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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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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 expressionsGet 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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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!
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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

About this unit

Rational expressions are like fractions, but instead of integers in the numerator and the denominator, you have variable expressions! Learn how to work with such expressions. Namely, simplify, add, subtract, multiply, and divide them (much like fractions!). Then, solve some equations with rational expressions in them, and analyze the behavior of rational functions.