geometry summer math 2017[3]

NAME:___________________________________ DATE:_______________ PERIOD:___________GEOMETRY SUMMERMATH2017

Completethisassignmentifyouwillbetakinggeometrynextschoolyear(2017-2018).Bringthisassignmentwithyouthefirstdayofclass.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<DIRECTIONS:(Pleasereadandfollowthesedirections.)A]RefertoyourAlgebra1notebookortheinternetforassistance.Doyourownwork.B]Donotwaituntilthelastminutetocompletethisassignment.C]Writeneatlyandinpencilonyourownpaper.D]Numberallworkasitisnumberedinthispacket.E]Showyourwork(step-by-stepsolutions).Circleyourfinalanswers.F]Simplifyfractionsandradicals.Rounddecimalanswerstothenearesthundredth.G]Drawgraphsongraphpaper.Plotthepointstothegraph.H]AnswerswillbepostedthefirstweekofAugust.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<Atestonthismaterialwillbegivenduringthefirstweekofschool.Thistestwillbethefirstgradeofthecourseinthefirstnineweeksoftheschoolyear.

SpecialFormulas

Area Perimeter Lines

Rectangle A=lw P=2l+2w Distanceformula:! = (!! − !!)! + (!! − !!)!

Square A=s2 A=4s Midpointformula ( !!!!!! ,!!!!!! )

Triangle A=½bh A=a+b+c Slope m=!!! !!!!! !!

Circle ! = !!!C=2πr Slope–interceptformofline y=mx+b

Point–slopeformofline y–y1=m(x–x1)

Standardformoflinearequation Ax+By=C

AandB≠0,A,BandCareintegers,leading

coefficientpositive

Parallellineshavethesameslope.

Perpendicularlineshavenegativereciprocalsfor

theirslopes.

SolvingEquationsExample:

4x–2(1–x)=-38

4x–2+2x=-38

6x–2=-38

6x=-36

x=-6

Solvetheequations.Circleyourfinalanswers.

1]3y–4=20 2]5(z+3)=12 3]44=5g–8–g

4]3r–(2r+1)=21 5]3n–1=5n–9 6]6− !!! = −6

7]3(x–5)–(5x–2)=10 8]4.2x+6.4=40 9]!!!!! = 21

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Multiply.Then,simplifytheexpressions.

37](! + 11)! 38](3! − 4)! 39]5x(2x–4y+9)40]−3!(!! + 2! − 7)

41](x–2)(x+3) 42](2x+3)(3x–3) 43](7x+3)(4x+3) 44](2x+1)(2x–1)

45](x–6)(2x–5)

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Factoreachtrinomialcompletely.

5]!! + 5! + 6 6]!! + 8! − 9 7]!! + 6! + 5 8]5!! + 11! + 2

9]!! − 3! + 2 10]6!! − 23! + 1511]!! − 7! + 12 12]8!! + 2! − 3

13]!! − ! − 2 14]!! − 4! − 12 15]!! + 2! − 48 16]3!! + 13! − 10

17]2!!! − 128! 18]25!! − 225!! 19]9!! − 30! + 25 20]!! + 2!! − 16! − 32

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

SOLVEEQUATIONSBYFACTORING

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Usethequadraticformulatosolvetheequations.

1]!! − 4! + 3 = 0 2]!! + 9! + 20 = 0 3]!! + ! = 6 4]4!! + 3 = 13!

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

SLOPEFORMULA:! = !!!!!!!!!!

Findtheslopeofthelinethatpassesthroughthegivenpoints.

1.(1,3)and(7,4) 2.(0,-3)and(-5,0) 3.(-5,4)and(-5,3)

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Writetheequationofalineinslope-interceptformforthelineswiththegivenslopesandy-intercepts.

4]m=2/3through(3,-4) 5]m=-4through(1,-3)

Writetheequationforthefollowinglinesthrough:

6](3,-6)and(6,2) 7](-7,2)and(-3,5)

8]Writetheequationinslope-interceptformofthelinethatpassesthrough(1,3)andisparallelto

y=3x+5.

9]Writetheequationinslope-interceptformofthelinethatpassesthrough(2,4)andisperpendicular

toy=-2x-6.

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Graphthefollowinglinearequationsongraphpaper.

10]y=-3x+5 11]y=(1/2)x-7 12]3x+5y-15=0

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Solveeachsystemofequationsbythesubstitutionmethod.

1]y=2x+5 2]x=8+3y 3]8x+3y=26 4]x-7y=13

3x–y=4 2x–5y=8 2x=y–4 3x–5y=23

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Solveeachsystemofequationsusingtheeliminationmethod.Usetheformatshownintheexamples.

1]3x+4y=9 2]5x+3y=30 3]4x-6y=-26 4]2x–8y=24

-3x–2y=-3 3x+3y=18 -2x+3y=13 3x+5y=2

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Findtheareaandperimeter(circumference).

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

NAME:___________________________________ DATE:_______________ PERIOD:___________GEOMETRY–ANSWERSHEET SUMMERMATH2017

SOLVINGEQUATIONS

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SOLVINGPROPRTIONS

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MULTIPLYPOLYNOMIALS

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FACTORPOLYNOMIALS

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SOLVEEQUATIONSBYFACTORING

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SOLVEEQUATIONSBYQUADRATICFORMULA

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PROPERTIESOFEXPONENTS

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SLOPEFORMULA

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EQUATIONSOFLINES

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GRAPHSOFLINES

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INEQUALITIES

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SKETCHGRAPHOFLINEAREQUATIONS14

SYSTEMSOFEQUATIONS(SUBSTITUITION)

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SYSTEMSOFEQUATIONS(ELIMINATION)

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AREAANDPERIMETER(CIRCUMFERENCE)

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GRAPHINGLINES

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EQUATIONSOFLINES

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PYTHAGOREANTHEOREM

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