Geometry Summer Packet For Incoming HHS9

Students:

TheGeometryTeamfromHHS9hasdeterminedthereare6areasof

AlgebraIand8thGradeMathSkillsthatarevitalforastudenttobe

successfulinHighSchoolGeometry.Toensurethateverystudentis

fullypreparedtoentertherigorofahighschoolmathclass,weare

assigningeveryMiddleSchoolAlgebraIstudentthetaskof

completingthispacketoverthesummer.

*Students:agradewillbetakenonthecompletionofthispacket

duringyourfirstweekofGeometryatHHS9.Youmustshowall

workwrittenneatlyforeveryproblem.Youmaydotheworkon

anotherpaper,butitmuchbeattachedwhenturninginthe

assignment.AllGeometrystudentswillbegivenaMajorGrade

TestoverthecontentsofthisPacketonFridayyourfirstweekin

Geometry.Pleasemakeitapersonalgoaltogetofftoagreatstartin

thisclassbyworkingthroughthepacketandusingthevideosfor

review.

Welookforwardtohavingyouinourclassesnextyear!!

Sincerely,

TheHHS9GeometryTeamMrs.Barger-CoachEssary-Ms.Keys

VideostoHelpPrepareforHSGeometryTopic1:SolvingEquations1. Solveequationswithvariablesonbothsides

https://www.khanacademy.org/math/in-eighth-grade-math/linear-equations-one-variable/solving-equations-variable-both-sides/v/multi-step-equations-1

2. Solveequationswithfractions https://www.youtube.com/watch?v=10TJfOy3H-w3. Solvemulti-stepequations

http://mathvids.com/lesson/mathhelp/84-solving-multi-step-equations

Topic2:FactoringPolynomialsTherearemanydifferentmethodsoffactoring.StudentswillcometoHHS9from3different

MiddleSchools.Ihavelistedseveralmethodsbelowtohelpyoureviewfactoring.Ihopethat

atleastonemethodlooksfamiliartoyou.

1. FactorusingtheACMethodhttps://youtu.be/AYkaCZUT4O4

2. FactorusingtheBoxMethodhttps://youtu.be/YFf7oDJp1pQ

3. FactorusingtheXMethodhttps://youtu.be/aSMSIZZ0uR4

4. FactoringSpecialProductshttps://youtu.be/_J7vn-_ekPM

Topic3:SolvingQuadratics1. SolvebyFactoring

https://www.sophia.org/tutorials/solving-quadratics-by-factoring-4https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/solving-quadratics-factoring/v/example-1-solving-a-quadratic-equation-by-factoring

2. SolveusingtheQuadraticFormula

https://www.sophia.org/tutorials/the-quadratic-formula--11https://www.khanacademy.org/math/algebra/quadratics/solving-quadratics-using-the-quadratic-formula/v/using-the-quadratic-formula

Topic4:SolvingSystemsofEquations1. SolveSOEbySubstitution

http://www.teachertube.com/video/solving-systems-by-substitution-242476

2. SolveSOEbyElimination

http://www.teachertube.com/video/solving-systems-of-equations-by-elimination-277735

https://www.sophia.org/tutorials/solving-systems-of-equations-by-elimination--2

Topic5:Simplifying&MultiplyingRadicals

1. SimplifyingRadicals

https://www.educreations.com/lesson/view/simplifying-radicals-using-factor-

trees/2603284/

2. MultiplyingRadicals

http://www.virtualnerd.com/algebra-1/radical-expressions-

equations/simplify/multiply-divide/multiplication-example

Topic6:FindingArea,SurfaceAreaandVolumeshttp://www.virtualnerd.com/geometry/surface-area-volume-solid/pyramids-codes-area/regular-pyramid-lateral-surface-areas

Topic1:SolvingEquationsSolvethefollowingequationsthathavevariablesonbothsides:

1. 6r+7=13+7r

3. −7x−3x+2=−8x−8

5. −14+6b+7−2b=1+5b

7. n−3n=14−4n

2. 5+2x=2x+6

4. −8n+4(1+5n)=−6n−14

6. 4n–40=7(−2n+2)

8. −31−4x=−5−5(1+5x)

