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BeginningAlgebra(MW11) CourseScopeandSequence ThechartpresentsacompletescopeandsequenceforGiftedandTalented.com’s BeginningAlgebra.Abriefdescriptionofcontentisprovidedforeachgradeplacement andIDnumberincludedinthecourse.IDnumbersarealsoincludedforeasyreference. Introduction IntroductiontoStructuralInput HowtoInputAnswers EnteringProducts 1. Unit1.TheRealNumbers 1.1. 1.2. 1.3. 1.4. 1.5. 1.6. 1.7. 1.8. 1.9. 1.10. 1.11. 1.12. 1.13. 1.14. 1.15. 1.16. 1.17. 1.18. 1.19. 1.20. OptiontoSkipPretestforUnit1 PretestforUnit1 OptiontoSkipUnit1 IdentifyingPrimeandCompositeIntegers FactoringIntegers EnteringFractions ReducingFractionstoLowestTerms MultiplyingFractions DividingFractions FindingLCDofTwoFractions FindingLCDofThreeFractions Adding/SubtractingFractions,SameDenominator Adding/SubtractingTwoFractions Adding/SubtractingThreeFractions Fractions:Questions Fractions:Quiz Fractions:Quiz2 EvaluatingExponents OrderofOperations OrderofOperations,withGroupingSymbols 1.21. 1.22. 1.23. 1.24. 1.25. 1.26. 1.27. 1.28. 1.29. 1.30. 1.31. 1.32. 1.33. 1.34. 1.35. 1.36. 1.37. 1.38. 1.39. 1.40. 1.41. 1.42. 1.43. 1.44. 1.45. 1.46. 1.47. 1.48. 1.49. 1.50. 1.51. 1.52. 1.53. 1.54. 1.55. 1.56. 2 OrderofOperations,withNestedGroupingSymbols OrderofOperations,IncludingFractionBar OrderofOperations:Summary EvaluatingEquations Inequalities EvaluatingInequalities Symbols:Questions Symbols:Quiz ExponentsandtheOrderofOperations:Questions ExponentsandtheOrderofOperations:Quiz ExponentsandtheOrderofOperations:Quiz2 Evaluation,ExpressionswithOneVariable Evaluation,ExpressionswithTwoVariables EnteringExpressions TranslateEnglishPhraseIntoExpression EnteringEquations TranslateEnglishSentenceIntoEquation DecideWhetherNumberisSolutiontoanEquation VariablesandEquations:Questions VariablesandEquations:Quiz VariablesandEquations:Quiz2 EnteringRootsandSets IdentifyingIntegers,RationalNumbers,RealNumbers FindingAdditiveInverses EvaluatingAbsoluteValueExpressions EvaluatingInequalitiesInvolvingAbsoluteValue AddingNumberswiththeSameSign AddingNumberswithOppositeSigns SubtractingIntegers EvaluationInvolvingFractions,Grouping MultiplyingRealNumbers EnteringtheNullSetandInfinity DividingRealNumbers EvaluatingNumericalExpressions EvaluatingExpressionsInvolvingVariables TranslatingintoExpressionthenEvaluating 2. 1.57. 1.58. 1.59. 1.60. 1.61. 1.62. 1.63. 1.64. 1.65. 1.66. 1.67. 1.68. 1.69. 1.70. 1.71. 1.72. 1.73. 1.74. 1.75. 1.76. 1.77. 1.78. 1.79. 1.80. 1.81. 1.82. RealNumbersandtheNumberLine:Questions RealNumbersandtheNumberLine:Quiz RealNumbersandtheNumberLine:Quiz2 AdditionofRealNumbers:Questions AdditionofRealNumbers:Quiz SubtractionofRealNumbers:Questions SubtractionofRealNumbers:Quiz MultiplicationofRealNumbers:Questions MultiplicationofRealNumbers:Quiz DivisionofRealNumbers:Questions DivisionofRealNumbers:Quiz IdentifyingCommutative,AssociativeProperties DistributiveProperty DistributinganInitialNegativeSign PropertiesofAdditionandMultiplication:Questions PropertiesofAdditionandMultiplication:Quiz PropertiesofAdditionandMultiplication:Quiz2 IdentifyingCoefficients IdentifyingLikeTerms AddingLikeTerms EnteringExponentsandTerms SimplifyingExpressionsInvolvingParentheses SimplifyingExpressions:Questions SimplifyingExpressions:Quiz SimplifyingExpressions:Quiz2 Unit1Review Unit1Exam 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 2.8. OptiontoSkipPretestforUnit2 PretestforUnit2 OptiontoSkipUnit2 AdditionPropertyofEquality AdditionPropertyofEquality:Questions AdditionPropertyofEquality:Quiz MultiplicationProperty,IntegerCoefficient MultiplicationProperty,Implied-1Coefficient Unit2.LinearEquationsandInequalitiesinOneVariable 3 2.9. 