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Pre-Algebra

Summer Assignment

TKCS-2020

Name:____________________________

This packet should be completed over the summer and will be due on the first day of school. This assignment will be graded on completion as well as accuracy and will count as your first math grade. You MUST show your work on a separate paper to be turned in. Show all work neatly and do problems in the correct order. (number you work so it is clear what work goes with what problem) If you do not show your work points, will be deducted from your grade. Please put your final answers in the space provided. These problems are reflective of the knowledge that is prerequisite to the course Pre-Algebra. DO NOT USE A CALCULATOR.

AddingIntegers:Findeachsum__________1.𝟐𝟏 + 𝟏𝟓

__________2.–𝟏𝟏 + 𝟖𝟏

__________3.–𝟏 + 𝟑𝟗

__________4.–𝟖 + −𝟐𝟒

__________5.𝟗𝟎 + −𝟕𝟗

__________6.𝟑𝟏 + 𝟗𝟔

__________7.𝟐𝟓 + −𝟗𝟎

__________8.𝟏𝟓 + 𝟑𝟏 + −𝟐𝟎

__________9.𝟖 + 𝟒𝟏 + 𝟑𝟓

__________10.𝟏𝟖 + −𝟖𝟎 + (−𝟒𝟓)

SubtractingIntegers:Findeachdifference__________11.𝟑𝟗 − 𝟏𝟖 __________12.𝟔𝟓 − 𝟕𝟐

__________13.−𝟖𝟓 − (−𝟒𝟐)

__________14.–𝟏𝟓 − −𝟖𝟔

__________15.–𝟐𝟏 − 𝟐𝟒

__________16.−𝟏𝟓 − (−𝟓𝟕)

__________17.𝟔𝟓𝟐 − −𝟓𝟕

__________18.𝟑𝟒𝟔 − 𝟖𝟔𝟓

__________19.−𝟖 − −𝟒 − (−𝟔)

__________20.𝟗𝟎 − −𝟐𝟔 − (−𝟒𝟖)

Multiplying/DividingIntegers:Findeachproduct/quotient__________21.–𝟖 𝟔

__________22.–𝟏𝟎 −𝟏𝟎

__________23.–𝟐𝟒 ÷ 𝟖

__________24.– 𝟐𝟏𝟕

__________25.–𝟏𝟒 −𝟒

__________26.–𝟗𝟔 ÷ −𝟒

__________27.𝟒𝟖𝟏𝟔

__________28.–𝟏𝟓 ÷ −𝟏𝟓

__________29.𝟓 𝟏𝟏 −𝟑 __________30.𝟏𝟎(−𝟖)(−𝟐)

Adding/SubtractingFractions:Findeachsum/difference__________31.𝟒

𝟕+ − 𝟐

𝟕

__________32.– 𝟓𝟏𝟐+ − 𝟖

𝟏𝟐

__________33.–𝟏𝟑 𝟏𝟖+ 𝟓 𝟑

𝟖

__________34.𝟖 𝟓𝟏𝟐− 𝟐 𝟕

𝟏𝟐

__________35.𝟏𝟒𝟐𝟏+ − 𝟐

𝟕

__________36.𝟏𝟒𝟒𝟓+ 𝟐

𝟓

__________37.𝟖 𝟏𝟑− 𝟏𝟎 𝟐

𝟏𝟓

__________38.–𝟏 𝟑𝟒+ − 𝟑

𝟏𝟔

