## Algebra 1 Examples

Variable ExpressionsOrder of OperationsPatterns and EquationsEquations and InequalitiesDomain and Range of a FunctionFunctions as GraphsWord Problem Solving Plan 1Word Problem Solving StrategiesIntegers and Rational NumbersAddition of Rational NumbersSubraction of Rational NumbersMultiplication of Rational NumbersDistributive PropertyDivision of Rational NumbersSquare Roots and Real NumbersProblem Solving Word Problems 2One Step EquationsTwo-Step EquationsMulti-Step EquationsEquations with Variables on Both SidesRatio and ProportionScale and Indirect MeasurementPercent ProblemsWord Problem Solving 3The Coordinate PlaneGraphing Using InterceptsGraphs of Linear EquationsSlope and Rate of ChangeGraphs Using Slope-Intercept FormDirect Variation ModelsLinear Function GraphsWord Problem Solving 4Linear Equations in Slope Intercept FormLinear Equations in Point Slope FormLinear Equations in Standard FormEquations of Parallel and Perpendicular LinesFitting a Line to DataPredicting with Linear ModelsUsing a Linear ModelInequalities Using Addition and SubtractionInequalities Using Multiplication and DivisionMulti-Step InequalitiesCompound InequalitiesAbsolute Value EquationsAbsolute Value InequalitiesGraphing InequalitiesSolving Linear Systems by GraphingSolving Linear Systems by SubstitutionSolving Systems of Equations by EliminationSolving Systems of Equations by MultiplicationSpecial Types of Linear SystemsSystems of Linear InequalitiesExponent Properties Involving ProductsExponent Properties Involving QuotientsZero, Negative, and Fractional ExponentsScientific NotationExponential Growth FunctionsExponential Decay FunctionsGeometric Sequences (Introduction)Word Problem Solving- Exponential Growth and DecayAddition and Subtraction of PolynomialsMultiplication of PolynomialsSpecial Products of BinomialsPolynomial Equations in Factored FormFactoring Quadratic ExpressionsFactoring Special ProductsFactor by Grouping and Factoring CompletelyGraphs of Quadratic FunctionsSolving Quadratic Equations by GraphingSolving Quadratic Equations by Square RootsSolving Quadratic Equations by Completing the SquareUsing the Quadratic FormulaProof of Quadratic FormulaDiscriminant of Quadratic EquationsLinear, Quadratic, and Exponential ModelsIdentifying Quadratic ModelsIdentifying Exponential ModelsQuadratic RegressionGraphs of Square Root FunctionsRadical Expressions with Higher RootsMore Simplifying Radical ExpressionsHow to Rationalize a DenominatorExtraneous Solutions to Radical EquationsRadical Equation ExamplesMore Involved Radical Equation ExamplePythagorean TheoremDistance FormulaMidpoint FormulaVisual Pythagorean Theorem ProofAverage or Central Tendency: Arithmetic Mean, Median, and ModeRange, Variance and Standard Deviation as Measures of DispersionStem and Leaf PlotsHistogramsBox-and-whisker PlotProportionalityAsymptotes of Rational FunctionsAnother Rational Function Graph ExampleA Third Example of Graphing a Rational FunctionPolynomial DivisionSimplifying Rational ExpressionsMultiplying and Dividing Rational ExpressionsAdding Rational Expressions Example 1Adding Rational Expressions Example 2Adding Rational Expressions Example 3Solving Rational EquationsTwo more examples of solving rational equationsSurveys and SamplesPythagorean Theorem 3