2.10. 2.11. 2.12. 2.13. 2.14. 2.15. 2.16. 2.17. 2.18. 2.19. 2.20. 2.21. 2.22. 2.23. 2.24. 2.25. 2.26. 2.27. 2.28. 2.29. 2.30. 2.31. 2.32. 2.33. 2.34. 2.35. 2.36. 2.37. 2.38. 2.39. 2.40. 2.41. 2.42. 2.43. 2.44. 4 MultiplicationProperty,FractionalCoefficientNumerator1 MultiplicationProperty,FractionalCoefficient SolvingEquations,NoFractionsorGrouping SolvingEquationswithGroupingSymbols SolvingEquationswithFractions SolvingEquationswithDecimals SolvingEquations,CombinedPractice SolvingEquationswithoutUniqueSolutions MultiplicationPropertyofEquality:Questions MultiplicationPropertyofEquality:Quiz MultiplicationPropertyofEquality:Quiz2 SolvingLinearEquations:Questions SolvingLinearEquations:Quiz SolvingLinearEquations:Quiz2 FindUnknownNumber ConsecutiveIntegerExercises Formulas SolvingFormulaforaSpecifiedVariable RatiosandProportions MixtureExercises InterestExercises Distance-Rate-TimeExercises Applications:Questions Applications:Quiz Formulas:Questions Formulas:Quiz RatiosandProportions:Questions RatiosandProportions:Quiz Applications:Questions Applications:Quiz EnteringInequalities LinearInequalities,MultiplicationProperty LinearInequalities,AdditionandMultiplication PropertiesCompoundInequalitieswiththeAndConnective LinearInequalities:Questions LinearInequalities:Quiz 2.45. 2.46. 2.47. 2.48. 2.49. 2.50. 2.51. 2.52. 2.53. 2.54. 2.55. 2.56. 2.57. 3. LinearInequalities:Quiz2 EnteringAnswersUsingSemicolons AbsoluteValueEquations AbsoluteValueEquations,LinearFunction AbsoluteValueInequalities,LessThan AbsoluteValue,Inequalities,LessThanorEqualTo AbsoluteValueInequalities,LinearFunction AbsoluteValueInequalities,GreaterThan AbsoluteValueInequalities,GreaterThanorEqualTo AbsoluteValueInequalities,LinearFunction AbsoluteValueInequalities,CombinedPractice Unit2Review Unit2Exam Unit3.LinearEquationsandInequalitiesinTwoVariables 3.1. 3.2. 3.3. 3.4. 3.5. 3.6. 3.7. 3.8. 3.9. 3.10. 3.11. 3.12. 3.13. 3.14. 3.15. 3.16. 3.17. 3.18. 3.19. 3.20. 5 OptiontoSkipPretestforUnit3 PretestforUnit3 OptiontoSkipUnit3 EnteringOrderedPairs LinearEquationsinTwoVariables:CheckingSolutions LinearEquations,FindOtherCoordinate LinearEquationsinTwoVariables:Questions LinearEquationsinTwoVariables:Quiz Findingx-intercepts Findingy-intercepts GraphingLinearEquationsinTwoVariables:Questions GraphingLinearEquationsinTwoVariables:Quiz EquationsofHorizontalLines EquationsofVerticalLines FindSlopeofLineThroughTwoPoints IdentifySlopeofHorizontalandVerticalLines GivenSlope-InterceptForm,IdentifytheSlope GivenSlope-InterceptForm,Identifythey-intercept EnteringFractionalCoefficients GivenSlopeandy-intercept,WriteEquation GivenPointandSlope,WriteEquation 4. 3.21. 3.22. 3.23. 3.24. 3.25. 3.26. 3.27. 3.28. 3.29. 3.30. 3.31. 3.32. 3.33. 3.34. 3.35. 3.36. 3.37. 3.38. 3.39. 3.40. 