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Love the SAT Test Prep presents SAT® Math Mastery 2nd Edition Volume 1 By Christian Heath Founder of Love the SAT Test Prep www.LovetheSAT.com 1 Allcontentscopyright2020byChristianHeath.Allrightsreserved.Nopartofthisworkmaybereproducedortransmittedin anyformorbyanymeans(electronic,photocopying,recording,orotherwise)withoutthepriorwrittenconsentofthe author. Forinformationregardingbulkpurchases,reprints,&foreignrights,[email protected]. LimitofLiabilityandDisclaimerofWarranty:Theauthorhasusedhisbesteffortsinpreparingthisbook,andthe informationprovidedhereinisprovided"asis."Theauthormakesnorepresentationorwarrantieswithrespecttothe accuracyorcompletenessofthecontentsofthisbookandshallinnoeventbeliableforanylossordamage,includingbut notlimitedtospecial,incidental,consequential,orotherdamages. SAT®isatrademarkregisteredbytheCollegeBoard,whichisnotaffiliatedwith,anddoesnotendorse,thispublication. 2 Also by Christian Heath SATMathMastery,Vol.2:AdvancedAlgebra,GeometryandStatistics GethigherSATmathscores-guaranteed! ThesecondvolumeofSATMathprepaddsanother19criticalmathlessons thatbreakthemathtestdownintoeasytopicstomasterbeforetestday. Over325morerealisticSATpracticequestionsexclusivetothistextbook. ComprehensivePretest&Posttestdiagnosticstoquicklyidentifyyourweak spots. AvailableonAmazonathttps://amzn.to/2z6hMge. SAT&ACTGrammarMastery,Ed.2 GethigherSAT&ACTgrammarscores-guaranteed! ArevolutionarynewgrammartextbookforhigherSAT&ACTscores.Master theseventeenrulesoftheSATWritingandLanguageandACTEnglish sectionsinrecordtime. 17lessonsbreakthegrammartestsdownintoeasytopicstomasterbefore testday.Over320realisticSAT&ACTpracticequestionsexclusivetothis textbook.ComprehensivePretest&Posttestdiagnosticstoquicklyidentify yourweakspots. AvailableonAmazonathttps://amzn.to/36LW9Nl. UltimateTimeManagementforTeensandStudents Ifthere’sonethingthatuniteseveryhighschoolstudent,it’sthatthey neverhaveenoughtimeorenergytogeteverythingdone.It’stimeforthat tochange. Thisbookcontainsanarsenaloftips,tricks,andstrategiesfromaveteran SAT&ACTtutorandelite-collegegraduatethatwillworkforeveryhigh schoolstudentatanypointintheirhighschoolcareer. Getbettergrades,havemorefun,reduceyouranxiety,enjoylifemore,win morescholarships,andgetintoabettercollege! AvailableonAmazonathttps://amzn.to/2SxWPj8. 3 A Special Bonus for Readers of this Book AsoneofthetopSATtutorsintheworld,IcanhelpyouincreaseyourSATscorebeyondthelessonsinthismath book. I’vegotsomespecialSATstuffavailableforyouatwww.LovetheSAT.com/sat-math-mastery-bonus. Followthelinkaboveorenteritintoyourbrowser.Thisisonlyavailableforpeoplewhohavethismathbook. Ifyou’retryingtogetahigherSATscore,Iknowthesebonusmaterialswillhelpyou.Beforeyoureadanyfurther, pleasefollowthelinkandclaimyourscore-raisingbonuses! 4 A Note on the Two Volumes of this Book: WhenIoriginallywrotethistextbook,Iplannedforittobeasinglegiantbookthatcompletelycoveredevery singlemathtopicontheSATtest. Unfortunately,Ilearnedthatthebook-printingserviceIusecouldnotphysicallyprintthesizeofbookthatIhad written.Mymanuscriptsimplyexceededthephysicalpagelimitbyalmost700pages.Therewasnowayto shortenthebookdownwithoutlosingahugeamountofessentialcontentandpracticequestions. Asaresult,Idecidedthebestchoicewastosplitthetextbookintotwovolumestofitthepagerequirementsof theprinterandsimultaneouslylowerthepriceofbothvolumestomakethemmoreaffordable. Volume1coversAlgebra1withsomebasicAlgebra2andrelatedskills.Thesearefoundationalskillsthatmake