MonroeTownshipHighSchool
MonroeTownship,NewJersey
FundamentalsofGeometry–ResourceCenter
SUMMERPREPARATIONPACKET
FundamentalsofGeometrywillprovideyouwiththe
fundamentaltoolsofgeometricunderstandingthatwillsupport
youinallfutureadvancedmathematicscourses.Sinceyouwill
betakinggeometryaftersuccessfulcompletionofAlgebraI,the
GeometryPreparationPacketcontainsreviewmaterialofthe
algebraicconcepts,skills,andproceduresthatshouldbe
masteredBEFOREenteringGeometryinthefall.
Additional online resources are available at:
-http://www.khanacademy.org/
-http://www.wolframalpha.com/examples/Math.html
-http://tinyurl.com/youtube-mthsAlgebra1
This practice problem packet is the only formal review of the
concepts, procedures, and skills that you will have before beginning
your geometry course. Your teacher will expect you to have
mastered all topics included here.
This collection of problems will identify those concepts that you have
mastered as well as those you will need to practice and review. You
are expected to seek extra help immediately on those concepts with
which you have not demonstrated proficiency.
Be resourceful – use the online resources provided on the webpage!
Problems here are very representative of the types of items you will
need to have mastered before Fundamentals of Geometry so we
strongly encourage that you include it in your summer festivities!
FUNDAMENTALSofGEOMETRY–ResourceCenter
SUMMERPREPARATIONPACKET
Name___________________________________________________
Directions:Graphthenumbersonanumberline:
1. "
&
#
#
− , , − 4,5
Directions: Simplify.
2.
−9 + 7
3.
−11 + (−1) + 6 ____________
________________
4.Ahotairballoonrises675feet.Itthendescends213feet.Findthe
elevationofthehotairballoon,assumingitsjourneystartedatsea
level(Showallworkandcirclethecorrectanswer).
a) 888ft.
b) –462ft.
c) 274ft.
d) 462ft.
Directions: Simplify.
5. −2 ∗ −13
3&4
6. _______________
_______________
7.Evaluatethepower:−54 (Circlethecorrectanswer)
a) 25
#
b) – 10
c) 10
d) −25
Topic: Solving Equation
Step1:Distribute(ifneeded)
Step2:Circlevariableandwhatevernumberisattachedtoit.
Step3:Undoadditionorsubtraction
Step4:Undomultiplicationordivision
Directions: Solve.
8.
10.
𝑥 + 7 = 11
7𝑔 = 42
𝑏 − 10 = −23
9.
11.
;
3#
=8
Directions:Solve.
12. 2𝑥 − 3 = 23 14.
3 5𝑧 − 20 = 15
13. −5𝑦 + 8 = −2
Topic: Solving Proportions (Butterfly Method)
8 192
1.Writetheproportionanduse
=
thebutterflymethod.
3
𝑛
8 𝑛 = 192(3)
2.Writethecrossproducts.
8𝑛 = 576
3.Multiply
8𝑛 576
4.Undomultiplicationbyusing
=
division.
8
8
5.Divide
𝑛 = 72
Directions:Solve.
15.
@4
A
=
@B
"
16.
#
34
=
C
A
Topic: Finding Perimeter and Area (Rectangle)
Rectangle:afour-sidedflatshapewhereeveryangleisaright
angle(90°).
17.Findtheperimeterandareaoftherectangle.
Perimeter:__________________ Area:__________________
Topic: Finding Perimeter and Area (Triangle)
Triangle-A3-sidedpolygon(aflatshapewithstraightsides).
18.Findtheperimeterandareaofthetriangle.
Perimeter:________________
Area:________________
Directions:Writetheletterofthepicturenexttotheappropriate
vocabularyword.
19.__________Ray
a.
(startsatapointandextendsin onedirection)
20.__________Line
b.
(Straightlinesthatextendin
bothdirectionswithoutending)
21.__________Point
c.
(alocationinspace–adot)
22.__________LineSegment
(Partofalinebetweentwo
points)
d.
23.__________PerpendicularLines e.
(Linethatintersect(cross)ata
90°angle)
24.__________Angle
(Spacebetweentworaysthat
intersect)
25.__________ParallelLines
(Linesthatneverintersect)
f.
g.