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Modeling with function combination

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Modeling with function combination

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Interpreting features of functions

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Periodicity of algebraic models

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End behavior of algebraic models

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Symmetry of algebraic models

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Manipulating formulas

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Manipulating formulas: perimeter

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Manipulating formulas: area

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Manipulating formulas: temperature

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Modeling with equations and inequalities

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Rational equation word problem

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Quadratic inequality word problem

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Exponential equation word problem

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Cancelling common factors

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Intro to rational expression simplification

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Simplifying rational expressions: opposite common binomial factors

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Simplifying rational expressions: grouping

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Simplifying rational expressions: higher degree terms

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Simplifying rational expressions: two variables

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Simplifying rational expressions: common monomial factors

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Simplifying rational expressions: common binomial factors

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End behavior of rational functions

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End behavior of rational functions

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Discontinuities of rational functions

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Discontinuities of rational functions

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Analyzing vertical asymptotes of rational functions

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Graphs of rational functions

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Graphing rational functions according to asymptotes

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Graphs of rational functions: y-intercept

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Graphs of rational functions: horizontal asymptote

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Graphs of rational functions: vertical asymptotes

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Graphs of rational functions: zeros

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Graphs of rational functions (old example)

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Graphing rational functions 1

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Graphing rational functions 2

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Graphing rational functions 3

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Graphing rational functions 4

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Modeling with rational functions

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Analyzing structure word problem: pet store (2 of 2)

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Rational equations word problem: combined rates

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Rational equations word problem: combined rates (example 2)

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Rational equations word problem: eliminating solutions

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Reasoning about unknown variables

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Reasoning about unknown variables: divisibility

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Structure in rational expression

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Analyzing structure word problem: pet store (1 of 2)

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Multiplying and dividing rational expressions

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Multiplying & dividing rational expressions: monomials

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Multiplying rational expressions

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Dividing rational expressions

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Multiplying rational expressions: multiple variables

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Dividing rational expressions: unknown expression