Post on 30-Jun-2020
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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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PROPE
RTIESOFEQ
UAL
ITY
Prop
erty
Words
Exam
ple
Refle
xivePrope
rty
Symmetric
Prope
rty
Tran
sitiv
eProp
erty
SubstitutionProp
erty
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Additio
nProp
ertie
s
Prop
erty
Words
Exam
ple
AssociativeProp
ertyof
Additio
n
CommutativeProp
ertyof
Additio
n
Additiv
eIden
tity
Additiv
eInverse
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Multip
licationProp
ertie
s
Prop
erty
Words
Exam
ple
AssociativeProp
ertyof
Multip
lication
CommutativeProp
ertyof
Multip
lication
Multip
licativeIden
tity
Multip
licativeprop
ertyofZ
ero
Multip
licativeInverse
(AKA
_________________________)
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Distrib
utiveProp
erty
Prop
erty
Words
Exam
ple
Distrib
utiveProp
erty
Venn
Diagram
forR
ealN
umbe
rSystem
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?%
a. The%sum%of%two%rational%numbers%is%rational.%b. The%product%of%two%irrational%numbers%is%rational.%c. The%sum%of%a%rational%number%and%an%irrational%number%is%irrational.%d. The%product%of%a%nonzero%rational%number%and%an%irrational%number%is%irrational.%
%52) Given:% %
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%
)