__________39. 𝟒𝟏𝟑+ 𝟏

𝟐

__________40.𝟓𝟖− 𝟐

𝟑

MultiplyingFractions:Findeachproduct__________41.𝟑

𝟒∙ − 𝟏

𝟑 __________42.– 𝟓

𝟔− 𝟐𝟓

__________43.–𝟒 𝟑𝟖

__________44. –𝟕 𝟐𝟓

__________45.𝟏 𝟒𝟓−𝟐 𝟏

𝟐

__________46.𝟐 𝟓𝟔∙ 𝟑 𝟏

𝟑

__________47.𝟐 𝟏𝟒∙ − 𝟒

𝟑

__________48.𝟗 ∙ −𝟏 𝟓𝟔

__________49.–𝟗 𝟑𝟓∙ 𝟓𝟏𝟐

__________50.𝟐 𝟒𝟗

𝟔𝟕

DividingFractions:Findeachquotient__________51.𝟔 ÷ 𝟏

𝟑

__________52.–𝟖 ÷ 𝟒𝟓

__________53.𝟐 𝟏𝟒÷ −𝟏 𝟏

𝟐

__________54.–𝟐 𝟑𝟕÷ −𝟒 𝟒

𝟕

__________55.𝟏𝟐 ÷ 𝟒𝟗

__________56.–𝟏𝟎 ÷ 𝟑𝟖

__________57.– 𝟏𝟔𝟕÷ − 𝟏𝟐

𝟑𝟓

__________58.𝟐𝟏𝟑𝟎÷ 𝟕

𝟏𝟓

__________59.–𝟏𝟏 ÷ 𝟑 𝟏𝟕

__________60.𝟐𝟐𝟎 ÷ −𝟓 𝟏𝟐

Adding/SubtractingDecimals:Findeachsum/difference__________61.𝟒.𝟑 + 𝟗.𝟖

__________62.𝟑𝟏.𝟗𝟐 + 𝟏𝟒.𝟐

__________63.𝟏𝟓.𝟑 − 𝟏𝟑.𝟖𝟐

__________64.𝟖𝟓.𝟑 − 𝟑𝟕.𝟎𝟕

__________65.𝟕𝟐.𝟒𝟕 + 𝟗

__________66.𝟐𝟕 + 𝟓.𝟏𝟗

__________67.–𝟏𝟑.𝟗 + 𝟗.𝟖

__________68.–𝟑𝟒.𝟏 + −𝟏𝟕.𝟔𝟑

__________69.−𝟑.𝟗𝟏 − (−𝟎.𝟔)

__________70.–𝟏𝟖.𝟐𝟏 − (−𝟕.𝟑)

Multiplying/DividingDecimals:Findeachproduct/quotient__________71.𝟑.𝟗 𝟐.𝟗

__________72.𝟖𝟓 𝟎.𝟎𝟕

__________73.𝟖𝟎 ÷ −𝟑.𝟐

__________74.–𝟎.𝟏𝟎𝟒 ÷ −𝟎.𝟏𝟑

__________75.𝟏𝟓.𝟑𝟐 𝟎.𝟎𝟎𝟏𝟓

__________76. 𝟏𝟔.𝟐 𝟎.𝟎𝟏𝟑

__________77.𝟕.𝟑𝟎𝟏𝟕 ÷ 𝟎.𝟓𝟕

__________78.𝟏𝟑.𝟒𝟐 ÷ 𝟔𝟕.𝟏

__________79.𝟓.𝟒 −𝟗.𝟕

__________80.𝟐.𝟎𝟎𝟏(𝟎.𝟎𝟓)

EvaluatingExpressions:Evaluateeachexpression__________81.Evaluate𝟑𝒙when𝒙 = −𝟔

__________82.Evaluate–𝟖𝒙when𝒙 = −𝟓

__________83.Evaluate𝟎 ÷ 𝒚when𝒚 = −𝟏𝟐

__________84.Evaluate𝒙𝟒when𝒙 = −𝟖

__________85.Evaluate– 𝟏𝟒𝟒𝒚when𝒚 = −𝟏𝟐

__________86.Evaluate–𝟐 𝒙 + 𝒚 when𝒙 = −𝟏 𝒂𝒏𝒅 𝒚 = 𝟒

__________87.Evaluate𝟑 𝒚 + 𝒙 when𝒙 = 𝟔 𝒂𝒏𝒅 𝒚 = 𝟏

__________88.Evaluate 𝒂 + 𝒄 − 𝒃when𝒂 = 𝟎.𝟒,𝒃 = 𝟑.𝟓,𝒂𝒏𝒅 𝒄 = 𝟏𝟓.𝟔𝟏

__________89.Evaluate𝒄 − 𝒅 − 𝒂when𝒂 = 𝟎.𝟒, 𝒄 = 𝟏𝟓.𝟔𝟏,𝒂𝒏𝒅 𝒅 = 𝟎.𝟎𝟑

__________90.Evaluate𝒙 + 𝒚when𝒙 = 𝟑𝟖

𝒂𝒏𝒅 𝒚 = 𝟑𝟒

TranslatingIntoExpressions:Identifythevariable.Then,translateintoanexpression__________91.Anumbermorethanseven