3.41. ConvertingfromPoint-SlopetoSlope-InterceptForm GivenTwoPoints,WriteEquationofLineThroughThem ConvertEquationintoStandardForm FindEquationforLineinStandardForm IdentifySlopeofParallelorPerpendicularLine FindEquationforParallelLine FindEquationforPerpendicularLine TheSlopeofaLine:Questions TheSlopeofaLine:Quiz EquationsofaLine:Quiz EquationsofaLine:Quiz2 GraphingLinearInequalitiesinTwoVariables:Questions GraphingLinearInequalitiesinTwoVariables:Quiz IdentifyingFunctionsGivenasSetsofOrderedPairs IdentifyingFunctionsGivenasAlgebraicEquations EvaluatingFunctions Functions:Questions Functions:Quiz Functions:Quiz2 Unit3Review Unit3Exam 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. 4.8. 4.9. 4.10. 4.11. 4.12. 4.13. OptiontoSkipPretestforUnit4 PretestforUnit4 OptiontoSkipUnit4 DecideWhetherOrderedPairisSolutionto2x2 SystemSolvingSystemsbyGraphing:Quiz SolvingSystemsbyGraphing:Quiz2 SolvingSystemsbySubstitution Substitution,withNeitherSolvedforaVariableInitially SolvingSystemsbySubstitution:Quiz SolvingSystemsbySubstitution:Quiz2 SolvingSystemsbyAddition AdditionMethod,MustMultiplyOneEquationFirst AdditionMethod,BothEquationsMustbeMultiplied Unit4.SystemsofLinearEquationsandInequalities 6 4.14. 4.15. 4.16. 4.17. 4.18. 4.19. 4.20. 4.21. 4.22. AdditionMethod,InvolvingFractions InconsistentSystemsandDependentSystems SolvingSystems,CombinedPractice SolvingSystemsbyAddition:Quiz SolvingSystemsbyAddition:Quiz2 WordProblemsInvolving2x2Systems:Quiz SystemsofLinearInequalities:Quiz Unit4Review Unit4Exam 5. Unit5.PolynomialsandExponents 5.1. 5.2. 5.3. 5.4. 5.5. 5.6. 5.7. 5.8. 5.9. 5.10. 5.11. 5.12. 5.13. 5.14. 5.15. 5.16. 5.17. 5.18. 5.19. 5.20. 5.21. 5.22. 5.23. 5.24. 5.25. 5.26. 5.27. 7 OptiontoSkipPretestforUnit5 PretestforUnit5 OptiontoSkipUnit5 TermsandCoefficients DegreeofaTerm,ofaPolynomial AddingLikeTerms AddingLikeTerms,PolynomialswithSeveralVariables EvaluatingPolynomials AddingPolynomials SubtractingPolynomials Polynomials:Questions Polynomials:Quiz Polynomials:Quiz2 Exponents:Terminology ProductRulewithTwoExpressions ProductRulewithThreeExpressions ProductRule,TwoExpressionswithCoefficients ProductRule,ThreeExpressionswithCoefficients PowerRule,PowerofaPower PowerRule,ProducttoaPower PowerRule,QuotienttoaPower Exponents:Questions Exponents:Quiz Exponents:Quiz2 MultiplicationofMonomials MonomialTimesaBinomial MonomialTimesaTrinomial 5.28. 5.29. 5.30. 5.31. 5.32. 5.33. 5.34. 5.35. 5.36. 5.37. 5.38. 5.39. 5.40. 5.41. 5.42. 5.43. 5.44. 5.45. 5.46. 5.47. 5.48. 5.49. 5.50. 5.51. 5.52. 5.53. 5.54. 5.55. 5.56. 5.57. 5.58. 5.59. 5.60. 5.61. 5.62. 5.63. 5.64. 5.65. 5.66. 8 ProductsofBinomialswithLeadingCoefficient1 ProductsofBinomials MonomialTimestheProductofTwoBinomials BinomialTimesaTrinomial MultiplicationofPolynomials:Questions MultiplicationofPolynomials:Quiz MultiplicationofPolynomials:Quiz2 SquareofaBinomial,TermsAdded SquareofaBinomial,TermsSubtracted SumofTwoTermsTimesTheirDifference SpecialProducts:Questions SpecialProducts:Quiz SpecialProducts:Quiz2 ZeroasanExponent NegativeExponentsAppliedtoIntegers NegativeExponentsAppliedtoFractions QuotientRule CombinedPracticeUsingExponentRules QuotientRule:Questions QuotientRule:Quiz QuotientRule:Quiz2 DividingaMonomialbyaMonomial DividingaPolynomialbyaMonomial DivisionbyaMonomial:Questions