MonroeTownshipHighSchool
MonroeTownship,NewJersey
DynamicsofALGEBRAI–ResourceCenter
SUMMERPREPARATIONPACKET
DynamicsofAlgebraIwillprovideyouwiththefundamentaltoolsofalgebraic
understandingthatwillsupportyouinallfutureadvancedmathematicscourses.The
AlgebraIResourceCenterpreparationpacketcontainsreviewmaterialoftheconcepts,
skills,andproceduresthatshouldbemasteredBEFOREenteringDynamicsofAlgebraIin
thefall.
Additionalonlineresourcesareavailableat:
-http://www.khanacademy.org/
-http://www.wolframalpha.com/examples/Math.html
-http://tinyurl.com/youtube-mthsAlgebra1
Thispracticeproblempacketistheonlyformalreviewoftheconcepts,procedures,and
skillsthatyouwillhavebeforebeginningyourAlgebraIcourse.Yourteacherwillexpect
youtohavemasteredalltopicsincludedhere.
Thiscollectionofproblemswillidentifythoseconceptsthatyouhavemasteredaswellas
thoseyouwillneedtopracticeandreview.Youareexpectedtoseekextrahelp
immediatelyonthoseconceptswithwhichyouhavenotdemonstratedproficiency.
Beresourceful–usetheonlineresourcesprovidedonthewebpage!Problemshereare
veryrepresentativeofthetypesofitemsyouwillneedtohavemasteredbeforeDynamics
ofAlgebraIsowestronglyencouragethatyouincludeitinyoursummerfestivities!
Evaluateeachexpression.
1) 10 − (x) 2 + y whenx=1andy=4
ANSWER:__________
2) (a - b)4 when a = 4 and b = 2 ANSWER:__________
3)Theperimeterofthefigurebelowisequalto150cm.
Solveforx. x
58
62
11
For#4–5,writetheverbalphraseasanexpressionorequation.Use“x”forthe
variable.
4)“Twelvemorethantheproductofeightandanumber.”
5)“Thequotientoffourandanumber.”
1
3
6)Writethenumbersinincreasingorder: 9,− ,−5,−8.5, ,−1 2
2
7)Forc–7< 3,checkc=5 SOLUTION?(YesorNo):__________
8)Makeaninput-outputtableforthefunction.Use-2,-1,0,1,2astheinput
y = 2x − 4 INPUT
OUTPUT
-2
-1
0
1
2
Simplifyeachexpression.
9)9–(25÷ 5)
10)–4-8 11)30 − 40 ÷ 2
Solveeachequation.
ANSWER:____________________
ANSWER:___________________
ANSWER:____________________
12)2x=12 13)x+5=13
16)2x-2=10
ANSWER:___________________
ANSWER:__________________
ANSWER:___________________
17.)Plotandlabelthefollowingpoints:
A(5,2)B(2,6)C(3,-3)D(-7,4)E(-5,0)F(0,-6)
18)Youareshoppingforamountainbike.Astoresellstwodifferentmodels.Themodel
thathassteelwheelrimscosts$220.Themodelwithaluminumwheelrimscost$480.You
haveasummerjobfor12weeks.Yousave$20perweek,whichwouldallowyoutobuythe
modelwiththesteelwheelrims.Youwanttoknowhowmuchmoremoneyyouwould
havetosaveeachweektobeabletobuythemodelwiththealuminumwheelrims.
a)Writeanalgebraicmodelforhowmuchmoremoneyyouwouldhavetosaveeachweek.
b)Solveyourmodelalgebraicallyfrompart(a).
c)Explainwhatyoursolutionrepresents.