requirement Name:_________________________________________ Course: Pre-Algebra/Pre-Algebra Honors Date:_______________________Period:____________ Directions: Please complete the following problem set over the summer and turn it in on the first day of school. The following skills are considered prerequisite skills for the Pre-Algebra course. All work should be done in pencil and no calculators are to be used. Show all supporting work – no mental math! If possible, please show your work in the space provided. ***If additional paper must be used, be sure to include the problem number and the original question. Part 1: Place Value and Rounding Round the following numbers to the given place value. 1. 7.095 to the nearest hundredth 2. 837.4332 to the nearest whole number 3. 9,323,585 to the nearest ten thousand 4. 928.3472 to the nearest thousandth Part 2: Comparing and Ordering Numbers Fill in the blank with the correct symbol < , > , = . 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 Order the following from least to greatest. 17. 0.73, 0.7, 0.45, 0.63, 0.1 Part 3: Fraction Computations Add the following fractions. Write your final answer in simplest form. 18. ! ! + ! ! =_____________ 19. ! ! + ! ! = _____________ 20. 1 ! ! + ! ! = ___________ Subtract the following fractions. Write your final answer in simplest form. 21. ! ! ! ! =_____________ 22. 2 ! ! ! ! =_____________ 23. ! ! ! ! =_____________

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Page 1: Part 1: Place Value and Rounding Part 2: Comparing and Ordering … · 2020-06-03 · Multiply the following fractions. Write your final answer in simplest form. 24. 2! 25. ! 26

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.!

!− !

!=_____________

Page 2: Part 1: Place Value and Rounding Part 2: Comparing and Ordering … · 2020-06-03 · Multiply the following fractions. Write your final answer in simplest form. 24. 2! 25. ! 26

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.!

!= ___________

Page 3: Part 1: Place Value and Rounding Part 2: Comparing and Ordering … · 2020-06-03 · Multiply the following fractions. Write your final answer in simplest form. 24. 2! 25. ! 26

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

Page 4: Part 1: Place Value and Rounding Part 2: Comparing and Ordering … · 2020-06-03 · Multiply the following fractions. Write your final answer in simplest form. 24. 2! 25. ! 26

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?

Page 5: Part 1: Place Value and Rounding Part 2: Comparing and Ordering … · 2020-06-03 · Multiply the following fractions. Write your final answer in simplest form. 24. 2! 25. ! 26

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

Page 6: Part 1: Place Value and Rounding Part 2: Comparing and Ordering … · 2020-06-03 · Multiply the following fractions. Write your final answer in simplest form. 24. 2! 25. ! 26

Part10:CombiningLikeTermsSimplify.83.4𝑥 + 6𝑥

84.−7𝑦 + 4𝑦 + 20

Part11:DistributivePropertyUsetheDistributivePropertytosimplifythefollowing.85.2(𝑥 − 6)

86.5(4𝑥 + 3)