DivisionbyaMonomial:Quiz EnteringAnswersforPolynomialLongDivision DividingaQuadraticbyaBinomial,Coefficient1 DividingaPolynomialbyaBinomial,Coefficient1 DividingaPolynomialbyaBinomial DividingaPolynomialbyaQuadratic LongDivisionofPolynomials:Questions LongDivisionofPolynomials:Quiz LongDivisionofPolynomials:Quiz2 ConvertingLargeIntegertoScientificNotation ConvertingSmallNumbertoScientificNotation ConvertingfromScientificNotation,PositiveExponent ConvertingfromScientificNotation,NegativeExponent MultiplicationwithScientificNotation DivisionwithScientificNotation 5.67. 5.68. 5.69. 5.70. 5.71. 5.72. 6. ExponentialGrowth ExponentialDecay ScientificNotation:Questions ScientificNotation:Quiz Unit5Review Unit5Exam Unit6.FactoringPolynomials 6.1. 6.2. 6.3. 6.4. 6.5. 6.6. 6.7. 6.8. 6.9. 6.10. 6.11. 6.12. 6.13. 6.14. 6.15. 6.16. 6.17. 6.18. 6.19. 6.20. 6.21. 6.22. 6.23. 6.24. 6.25. 6.26. 6.27. 6.28. 6.29. 6.30. 6.31. 9 OptiontoSkipPretestforUnit6 PretestforUnit6 OptiontoSkipUnit6 FindingtheGCFofPolynomials FactoringtheGCFofTermsfromaPolynomial EnteringFactoredPolynomials FactoringbyGrouping Factoring:Questions Factoring:Quiz Factoring:Quiz2 FactoringTrinomials,AllCoefficientsPositive FactoringTrinomials,MiddleTerm-,ConstantTerm+ FactoringTrinomials,MiddleTerm+,ConstantTerm- FactoringTrinomials,MiddleTerm-,ConstantTerm- FactoringTrinomials,LeadingCoefficient1 FactoringTrinomials:Questions FactoringTrinomials:Quiz FactoringTrinomials:Quiz2 FactoringTrinomials,Non-UnitLeadingCoefficient FactoringwithCommonFactorsAmongTerms FactoringTrinomials,CombinedPractice FactoringTrinomials,Part2:Questions FactoringTrinomials,Part2:Quiz FactoringTrinomials,Part2:Quiz2 DifferenceofTwoSquares,LeadingCoefficient1 DifferenceofTwoSquares PerfectSquareTrinomials,LeadingCoefficient PerfectSquareTrinomials DifferenceofTwoCubes,LeadingCoefficient1 DifferenceofTwoCubes SumofTwoCubes,LeadingCoefficient1 6.32. 6.33. 6.34. 6.35. 6.36. 6.37. 6.38. 6.39. 6.40. 6.41. 6.42. 6.43. 6.44. 6.45. 6.46. 6.47. 6.48. 6.49. 6.50. 7. SumofTwoCubes SpecialFactorizations,CombinedPractice SpecialFactorizations:Questions SpecialFactorizations:Quiz Zero-FactorProperty SolvingQuadraticEquationsbyFactoring SolvingHarderQuadraticEquationsbyFactoring SolvingQuadraticEquations:Questions SolvingQuadraticEquations:Quiz SolvingQuadraticEquations:Quiz2 AreaExercises ThePythagoreanTheorem ApplicationsofQuadraticEquations:Questions ApplicationsofQuadraticEquations:Quiz QuadraticInequalities:Questions QuadraticInequalities:Quiz QuadraticInequalities:Quiz2 Unit6Review Unit6Exam Unit7.RadicalExpressionsandEquations 7.1. 7.2. 7.3. 7.4. 7.5. 7.6. 7.7. 7.8. 7.9. 7.10. 7.11. 7.12. 7.13. 7.14. 7.15. 7.16. 7.17. 7.18. 10 OptiontoSkipPretestforUnit7 PretestforUnit7 OptiontoSkipUnit7 FindingPointsatwhichRationalFunctionsareUndefined EvaluatingRationalExpressions ReducingRationalExpressionstoLowestTerms,Monomials EnteringRationalExpressions ReducingRationalExpressionstoLowestTerms ReducingtoLowestTerms,OppositeLinearFactors RationalExpressions:Questions RationalExpressions:Quiz RationalExpressions:Quiz2 MultiplyingRationalExpressions,Monomials MultiplyingRationalExpressions,LinearPolynomials MultiplyingRationalExpressions DividingRationalExpressions,LinearPolynomials DividingRationalExpressions MultiplyingandDividingRationalExpressions:Questions 8. 