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TOC
Current
Table of Contents
About the Author
Acknowledgements
Preface
1
Real Numbers and Their Properties
1.1
Review of Real Numbers and Absolute Value
1.2
Operations with Real Numbers
1.3
Square and Cube Roots of Real Numbers
1.4
Algebraic Expressions and Formulas
1.5
Rules of Exponents and Scientific Notation
1.6
Roots and Radicals
1.7
Rational Exponents
1.8
Polynomials and Their Operations
1.9
Factoring Polynomials
1.10
Factoring Trinomials
1.11
Simplifying Radical Expressions
1.12
Adding and Subtracting Radical Expressions
1.13
Multiplying and Dividing Radical Expressions
2
Equations and Inequalities
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2.1
Solving Linear Equations
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2.2
Solving Equations Quadratic in Form
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2.3
Complex Numbers and Their Operations
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2.4
Extracting Square Roots and Completing the Square
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2.5
Quadratic Formula
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2.6
Solve Polynomial Equations by Factoring
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2.7
Solving Radical Equations
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2.8
Solving Rational Equations
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2.9
Solving Linear Inequalities with One Variable
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2.10
Solving Absolute Value Equations and Inequalities
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2.11
Solving Quadratic Inequalities
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2.12
Solving Polynomial and Rational Inequalities
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3
Functions and Their Graphs
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3.1
Relations, Graphs, and Functions
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3.2
Linear Functions and Their Graphs
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3.3
Circles
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3.4
Modeling Linear Functions
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3.5
Applications and Variation
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3.6
Graphing the Basic Functions
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3.7
Using Transformations to Graph Functions
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3.8
Algebra of Functions
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3.9
Rational Functions: Multiplication and Division
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3.10
Rational Functions: Addition and Subtraction
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3.11
Composition and Inverse Functions
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4
Polynomial Functions
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4.1
Quadratic Functions and Their Graphs
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5
Rational Functions and Conics
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5.1
Distance, Midpoint, and the Parabola
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5.2
Ellipses
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5.3
Hyperbolas
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6
Exponential and Logarithmic Functions
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6.1
Exponential Functions and Their Graphs
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6.2
Logarithmic Functions and Their Graphs
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6.3
Properties of the Logarithm
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6.4
Solving Exponential and Logarithmic Equations
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6.5
Applications
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7
Systems of Equations and Inequalities
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7.1
Linear Systems with Two Variables and Their Solutions
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7.2
Solving Linear Systems with Two Variables
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7.3
Applications of Linear Systems with Two Variables
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7.4
Solving Nonlinear Systems
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7.5
Solving Linear Systems with Three Variables
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7.6
Matrices and Gaussian Elimination
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7.7
Solving Inequalities with Two Variables
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7.8
Solving Systems of Inequalities with Two Variables
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8
Matrices and Determinants
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8.1
Determinants and Cramer’s Rule
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9
Sequences, Series, and Probability
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9.1
Introduction to Sequences and Series
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9.2
Arithmetic Sequences and Series
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9.3
Geometric Sequences and Series
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9.4
Binomial Theorem
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