upoverhalfoftheSATMathquestions.TheentiretyoftheSATMathtestisbaseduponthisfoundation. Volume2coversAdvancedAlgebra2,Geometry,andStatistics.Thesearemoreadvancedand/orrarertopics that,whencombined,makeuptheotherhalfoftheSATMathtest.Thesetopicsarejustasessentialtoahigh scoreasthetopicscoveredinVolume1.Volume2isavailableonAmazonathttps://amzn.to/2z6hMge. It’sbesttothinkofthesetwovolumesasasingletextbook,thewayitwasoriginallywritten.Iwillfrequently makecross-referencesbetweenthetwovolumesthatyouwillmissoutonunlessyouhavebothtexts. IstronglyurgeyoutogetbothvolumesofthisbookfromtheverybeginningofyourSATMathstudies.Together, theyformtheidealsingleSATMathbookthatIenvisionedwhenIstartedtheproject.Theonlyreasonit’ssplit intotwovolumesisbecauseitwasnotphysicallypossibletoprintitallasasinglebook. BothvolumesofthebookareavailableonAmazon.com.Ifyouonlyhaveoneofthevolumes,Ihighlyrecommend thatyouordertheothervolumerightawaysoyouhaveaccesstothecomplete“original”textbook,thewayI alwaysintendedit. 5 Recommended Lesson Study Plan Therecommendedstudyplanfollowsthechaptersofthetwovolumesinorder,workingfromfrontofVolume1 tobackoftheVolume2. Ifyoufollowthisstudyplan,eachlessonwillbuildonpreviouslessons.Itisthebestplantofollowformost studentsinmostsituations. Volume 2 Volume 1 20. PolynomialLongDivision 1. BasicAlgebra1 21. EquationofaCircle 2. AdvancedAlgebra1 22. Imaginary&ComplexNumbers 3. AbsoluteValue 23. ConjugateFractions 4. Algebra1WordProblems 24. Functions 5. d=rt 25. SystemsofEquations 6. AverageswithAlgebra 26. Graphs(Other) 7. Ratios&Proportions 27. Angles 8. UnitConversions 28. PythagoreanTheorem 9. LinearEquations(Algebraic) 29. SpecialRightTriangles 10. LinearEquations(Words,Charts&Tables) 30. SimilarTriangles 11. Probabilities 31. SohCahToa 12. Charts&Tables 32. AdditionalTrigonometryTopics 13. Percents 33. Circles,Arcs,Sectors&Radians 14. Exponents&Roots 34. Area&Volume 15. ExponentialGrowth&Decay 35. GeometryintoAlgebra 16. BasicAlgebra2 36. CombinedShapes 17. TheQuadraticFormula 37. BasicStatistics 18. AdvancedAlgebra2 38. StatisticsConclusions 19. Algebra2(Parabolas) 6 Topics By Frequency of Appearance on the SAT Math Test ThislistranksthetopicsbythefrequencyoftheirappearanceontheentireSATMathtest.Thislistgivesthe topicsout-of-orderandyoumayfindyourselflackingcriticalbasicskillsifyoutrytostudythelessonsinthisorder. I’vegiventheapproximatepercentagethateachtopicappearsonanaverageSATMathtest. Ifyouarenotsurewhatstudyplantouse,thenfollowthe“RecommendedStudyPlan”onthepreviouspage. 1. (10.7%)Algebra1WordProblems 20. (1.6%)Circles,Arcs,Sectors&Radians 2. (8.6%)LinearEquations(Words,Charts&Tables) 21. (1.4%)Exponents&Roots 3. (7.9%)SystemsofEquations 22. (1.4%)d=rt 4. (6.9%)BasicAlgebra1 23. (1.3%)UnitConversions 5. (4.8%)AdvancedAlgebra1 24. (1.2%)EquationofaCircle 6. (4.7%)LinearEquations(Algebraic) 25. (1.2%)TheQuadraticFormula 7. (4.3%)Graphs(Other) 26. (1.2%)Probabilities 8. (4%)Percents 27. (1.1%)SimilarTriangles 9. (3.8%)BasicAlgebra2 28. (0.9%)AdditionalTrigonometryTopics 10. (3.8%)Charts&Tables 29. (0.9%)AverageswithAlgebra 11. (3.6%)Functions 30. (0.9%)AbsoluteValue 12. (3.3%)Algebra2(Parabolas) 31. (0.7%)ConjugateFractions 13. (2.8%)ExponentialGrowth&Decay 32. (0.7%)Imaginary&ComplexNumbers 14. (2.7%)BasicStatistics 33. (0.6%)CombinedShapes 15. (2.4%)Ratios&Proportions 34. (0.6%)Area&Volume 16. (2.2%)StatisticsConclusions 35. (0.5%)PolynomialLongDivision 17. (2.2%)AdvancedAlgebra2 36. (0.4%)SohCahToa 18. (2%)GeometryintoAlgebra 37. (0.4%)SpecialRightTriangles 19. (1.9%)Angles 38. (0.1%)PythagoreanTheorem 7 Topics By Importance to No-Calculator Section ThislistranksthetopicsbytheirimportancetotheNo-CalculatorSectionoftheSATMathtest.Thereareseven topicsinthisbookthatdonotseemtoappearontheNo-CalculatorSection.I’vegiventheapproximate percentagethateachtopicappearsonanaverageSATNo-CalculatorMathtest. ThislistmaybeusefulifyouarescoringlowerontheNo-CalculatorSectionthanontheCalculatorSection. 