# HS - Resource - Dynamics of Algebra 1

```MonroeTownshipHighSchool
MonroeTownship,NewJersey
DynamicsofALGEBRAI–ResourceCenter
SUMMERPREPARATIONPACKET
DynamicsofAlgebraIwillprovideyouwiththefundamentaltoolsofalgebraic
AlgebraIResourceCenterpreparationpacketcontainsreviewmaterialoftheconcepts,
skills,andproceduresthatshouldbemasteredBEFOREenteringDynamicsofAlgebraIin
thefall.
-http://www.wolframalpha.com/examples/Math.html
Thispracticeproblempacketistheonlyformalreviewoftheconcepts,procedures,and
skillsthatyouwillhavebeforebeginningyourAlgebraIcourse.Yourteacherwillexpect
youtohavemasteredalltopicsincludedhere.
Thiscollectionofproblemswillidentifythoseconceptsthatyouhavemasteredaswellas
thoseyouwillneedtopracticeandreview.Youareexpectedtoseekextrahelp
immediatelyonthoseconceptswithwhichyouhavenotdemonstratedproficiency.
Beresourceful–usetheonlineresourcesprovidedonthewebpage!Problemshereare
veryrepresentativeofthetypesofitemsyouwillneedtohavemasteredbeforeDynamics
ofAlgebraIsowestronglyencouragethatyouincludeitinyoursummerfestivities!
Evaluateeachexpression.
1) 10 − (x) 2 + y whenx=1andy=4
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.
12)2x=12 13)x+5=13
16)2x-2=10