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# Rational relationships

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Intro to rational expression simplificationIntro to rational expressionsIntro 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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Simplify rational expressions: common monomial factorsGet 3 of 4 questions to level up!

Simplify rational expressions: common binomial factorsGet 3 of 4 questions to level up!

Simplify rational expressions (advanced)Get 3 of 4 questions to level up!

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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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Multiply & divide rational expressions (basic)Get 3 of 4 questions to level up!

Multiply & divide rational expressionsGet 3 of 4 questions to level up!

Multiply & divide rational expressions (advanced)Get 3 of 4 questions to level up!

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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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Add & subtract rational expressions: like denominatorsGet 3 of 4 questions to level up!

Add & subtract rational expressions: unlike denominatorsGet 3 of 4 questions to level up!

Least common multipleGet 3 of 4 questions to level up!

Add & subtract rational expressions: factored denominatorsGet 3 of 4 questions to level up!

Add & subtract rational expressionsGet 3 of 4 questions to level up!

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Nested fractions

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Nested fractionsGet 3 of 4 questions to level up!

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Rational equations introEquations with one rational expression (advanced)Equations with rational expressionsEquations with rational expressions (example 2)

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Rational equations introGet 3 of 4 questions to level up!

Rational equations (advanced)Get 3 of 4 questions to level up!

Rational equationsGet 3 of 4 questions to level up!

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Intro to direct & inverse variationRecognizing direct & inverse variationRecognizing direct & inverse variation: tableInverse variation word problem: string vibration

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Recognize direct & inverse variationGet 3 of 4 questions to level up!

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End behavior of rational functions

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End behavior of rational functionsGet 3 of 4 questions to level up!

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Discontinuities of rational functionsAnalyzing vertical asymptotes of rational functions

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Rational function points of discontinuityGet 3 of 4 questions to level up!

Analyze vertical asymptotes of rational functionsGet 3 of 4 questions to level up!

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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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Graphs of rational functionsGet 3 of 4 questions to level up!

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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