__________92.Theproductofsomenumberandsix

__________93.Somenumberdecreasedbytwelve

__________94.Thequotientofninetyandanumber

__________95.Eightlessthansomenumber

__________96.Twicethenumber

__________97.Halfofsomenumber

__________98.Seventeenmorethananumber

__________99.Brianistriplehisnephew’sage

__________100.Mariaran4.5milesmorethanAmy

One-StepEquations:SolveandCheck.Showallofyourwork__________101.𝟏𝟏.𝟖 = 𝒙 + 𝟏.𝟓

__________102.𝒙 + 𝟏𝟎 = 𝟏𝟒

__________103.𝒙 − 𝟔 = 𝟑.𝟐

__________104.𝒙 − 𝟗 = −𝟏𝟕

__________105.𝟎.𝟑𝒙 = −𝟐𝟒

__________106.–𝟔𝒙 = −𝟒𝟖

__________107.𝒙𝟓= −𝟏𝟐

__________108.𝒙𝟑= 𝟑.𝟗

WritingEquations:Identifythevariable.Translateintoanequation__________109.Anumberdecreasedby7is19.

__________110.Sixtimesanumberis-84

__________111.Anumberdividedbyeightisequalto-15

__________112.Anumberincreasedby6is-18

__________113.Thesumofanumberand5is12

__________114.Anumberdividedby-4isequalto-6

__________115.Astoremakesaprofitof$25oneachwatchitsells.Howmanywatchesmustitselltomakeaprofitof$275

__________116.Johnsold20sharesofstockforatotalof$2980.Whatwasthevalueofoneshare?

Proportions:Solve.Showallwork__________117. 𝒙

𝟐𝟏𝟑= 𝟖

𝟑

__________118.𝟔𝟐= 𝟒

𝒙

__________119.𝟓.𝟏𝟏.𝟕= 𝟕.𝟓

𝒙

__________120.𝟔.𝟒𝟎.𝟖= 𝟖.𝟏

𝒙

__________121.Giventhescale2cm=3m,howlongisthescaledrawingofabasketballrimthatis16m.tall?

__________122.Totiedyeashirtorange,youneed2partsredto5partsyellow.Howmuchyellowdoyouneedifyouhave13partsred?

__________123.Findtheunitpriceofacase(12cans)ofsodafor$2.25.

__________124.Arectangleis11.4intalland5.4inwide.Ifitisreducedtoaheightof5.7inthenhowwidewillitbe?

Percents:Solve.Showallwork!__________125.Express30%asafractioninsimplestform.

__________126.Express𝟏𝟖 𝟒𝟓%asadecimal

__________127.If125%ofanumberis20,whatisthenumber?

__________128.𝟑𝟑 𝟏𝟑%of150iswhatnumber?

__________129.Whatpercentof52is6.24?

__________130.Abikethatisoriginally$240isonsalefor20%off.Whatisthesalesprice?

__________131.Inyourclass,thereare8girlsand14boys.Whatpercentofyourclassaregirls?

__________132.272outof320studentsinyourschoolweresurveyedabouttheirfavoritesoda.Whatpercentoftheschoolpopulationwassurveyed?

__________133.Diane’sallowanceis$20perweek.Shesaves30%ofherallowance.Howmuchdoesshesaveeachweek?

__________134.YourDadboughtaconcertticketfor$126.Hesaidthatyouhavetopay75%ofthecostoftheticket.HowmuchdidyouhavetogiveyourDad?