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- 1.1 The Real Number System
- 1.2 Operations with Real Numbers
- 1.3 Properties of Real Numbers
- 1.4 Algebraic Expressions
- 1.5 Constructing Algebraic Expressions

- 2.1 Linear Equations
- 2.2 Linear Equations and Problem Solving
- 2.3 Business and Scientific Problems
- 2.4 Linear Inequalities
- 2.5 Absolute Value Equations and Inequalities

- 3.1 The Rectangular Coordinate System
- 3.2 Graphs of Equations
- 3.3 Slope and Graphs of Linear Equations
- 3.4 Equations of Lines
- 3.5 Graphs of Linear Inequalities
- 3.6 Relations and Functions
- 3.7 Graphs of Functions

- 4.1 Systems of Equations
- 4.2 Linear Systems in Two Variables
- 4.3 Linear Systems in Three Variables
- 4.4 Matrices and Linear Systems
- 4.5 Determinants and Linear Systems
- 4.6 Systems of Linear Inequalities

- 5.1 Integer Exponents and Scientific Notation
- 5.2 Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials
- 5.4 Factoring by Grouping and Special Forms
- 5.5 Factoring Trinomials
- 5.6 Solving Polynomial Equations by Factoring

- 6.1 Rational Expressions and Functions
- 6.2 Multiplying and Dividing Rational Expressions
- 6.3 Adding and Subtracting Rational Expressions
- 6.4 Complex Fractions
- 6.5 Dividing Polynomials and Synthetic Division
- 6.6 Solving Rational Equations
- 6.7 Applications and Variation

- 7.1 Radicals and Rational Exponents
- 7.2 Simplifying Radical Expressions
- 7.3 Adding and Subtracting Radical Expressions
- 7.4 Multiplying and Dividing Radical Expressions
- 7.5 Radical Equations and Applications
- 7.6 Complex Numbers

- 8.1 Solving Quadratic Equations: Factoring and Special Forms
- 8.2 Completing the Square
- 8.3 The Quadratic Formula
- 8.4 Graphs of Quadratic Functions
- 8.5 Applications of Quadratic Equations
- 8.6 Quadratic and Rational Inequalities

- 9.1 Exponential Functions
- 9.2 Composite and Inverse Functions
- 9.3 Logarithmic Functions
- 9.4 Properties of Logarithms
- 9.5 Solving Exponential and Logarithmic Equations
- 9.6 Applications

- 10.1 Circles and Parabolas
- 10.2 Ellipses
- 10.3 Hyperbolas
- 10.4 Solving Nonlinear Systems of Equations

- 11.1 Sequences and Series
- 11.2 Arithmetic Sequences
- 11.3 Geometric Sequences and Series
- 11.4 The Binomial Theorem