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linear equations: complete the solutionSolve linear equations: word problemsRearrange multi-variable equationsGraph inequalitiesWrite inequalities from graphsSolve linear inequalitiesGraph solutions to linear inequalitiesFind the slope of a linear functionGraph a linear functionWrite the equation of a linear functionLinear functions over unit intervalsIs (x, y) a solution to the system of equations?Solve a system of equations by graphingSolve a system of equations by graphing: word problemsFind the number of solutions to a system of equationsClassify a system of equationsSolve a system of equations using substitutionSolve a system of equations using substitution: word problemsSolve a system of equations using eliminationSolve a system of equations using elimination: word problemsSolve a system of equations using any methodSolve a system of equations using any method: word problemsSolve a system of equations in three variables using substitutionSolve a system of equations in three variables using eliminationDetermine the number of solutions to a system of equations in three variablesWrite two-variable linear inequalities: word problemsGraph a two-variable linear inequalityIs (x, y) a solution to the system of inequalities?Solve systems of linear inequalities by graphingFind the vertices of a solution set for a system of linear inequalitiesLinear programmingSolve absolute value equationsGraph solutions to absolute value equationsWrite absolute value equations from graphsSolve absolute value inequalitiesGraph solutions to absolute value inequalitiesDomain and range of absolute value functions: graphsDomain and range of absolute value functions: equationsGraph an absolute value functionTransformations of absolute value functionsGraph solutions to two-variable absolute value inequalitiesSolve systems of linear and absolute value inequalities by graphingEvaluate piecewise-defined functionsGraph piecewise-defined functionsSort rational and irrational numbersClassify rational and irrational numbersProperties of operations on rational and irrational numbersIntroduction to complex numbersAdd and subtract complex numbersComplex conjugatesMultiply complex numbersDivide complex numbersAdd, subtract, multiply, and divide complex numbersAbsolute values of complex numbersPowers of iPolynomial vocabularyAdd and subtract polynomialsMultiply polynomialsDivide polynomials using long divisionDivide polynomials using synthetic divisionAdd, subtract, multiply, and divide polynomialsEvaluate polynomials using synthetic divisionPascal's trianglePascal's triangle and the Binomial TheoremBinomial Theorem IBinomial Theorem IISort factors of single-variable expressionsSort factors of multi-variable expressionsFactor out a monomialFactor quadratics using algebra tilesFactor quadraticsFactor using a quadratic patternFactor by groupingFactor sums and differences of cubesFactor polynomialsCharacteristics of quadratic functions: graphsCharacteristics of quadratic functions: equationsComplete a function table: quadratic functionsTransformations of quadratic functionsGraph a quadratic functionWrite a quadratic function in vertex formMatch quadratic functions and graphsDomain and range of quadratic functions: graphsDomain and range of quadratic functions: equationsWrite a quadratic function from its zerosWrite a quadratic function in vertex form from its vertex and another pointWrite a quadratic function in factored form from its x-intercepts and another pointWrite a quadratic function in standard form from its x-intercepts and another pointWrite a quadratic function from three pointsInterpret parts of quadratic expressions: word problemsSolve a quadratic equation using square rootsSolve a quadratic equation using the zero product propertySolve a quadratic equation by factoringComplete the squareSolve a quadratic equation by completing the squareSolve a quadratic equation using the quadratic formulaSolve quadratic equations: word problemsUsing the discriminantGraph solutions to quadratic inequalitiesSolve quadratic inequalitiesSolve a system of linear and quadratic equations by graphing: parabolasSolve a system of linear and quadratic equations: parabolasSolve a system of linear and quadratic equations: circlesSolve a system of quadratic equations by graphing: parabolasSolve a nonlinear system of equationsSolve polynomial equationsFind the roots of factored polynomialsWrite a polynomial from its rootsRational root theoremComplex conjugate theoremConjugate root theoremsDescartes' Rule of SignsFundamental Theorem of AlgebraMatch polynomials and graphs using end behaviorMatch polynomials