Solvethefollowingequationswithfractions:

1. 32

43 =t

3. t53

32 −=

5. 21

43 =x

7. 43

65 =− x

9. 21

532 =−y

2. 31

52 −=−y

4. 421

41 =+ t

6. xxx213

41 +−=+

8. 232

31 −=+ mm

10. 141

32 −=+ mm

Solvethefollowingmulti-stepequations:

1. 6(3m+5)=66

3. 3(4y–8)=12

5. –5(x–3)=–25

7. 42=3(2–3h)

9. –10=5(2w–4)

2. 3p–4=31

4. x–2(x+10)=12

6. –15=5(3q–10)–5q

8. –3=–3(2t–1)

10. 11.3–7.2f=–3.82

Topic2:FactoringPolynomialsFactorthepolynomialsbelowcompletely:

1. x2+5x+6 2.x2–2x–3

3. x2–5x 4.x2–4

5. 2x²–18x–72 6.x²–12x–28

7. 4x²–20x+25 8.24x2–6

9. 2x²–x–3 10.8x²–10x–3

8. 2x²–11x+21 12.6x2+26x+24

Topic3:SolvingQuadraticsSolvethefollowingquadraticsbyfactoring:1. x2–11x+19=-5

2. n2+7n+15=5

3. n2+3n–12=6

4. 9x2–24x+16=0

5. 7r2–14r=-7

6. 2x2–3x–2=0

SolvethefollowingquadraticequationsusingtheQuadraticFormula:

1. 6x2+11x–35=0

2. f2+9f+4=0

3. m2–3m–1=0

4. 3x2+8x+2=0

5. 4t2–9t+1=0

6. 3w2+8w+3=0

Topic4:SolvingSystemsofEquations

SolvethefollowingSystemsofEquationsUsingSubstitution:

1. 2x–9y=14x–7=-6y

2. -5x+2y=9y–7x=0

3. 3x+4y=-23x–3y=1

4. x+3y=254x+5y=9

5. -5x+y=-2-3x+6y=-12

6. -7x–2y=-13x–2y=11

SolvethefollowingSystemsofEquationsbyElimination:

1. -5x+8y=0-7x–8y=-96

2. -7y–4x=17y–2x=53

3. x–2y=14x+3y=9

4. 8y–9x=-35y–8x=10

5. -5y+6x=403y–8x=-46

6. -9y+4x–11=0-3y+10x+31=0

Topic5:Simplifying&MultiplyingRadicalsSimplifythefollowingradicals:

1. 60 2.− 128

3. 5 320 4.2 45

5. 20 504 2 6.

217 2

Multiplyandthensimplifythefollowingradicals:

1. 5 ⋅ 45

3. 6 ⋅ 30

5. 6 ⋅ 2

2. ( 5 )2

4. 4( 10)2

6. 25 ⋅ 25

Topic6:FindingArea,SurfaceAreaandVolumesAREA

Triangle A = 12bh

RectangleorParallelogram A = bh

Trapezoid A = 12b1 + b2( )h

SURFACEAREA Lateral TotalPrism S = Ph S = Ph + 2B

Pyramid S = 12Pl S = 1

2Pl + B

Cylinder S = 2πrh S = 2πrh + 2πr2 VOLUMEPrismorCylinder V = Bh

PyramidorCone V = 13Bh

Inthissection,besuretowriteeachformula,showthevaluesyousubstitutein,and

thenwriteyouranswerwithunitsofmeasure.]

1. Findtheareaofthetriangle.

2. Findtheareaofthetriangle.

3. Theperimeterofarectangleis20centimeters.Thelengthis6centimeters.Whatistheareaoftherectangle?Besuretodrawandlabeladiagram.

4. Findtheareaoftheparallelogram.

5. Findtheheightoftheparallelogram.

6. Findtheareaofthetrapezoid.

7. Findtheareaofthetrapezoid.

8. Findthevolumeofthepyramid.Thebaseisrectangular.

9. Acylinderhasaradiusof13cmandaheightof22cm.Findthesurfaceareaandvolume.

10. Find the surface area and volume of the triangular prism below.

22cm

13cm