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Table of Contents:
Chapter 1: The Real Number System
1.1 Fractions
1.2 Exponents, Order of Operations, and Inequality
1.3 Variables, Expressions, and Equations
1.4 Real Numbers and the Number Line
1.5 Adding and Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
Summary Exercises on Operation with Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 2: Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 More on Solving Linear Equations
Summary Exercises on Solving Linear Equations
2.4 An Introduction to Applications of Linear Equations
2.5 Formulas and Applications from Geometry
2.6 Ratios and Proportions
2.7 Further Applications of Linear Equations
2.8 Solving Linear Inequalities
Chapter 3: Linear Equations in Two Variables; Functions
3.1 Reading Graphs; Linear Equations in Two Variables
3.2 Graphing Linear Equations in Two Variables
3.3 The Slope of a Line
3.4 Equations of a Line
Chapter 4: Exponents and Polynomials
4.1 The Product Rule and Power Rules for Exponents
4.2 Integer Exponents and the Quotient Rule
Summary Exercises on the Rules for Exponents
4.3 An Application of Exponents: Scientific Notation
4.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials
4.5 Multiplying Polynomials
4.6 Special Products
4.7 Dividing Polynomials
Chapter 5: Factoring and Applications
5.1 The Greatest Common Factor; Factoring by Grouping
5.2 Factoring Trinomials
5.3 More on Factoring Trinomials
5.4 Special Factoring Techniques
Summary Exercises on Factoring
5.5 Solving Quadratic Equations by Factoring
5.6 Applications of Quadratic Equations
Chapter 6: Rational Expressions and Applications
6.1 The Fundamental Property of Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Least Common Denominators
6.4 Adding and Subtracting Rational Expressions
6.5 Complex Fractions
6.6 Solving Equations With Rational Expressions
Summary Exercises on Rational Expressions and Equations
6.7 Applications of Rational Expressions
Chapter 7: Equations of Lines; Functions
7.1 Review of Graphs and Slopes of Lines
7.2 Review of Equations of Lines; Linear Models
Summary Exercises on Slope and Equations of Lines
7.3 Functions
7.4 Operations on Functions and Composition
7.5 Variation
Chapter 8: Systems of Linear Equations
8.1 Solving Systems of Linear Equations by Graphing
8.2 Solving Systems of Linear Equations by Substitution
8.3 Solving Systems of Linear Equations by Elimination
Summary Exercises on Solving Systems of Linear Equations
8.4 Systems of Linear Equations in Three Variables
8.5 Applications of Systems of Linear Equations
8.6 Solving Systems of Linear Equations by Matrix Methods
Chapter 9: Inequalities and Absolute Value
9.1 Set Operations and Compound Inequalities
9.2 Absolute Value Equations and Inequalities
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
9.3 Linear Inequalities in Two Variables
Chapter 10: Roots, Radicals, and Root Functions
10.1 Radical Expressions and Graphs
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Adding and Subtracting Radical Expressions
10.5 Multiplying and Dividing Radical Expressions
Summary Exercises on Operations with Radicals and Rational Exponents
10.6 Solving Equations with Radicals
10.7 Complex Numbers
Chapter 11: Quadratic Equations, Inequalities, and Functions
11.1 Solving Quadratic Equations by the Square Root Property
11.2 Solving Quadratic Equations by Completing the Square
11.3 Solving Quadratic Equations by the Quadratic Formula
11.4 Equations Quadratic in Form
Summary Exercises on Solving Quadratic Equations
11.5 Formulas and Further Applications
11.6 Graphs of Quadratic Functions
11.7 More about Parabolas and Their Applications
11.8 Quadratic and Rational Inequalities
Chapter 12: Inverse, Exponential, and Logarithmic Functions
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithms
12.5 Common and Natural Logarithms
12.6 Exponential and Logarithmic Equations; Further Applications
Chapter 13: Nonlinear Functions, Conic Sections, and Nonlinear Systems
13.1 Additional Graphs of Functions
13.2 The Circle and the Ellipse
13.3 The Hyperbola and Functions Defined by Radicals
13.4 Nonlinear Systems of Equations
13.5 Second-Degree Inequalities and Systems of Inequalities
Chapter 14: Sequences and Series
14.1 Sequences and Series
14.2 Arithmetic Sequences
14.3 Geometric Sequences
14.4 The Binomial Theorem
Appendixes
A. An Introduction to Calculators
B. Review of Decimals and Percents
C. Sets
D. Mean, Median, and Mode
E. The Metric System and Conversions
F. Review of Exponents, Polynomials, and Factoring
G. Synthetic Division
H. Determinants and Cramer's Rule