1. (12.5%)SystemsofEquations 17. (2%)ConjugateFractions 2. (9.5%)BasicAlgebra1 18. (2%)GeometryintoAlgebra 3. (8%)LinearEquations(Words,Charts&Tables) 19. (2%)Graphs(Other) 4. (7.5%)Algebra1WordProblems 20. (1.5%)PolynomialLongDivision 5. (6.5%)BasicAlgebra2 21. (1.5%)Percents 6. (6.5%)AdvancedAlgebra1 22. (1%)SohCahToa 7. (5.5%)LinearEquations(Algebraic) 23. (1%)AbsoluteValue 8. (4.5%)AdvancedAlgebra2 24. (1%)AdditionalTrigonometryTopics 9. (4.5%)Functions 25. (1%)EquationofaCircle 10. (3.5%)Exponents&Roots 26. (1%)ExponentialGrowth&Decay 11. (3%)Angles 27. (0.5%)Area&Volume 12. (3%)Algebra2(Parabolas) 28. (0.5%)Ratios&Proportions 13. (2.8%)Circles,Arcs,Sectors&Radians 29. (0.3%)SpecialRightTriangles 14. (2.5%)SimilarTriangles 30. (0.3%)CombinedShapes 15. (2.5%)TheQuadraticFormula 31. (0.3%)AverageswithAlgebra 16. (2%)Imaginary&ComplexNumbers 8 Topics By Importance to Calculator Section ThislistranksthetopicsbytheirimportancetotheCalculatorSectionoftheSATMathtest.Therearethree topicsonthisbookthatdonotseemtoappearontheCalculatorSection.I’vegiventheapproximatepercentage thateachtopicappearsonanaverageSATCalculatorMathtest. ThislistmaybeusefulifyouarescoringlowerontheCalculatorSectionthanontheNo-CalculatorSection. 1. (12.4%)Algebra1WordProblems 19. (2%)UnitConversions 2. (8.9%)LinearEquations(Words,Charts&Tables) 20. (1.8%)Probabilities 3. (5.8%)Charts&Tables 21. (1.3%)Angles 4. (5.5%)SystemsofEquations 22. (1.3%)EquationofaCircle 5. (5.5%)BasicAlgebra1 23. (1.3%)AverageswithAlgebra 6. (5.5%)Graphs(Other) 24. (1.2%)CombinedShapes 7. (5.3%)Percents 25. (1.1%)AdvancedAlgebra2 8. (4.2%)LinearEquations(Algebraic) 26. (1.1%)Circles,Arcs,Sectors&Radians 9. (4.1%)BasicStatistics 27. (0.8%)AbsoluteValue 10. (3.9%)AdvancedAlgebra1 28. (0.8%)AdditionalTrigonometryTopics 11. (3.7%)ExponentialGrowth&Decay 29. (0.7%)Area&Volume 12. (3.4%)Algebra2(Parabolas) 30. (0.5%)TheQuadraticFormula 13. (3.4%)Ratios&Proportions 31. (0.5%)SpecialRightTriangles 14. (3.3%)StatisticsConclusions 32. (0.4%)SimilarTriangles 15. (3.2%)Functions 33. (0.3%)Exponents&Roots 16. (2.4%)BasicAlgebra2 34. (0.1%)SohCahToa 17. (2.1%)d=rt 35. (0.1%)PythagoreanTheorem 18. (2%)GeometryintoAlgebra 9 Formulas and Equations to Memorize (Volume 1) Note:Thisisapartiallistofsomeimportantformulas,equations,andconceptsthatarecommonlyseenonthe SATMathtestthatwecoverinVolume1ofSATMathMastery.RememberthatVolume2(availableonAmazon athttps://amzn.to/2z6hMge)covers19additionalSATMathtopicsthatalsohavetheirownformulas,diagrams, andconceptstomemorize. Youshouldhaveallofthesecommittedtomemorybeforetestday. Volume 1 Distance,Speed,andTime: d rt (Lesson5) sum Averages: Avg (Lesson6) # LinearEquation: y mxb (Lessons9and10) desired Probability: (Lesson11) total desired Percentageof: 100% (Lesson13) total change PercentChange: 100% (Lesson13) original 5 2 Fractional&NegativeExponents:forexample, 2x 7  (Lesson14) 7 x5 ExponentialGrowth&Decay: (Starting Value)(Percent Multiplier)number of changes (Lesson15) QuadraticEquation: ax2 bxc0 (Lessons16and17) b b2 4ac TheQuadraticFormula: X  (Lesson17) 2a 10