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Honors Algebra 1 ~ Summer Packet Ms. Lotter & Ms. Marella This packet contains some Pre-Algebra concepts that were taught in 7 and 8th grade. It is important that you know and understand these concepts, as we will build on them in Algebra 1. There are also parts of this packet that will require some research on your part. In this class, we want you to take ownership of your learning. That means learning how to look up a question if you don’t know the answer. This packet needs to be completed on the first day of school. We will spend a few days reviewing, but you will be assessed on this material within the first week or so of school. If you have questions over the summer, please e-mail Ms. Lotter, gwelot@bergen.org, or Ms. Marella, linmar@bergen.org. Enjoy your summer and see you in the fall!

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Pre- Algebra Review Operations OperationswithSignedNumbers(tobedonewithoutacalculator)

Simplify:

1) –15+41

2) –16+(–14)

3) 13–(–5)

4) –9–3

5) (–3)× 5

6) (–20)÷ (–4)

OperationswithFractions(tobedonewithoutacalculator)

Simplify:

7) 85

163 42 +

8) 836÷

9) 32

43 21 ×

10) 65

31 813 −

Percents(tobedonewithoutacalculator)

11) 25%of88iswhatnumber?

12) Whatnumberis7%of50?

13) Write10078 asadecimalandasapercent?

AbsoluteValue

14) 1.2− +3.2=___

15) – 5.14 + =___

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Variables&Expressions~Part2

GeneralQuestions:Answereachquestionusingcompletesentences.

16) Whatisthedifferencebetweenanexpressionandanequation?

17) Whatareliketerms?

18) Howdoyoucombineliketerms?

Vocabulary,Equations&Expressions

19) Circletheconstantandunderlinethecoefficientandputaboxaroundthevariableforeachexpressionbelow.

a. 5! – 3

b. 2 – 4!

20) Whichofthefollowingarealgebraicexpressions?Circleallthatapply.

5! – 2 8! ! > 2 14 + 5! 2! – 6 4! – 8 = 9TranslatingbetweenWords&Expressions

Translatethewordsintoanalgebraicexpression.

21) Onethirdoftheproductof5andy

22) Thequotientof300andthequantityofxtimes2

23) Theproductof7andxminusthequantityof4

lessthany24) Thequantityof9morethanxdividedbythe

quantityof12lessthany

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WritingExpressions

25) Laurapaid! − 9dollarsforherpromdress.BethpaidfourdollarslessthanLaura.Writeanexpressionfor

Beth’spromgownprice:

26) Davidrana5Kin!minutes.HarryranthesameraceinfiveminuteslessthandoubleDavid’stime.WriteanexpressionforHarry’stime:

27) Somebeansgrewℎinches.Thetomatoesgrew3inchesmorethantripletheheightofthebeans.Writeanexpressionforthetomatoheight:

EvaluatingExpressions

Evaluateeachexpression

28)

29)

30)

31)

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SimplifyEachExpression

32) 33)

SolvingLinearEquations~Part3

Solveeachequation.Iftheequationisanidentity,writeidentity(Example:! = !).Ifithasnosolution,writenosolution(Example:! = !).

34)4h+5=9h 36)2(3x–6)=3(2x–4) 38)7t=80+9t

35)10z–5+3z=8–z 37)3(g–1)+7=3g+4 39)17–20q=(–13–5q)(4)

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ExtendedResponseQuestions

40) TheRainbowPhoneServiceCompanyhasamonthlyfeeof$100andanadditionalchargeof

$6.00foreverygigabyte(GB)ofdataapersongoesovertheallottedmonthlyamountpermonth.TheCellularPhoneServiceCompanyhasamonthlyfeeof$80andanadditionalchargeof$10.00foreveryGBofdataapersongoesoveramonth.TheGomezfamilyisdecidingwhichofthesetwophoneproviderstosubscribeto.

a. Writeanequationthatrepresentsthecost,c(x),ofeachphonecompany’smonthlyfee.Letx=numberofGBapersonusesovertheallottedmonthlyamount.

b. Forwhatnumberofdataoverwillthetotalmonthlyfeeforbothcompaniesbethesame?

c. TheGomezfamily’sdaughterwentover6GBofdatalastmonth.WhichphoneservicewillsavetheGomezfamilythemoreifthedaughterrepeatsthisbadhabitnextmonth?

IndependentResearchPart4

• Researchthedivisibilityrulesfor2,3,5,6,9and10.Youshouldcommitthesetomemory,ifyoudon’tknowthemalready.

• Researchtherealnumbersystem.FillouttheVennDiagramonthefollowingpagewiththedefinitionsofthefollowingtypesofnumbers:Natural(Counting),Whole,Integer,Rational,Irrational.

• Researchthepropertiesofrealnumbers.Filloutthediagramonthefollowingpages.

• Answerthequestionsonpage12.

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Vocabulary–Definethefollowinginyourownwords,afterresearchingtheterm.

Monomial–

Term-

Polynomial-

Exponent-

Power-

DegreeofaMonomial-

DegreeofaPolynomial-

DegreeofaConstant-

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Page%12%

Questions)from)Part)4)

Without)the)use)of)a)calculator,)determine)if)the)following)numbers)are)divisible)by)2,)3,)5,)6,)9)and/or)10.)

41) ))))345)

42) %%%%2466)

43) %%%%77,940)

44) %%%%357)

State)all)subsets)of)the)real)number)system)to)which)each)given)number)belongs.)

45) 04)

46) 0)

47) 972)

48) 17%

49) 16%

50) !!%

Answer)the)following)questions.)

51) Which%statement%is%not%always%true?%

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Which%expression%results%in%a%rational%number?%

a. %b. %c. %d. %

%53) Determine%the%degree%of%the%following%monomial:%%!!!!!!!!!!%

54) Determine%the%degree%of%the%following%polynomial:%!!!!!!!! + !!!!%

55) Determine%the%degree%of%the%following%constant:%%%%%%%%5%

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