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# Rational expressions, equations, & functions

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Intro to rational expressions

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Intro to rational expression simplificationIntro to simplifying rational expressionsSimplifying rational expressions: common monomial factorsSimplifying rational expressions: common binomial factorsSimplifying rational expressions: opposite common binomial factorsSimplifying rational expressions (advanced)Simplifying rational expressions: groupingSimplifying rational expressions: higher degree termsSimplifying rational expressions: two variablesSimplifying rational expressions (old video)

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Multiplying & dividing rational expressions: monomialsMultiplying rational expressionsDividing rational expressionsMultiplying rational expressionsDividing rational expressionsMultiplying rational expressions: multiple variablesDividing rational expressions: unknown expression

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Adding & subtracting rational expressions: like denominatorsIntro to adding & subtracting rational expressionsIntro to adding rational expressions with unlike denominatorsAdding rational expression: unlike denominatorsSubtracting rational expressions: unlike denominatorsLeast common multipleLeast common multiple: repeating factorsSubtracting rational expressions: factored denominatorsLeast common multiple of polynomialsAdding & subtracting rational expressions (advanced)Subtracting rational expressions

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Nested fractions

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Rational equations introEquations with one rational expression (advanced)Equations with rational expressionsEquations with rational expressions (example 2)Equation with two rational expressions (old example)Equation with two rational expressions (old example 2)Equation with two rational expressions (old example 3)

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Intro to direct & inverse variationRecognizing direct & inverse variationRecognizing direct & inverse variation: tableDirect variation word problem: filling gasDirect variation word problem: space travelInverse variation word problem: string vibrationProportionality constant for direct variation

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End behavior of rational functions

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Discontinuities of rational functionsAnalyzing vertical asymptotes of rational functions

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Graphing rational functions according to asymptotesGraphs of rational functions: y-interceptGraphs of rational functions: horizontal asymptoteGraphs of rational functions: vertical asymptotesGraphs of rational functions: zerosGraphs of rational functions (old example)Graphing rational functions 1Graphing rational functions 2Graphing rational functions 3Graphing rational functions 4

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Analyzing structure word problem: pet store (1 of 2)Analyzing structure word problem: pet store (2 of 2)Rational equations word problem: combined ratesRational equations word problem: combined rates (example 2)Rational equations word problem: eliminating solutionsReasoning about unknown variablesReasoning about unknown variables: divisibilityStructure in rational expression

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Rational inequalities: one side is zeroRational inequalities: both sides are not zero

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Intro to partial fraction expansionPartial fraction expansionPartial fraction expansion: repeated factors

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**Rational expressions, equations, & functions**with these 14 questions.