Intermediate Algebra | John Redden

- 1Algebra Fundamentals
- 2Graphing Functions and Inequalities
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  - 2.1Relations, Graphs, and Functions
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  - 2.2Linear Functions and Their Graphs
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  - 2.3Modeling Linear Functions
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  - 2.4Graphing the Basic Functions
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  - 2.5Using Transformations to Graph Functions
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  - 2.6Solving Absolute Value Equations and Inequalities
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  - 2.7Solving Inequalities with Two Variables
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  - 2.8Review Exercises and Sample Exam
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- 3Solving Linear Systems
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  - 3.1Linear Systems with Two Variables and Their Solutions
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  - 3.2Solving Linear Systems with Two Variables
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  - 3.3Applications of Linear Systems with Two Variables
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  - 3.4Solving Linear Systems with Three Variables
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  - 3.5Matrices and Gaussian Elimination
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  - 3.6Determinants and Cramer’s Rule
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  - 3.7Solving Systems of Inequalities with Two Variables
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  - 3.8Review Exercises and Sample Exam
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- 4Polynomial and Rational Functions
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  - 4.1Algebra of Functions
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  - 4.2Factoring Polynomials
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  - 4.3Factoring Trinomials
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  - 4.4Solve Polynomial Equations by Factoring
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  - 4.5Rational Functions: Multiplication and Division
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  - 4.6Rational Functions: Addition and Subtraction
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  - 4.7Solving Rational Equations
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  - 4.8Applications and Variation
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  - 4.9Review Exercises and Sample Exam
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- 5Radical Functions and Equations
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  - 5.1Roots and Radicals
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  - 5.2Simplifying Radical Expressions
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  - 5.3Adding and Subtracting Radical Expressions
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  - 5.4Multiplying and Dividing Radical Expressions
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  - 5.5Rational Exponents
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  - 5.6Solving Radical Equations
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  - 5.7Complex Numbers and Their Operations
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  - 5.8Review Exercises and Sample Exam
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- 6Solving Equations and Inequalities
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  - 6.1Extracting Square Roots and Completing the Square
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  - 6.2Quadratic Formula
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  - 6.3Solving Equations Quadratic in Form
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  - 6.4Quadratic Functions and Their Graphs
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  - 6.5Solving Quadratic Inequalities
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  - 6.6Solving Polynomial and Rational Inequalities
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  - 6.7Review Exercises and Sample Exam
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- 7Exponential and Logarithmic Functions
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  - 7.1Composition and Inverse Functions
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  - 7.2Exponential Functions and Their Graphs
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  - 7.3Logarithmic Functions and Their Graphs
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  - 7.4Properties of the Logarithm
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  - 7.5Solving Exponential and Logarithmic Equations
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  - 7.6Applications
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  - 7.7Review Exercises and Sample Exam
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- 8Conic Sections
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  - 8.1Distance, Midpoint, and the Parabola
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  - 8.2Circles
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  - 8.3Ellipses
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  - 8.4Hyperbolas
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  - 8.5Solving Nonlinear Systems
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  - 8.6Review Exercises and Sample Exam
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- 9Sequences, Series, and the Binomial Theorem
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  - 9.1Introduction to Sequences and Series
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  - 9.2Arithmetic Sequences and Series
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  - 9.3Geometric Sequences and Series
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  - 9.4Binomial Theorem
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  - 9.5Review Exercises and Sample Exam
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