7.19. 7.20. 7.21. 7.22. 7.23. 7.24. 7.25. 7.26. 7.27. 7.28. 7.29. 7.30. 7.31. 7.32. 7.33. 7.34. 7.35. 7.36. 7.37. 7.38. 7.39. 7.40. 7.41. 7.42. 7.43. 7.44. 7.45. 7.46. 7.47. 7.48. 7.49. MultiplyingandDividingRationalExpressions:Quiz FindingLCD,LinearDenominators FindingLCD,QuadraticDenominators WritingRationalExpressionwithGivenDenominator FindingLCDs:Questions FindingLCDs:Quiz FindingLCDs:Quiz2 AddingRationalExpressionswithSameDenominators AddingRationalExpressions SubtractingRationalExpressions AddingandSubtracting,OppositeLinearFactors AddingandSubtractingRationalExpressions,Combined AddingandSubtractingRationalExpressions:Questions AddingandSubtractingRationalExpressions:Quiz AddingandSubtractingRationalExpressions:Quiz2 ComplexFractions:SimplifybyCombining ComplexFractions:SimplifybyClearingDenominators ComplexFractions:Questions ComplexFractions:Quiz ComplexFractions:Quiz2 SolvingRationalEquationsbyCross-Multiplying SolvingRationalEquations RationalEquations:Questions RationalEquations:Quiz RationalEquations:Quiz2 WordProblemsInvolvingRationalEquations CombinedWorkExercises ApplicationsofRationalEquations:Questions ApplicationsofRationalEquations:Quiz Unit7Review Unit7Exam 8.1. 8.2. 8.3. 8.4. 8.5. 8.6. OptiontoSkipPretestforUnit8 PretestforUnit8 OptiontoSkipUnit8 EvaluatingSquareRoots EvaluatingRootsofHigherIndex Radicals:Quiz Unit8.RadicalExpressionsandEquations 11 8.7. 8.8. 8.9. 8.10. 8.11. 8.12. 8.13. 8.14. 8.15. 8.16. 8.17. 8.18. 8.19. 8.20. 8.21. 8.22. 8.23. 8.24. 8.25. 8.26. 8.27. 8.28. 8.29. 8.30. 8.31. 8.32. 8.33. 8.34. 8.35. 8.36. Radicals:Quiz2 ReducingSquareRoots ReducingRadicalsofHigherIndex MultiplyingRadicals MultiplyingandDividingRadicals:Quiz AddingandSubtractingRadicals ProductsofBinomialsInvolvingRadicals AddingandSubtractingRadicals:Quiz AddingandSubtractingRadicals:Quiz2 RationalizingtheDenominatorwithSquareRoots RationalizingtheDenominatorwithCubeRoots UsingConjugates RationalizingtheDenominator:Quiz RationalizingtheDenominator:Quiz2 SimplifyingRadicalExpressions:Quiz SimplifyingRadicalExpressions:Quiz2 RadicalEquations RadicalEquations,IsolateRadicalFirst RadicalEquations:TheDistanceFormula RadicalEquations:Quiz RadicalEquations:Quiz2 EvaluatingFractionalExponentswithNumerator1 EvaluatingFractionalExponents EnteringFractionalExponents ApplyingExponentRuleswithFractionalExponents SimplifyingRadicalsUsingFractionalExponents FractionalExponents:Quiz FractionalExponents:Quiz2 Unit8Review Unit8Exam 9. Unit9.QuadraticEquations 9.1. OptiontoSkipPretestforUnit9 9.2. PretestforUnit9 9.3. OptiontoSkipUnit9 9.4. UsingtheSquareRootProperty 9.5. SquareRootPropertywithBinomial,LeadingCoefficient1 9.6. SquareRootPropertywithBinomial 9.7. UsingtheSquareRootProperty:Quiz 12 9.8. 9.9. 9.10. 9.11. 9.12. 9.13. 9.14. 9.15. 9.16. 9.17. 9.18. 9.19. 9.20. 9.21. 9.22. 10. 13 CompletingtheSquare,LeadingCoefficient1 CompletingtheSquare,InvolvingFractions CompletingtheSquare CompletingtheSquare:Quiz CompletingtheSquare:Quiz2 TheQuadraticFormula TheQuadraticFormula,SimplifyFirst TheQuadraticFormula:Quiz TheQuadraticFormula:Quiz2 TheDiscriminant ComplexNumbers:Quiz ComplexNumbers:Quiz2 GraphingQuadraticEquations:Quiz Unit9Review Unit9Exam FinalExam