and graphs using zerosMatch polynomials and graphsDomain and range of polynomialsEven and odd functionsRoots of integersRoots of rational numbersFind roots using a calculatorSimplify radical expressions with variables ISimplify radical expressions with variables IINth rootsMultiply radical expressionsSimplify radical expressions involving fractionsAdd and subtract radical expressionsSimplify radical expressions using the distributive propertySimplify radical expressions using conjugatesDomain and range of radical functionsGraph square root functionsGraph cube root functionsSolve radical equationsEvaluate rational exponentsConvert between rational exponents and radicalsMultiplication with rational exponentsDivision with rational exponentsPower ruleSimplify expressions involving rational exponents ISimplify expressions involving rational exponents IISolve equations with rational exponentsAdd and subtract functionsMultiply functionsDivide functionsComposition of linear functions: find a valueComposition of linear functions: find an equationComposition of linear and quadratic functions: find a valueComposition of linear and quadratic functions: find an equationIdentify inverse functionsFind values of inverse functions from tablesFind values of inverse functions from graphsGraphs of inverse functionsFind inverse functions and relationsFunction transformation rulesTranslations of functionsReflections of functionsDilations of functionsTransformations of functionsDescribe function transformationsRational functions: asymptotes and excluded valuesEvaluate rational expressions IEvaluate rational expressions IISimplify rational expressionsMultiply and divide rational expressionsAdd and subtract rational expressionsSimplify complex fractionsSolve rational equationsWrite and solve direct variation equationsWrite and solve inverse variation equationsClassify variationWrite joint and combined variation equations IFind the constant of variationWrite joint and combined variation equations IISolve variation equationsDomain and range of exponential functionsEvaluate exponential functionsWrite exponential functions: word problemsGraph exponential functionsMatch exponential functions and graphsExponential functions over unit intervalsIdentify linear and exponential functionsDescribe linear and exponential growth and decayExponential growth and decay: word problemsExponential growth and decayConvert between exponential and logarithmic form: rational basesConvert between natural exponential and logarithmic formConvert between exponential and logarithmic form: all basesEvaluate logarithmsEvaluate natural logarithmsChange of base formulaEvaluate logarithms using a calculatorIdentify properties of logarithmsProduct property of logarithmsQuotient property of logarithmsPower property of logarithmsProperties of logarithms: mixed reviewEvaluate logarithms using propertiesDomain and range of logarithmic functionsGraph logarithmic functionsSolve exponential equations by rewriting the baseSolve exponential equations using common logarithmsSolve exponential equations using natural logarithmsCompound interest: word problemsContinuously compounded interest: word problemsSolve logarithmic equations ISolve logarithmic equations IIIdentify the direction a parabola opensFind the vertex of a parabolaFind the focus or directrix of a parabolaFind the axis of symmetry of a parabolaWrite equations of parabolas in vertex form from graphsWrite equations of parabolas in vertex form using propertiesConvert equations of parabolas from general to vertex formFind properties of a parabola from equations in general formGraph parabolasFind the center of a circleFind the radius or diameter of a circleWrite equations of circles in standard form from graphsWrite equations of circles in standard form using propertiesConvert equations of circles from general to standard formFind properties of circles from equations in general formGraph circlesFind the center, vertices, or co-vertices of an ellipseFind the length of the major or minor axis of an ellipseFind the foci of an ellipseWrite equations of ellipses in standard form from graphsWrite equations of ellipses in standard form using propertiesConvert equations of ellipses from general to standard formFind properties of ellipses from equations in general formFind the center of a hyperbolaFind the vertices of a hyperbolaFind the length of the transverse or conjugate axes of a hyperbolaFind the equations for the asymptotes of a hyperbolaFind the foci of a hyperbolaWrite equations of hyperbolas in standard form from graphsWrite equations of hyperbolas in standard form using propertiesConvert equations of hyperbolas from general to standard formFind properties of hyperbolas from equations in general formConvert between radians and degreesRadians and arc lengthGraphs of anglesQuadrantsCoterminal anglesReference anglesPythagorean Theorem and its converseSpecial right trianglesTrigonometric ratios: sin, cos, and tanTrigonometric ratios: csc, sec, and cotTrigonometric ratios in similar right trianglesFind trigonometric ratios using the unit circleSin, cos, and tan of special anglesCsc, sec, and cot of special anglesFind trigonometric ratios using reference anglesFind trigonometric functions using a calculatorInverses of sin, cos, and tan: degreesInverses of sin, cos, and tan: radiansInverses of csc, sec, and cotSolve trigonometric equations ISolve trigonometric equations IITrigonometric ratios: find a side lengthTrigonometric ratios: find an angle measureSolve a right triangleTrigonometric ratios: word problemsLaw of SinesLaw of CosinesSolve a triangleArea of a triangle: sine formulaArea of a triangle: Law of SinesFind properties of sine functionsWrite equations of sine functions from graphsWrite equations of sine functions using propertiesGraph sine functionsGraph translations of sine functionsFind properties of cosine functionsWrite equations of cosine functions from graphsWrite equations of cosine functions using propertiesGraph cosine functionsGraph translations of cosine functionsFind properties of sine and cosine functionsWrite equations of sine and cosine functions from graphsWrite equations of sine and cosine functions using propertiesGraph sine and cosine functionsGraph translations of sine and cosine functionsComplementary angle identitiesSymmetry and periodicity of trigonometric functionsFind trigonometric ratios using a Pythagorean or reciprocal identityFind trigonometric ratios using multiple identitiesTrigonometric sum and difference identitiesSolve trigonometric equations using sum and difference identitiesFind terms of an arithmetic sequenceFind terms of a geometric sequenceEvaluate explicit formulas for sequencesEvaluate recursive formulas for sequencesClassify formulas and sequencesWrite a formula for an arithmetic sequenceWrite a formula for a geometric sequenceWrite a formula for a recursive sequenceConvert a recursive formula to an explicit formulaConvert an explicit formula to a recursive formulaConvert between explicit and recursive formulasSequences: mixed reviewIdentify arithmetic and geometric seriesIntroduction to sigma notationFind the sum of an arithmetic seriesFind the sum of a finite geometric seriesIntroduction to partial sumsPartial sums of arithmetic seriesPartial sums of geometric seriesPartial sums: mixed reviewConvergent and divergent geometric seriesFind the value of an infinite geometric seriesWrite a repeating decimal as a fractionCalculate probabilities of eventsCounting principleCombinations and permutationsFind probabilities using combinations and permutationsFind probabilities using two-way frequency tablesIdentify independent eventsProbability of independent and dependent eventsFind conditional probabilitiesIndependence and conditional probabilityFind conditional probabilities using two-way frequency tablesFind probabilities using the addition ruleIdentify probability distributionsIdentify discrete and continuous random variablesWrite a discrete probability distributionGraph a discrete probability distributionExpected values of random variablesVariance of random variablesStandard deviation of random variablesWrite the probability distribution for a game of chanceExpected values for a game of chanceChoose the better betFind probabilities using the binomial distributionFind probabilities using the normal distribution IFind probabilities using the normal distribution IIFind z-valuesFind values of normal variablesDistributions of sample meansIdentify biased samplesVariance and standard deviationIdentify an outlierIdentify an outlier and describe the effect of removing itFind confidence intervals for population meansFind confidence intervals for population proportionsInterpret confidence intervals for population meansExperiment designAnalyze the results of an experiment using simulationsOutliers in scatter plotsMatch correlation coefficients to scatter plotsCalculate correlation coefficientsFind the equation of a regression lineInterpret regression linesAnalyze a regression line of a data setExponential regressionMatrix vocabularyMatrix operation rulesAdd and subtract matricesMultiply a matrix by a scalarAdd and subtract scalar multiples of matricesMultiply two matricesSimplify matrix expressionsProperties of matricesSolve 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