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Table of Contents Chapter 0 (Zero): The Arithmetic of Signed Numbers
0.1 A Review of Fractions0.2 The Integers0.3 Adding and Subtracting Signed Numbers0.4 Multiplying and Dividing Signed Numbers0.5 Exponents and Order of Operation |
1.1 Transition to Algebra
1.2 Evaluating Algebraic Expressions
1.3 Adding and Subtracting Algebraic Expressions
1.4 Sets
Chapter Two: Equations and Inequalities
2.1 Solving Equations by Adding and Subtracting
2.2 Solving Equations by Multiplying and Dividing
2.3 Combining the Rules to Solve Equations
2.4 Literal Equations and Their Applications
2.5 Solving Linear Inequalities
2.6 Absolute Value Equations and Inequalities
Chapter Three: Graphs and Linear Equations
3.1 Solutions of Equations in Two Variables
3.2 The Cartesian Coordinate System
3.3 The Graph of a Linear Equation
3.4 The Slope of a Line
3.5 Forms of Linear Equations
Chapter Four: A Beginning Look at Functions
4.1 Ordered Pairs and Relations
4.2 An Introduction to Functions
4.3 Identifying Functions
4.4 Reading Values from a Graph
4.5 Operations on Functions
Chapter Five: Polynomials
5.1 Positive Integer Exponents and Monomials
5.2 An Introduction to Polynomials
5.3 Polynomials: Addition and Subtraction
5.4 Multiplication of Polynomials and Special Products
Chapter Six: Factoring Polynomials
6.1 An Introduction to Factoring
6.2 Factoring Special Polynomials
6.3 Factoring Trinomials: The a.c. method
6.3* Factoring Trinomials: Trial and Error
6.4 Division of Polynomials
6.5 Solving Quadratic Equations by Factoring
Transition: Moving to the Intermediate Algebra Level
Chapter Seven: Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Rational Equations and Inequalities in One Variable
Chapter Eight: Systems of Linear Equations and Inequalities
8.1 Solving Systems of Linear Equations and Inequalities
8.2 Systems of Linear Equations in Two Variables, with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Graphing Linear Inequalities in Two Variables
8.5 Systems of Linear Inequalities in Two Variables
Chapter Nine: Graphical Solutions
9.1 Graphical Solutions to Equations in One Variable
9.2 Graphing Linear Inequalities in One Variable
9.3 Absolute Value Functions
9.4 Absolute Value Inequalities
Chapter Ten: Radicals and Exponents
10.1 Zero and Negative Integer Exponents and Scientific Notation
10.2 Evaluating Radical Expressions
10.3 Rational Exponents
10.4 Complex Numbers
Chapter Eleven: Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities
Chapter Twelve: Conic Sections
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas
Chapter Thirteen: Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
2.1 Solving Equations by Adding and Subtracting
2.2 Solving Equations by Multiplying and Dividing
2.3 Combining the Rules to Solve Equations
2.4 Literal Equations and Their Applications
2.5 Solving Linear Inequalities
2.6 Absolute Value Equations and Inequalities
3.1 Solutions of Equations in Two Variables
3.2 The Cartesian Coordinate System
3.3 The Graph of a Linear Equation
3.4 The Slope of a Line
3.5 Forms of Linear Equations
Chapter Four: A Beginning Look at Functions
4.1 Ordered Pairs and Relations
4.2 An Introduction to Functions
4.3 Identifying Functions
4.4 Reading Values from a Graph
4.5 Operations on Functions
Chapter Five: Polynomials
5.1 Positive Integer Exponents and Monomials
5.2 An Introduction to Polynomials
5.3 Polynomials: Addition and Subtraction
5.4 Multiplication of Polynomials and Special Products
Chapter Six: Factoring Polynomials
6.1 An Introduction to Factoring
6.2 Factoring Special Polynomials
6.3 Factoring Trinomials: The a.c. method
6.3* Factoring Trinomials: Trial and Error
6.4 Division of Polynomials
6.5 Solving Quadratic Equations by Factoring
Transition: Moving to the Intermediate Algebra Level
Chapter Seven: Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Rational Equations and Inequalities in One Variable
Chapter Eight: Systems of Linear Equations and Inequalities
8.1 Solving Systems of Linear Equations and Inequalities
8.2 Systems of Linear Equations in Two Variables, with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Graphing Linear Inequalities in Two Variables
8.5 Systems of Linear Inequalities in Two Variables
Chapter Nine: Graphical Solutions
9.1 Graphical Solutions to Equations in One Variable
9.2 Graphing Linear Inequalities in One Variable
9.3 Absolute Value Functions
9.4 Absolute Value Inequalities
Chapter Ten: Radicals and Exponents
10.1 Zero and Negative Integer Exponents and Scientific Notation
10.2 Evaluating Radical Expressions
10.3 Rational Exponents
10.4 Complex Numbers
Chapter Eleven: Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities
Chapter Twelve: Conic Sections
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas
Chapter Thirteen: Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
4.1 Ordered Pairs and Relations
4.2 An Introduction to Functions
4.3 Identifying Functions
4.4 Reading Values from a Graph
4.5 Operations on Functions
5.1 Positive Integer Exponents and Monomials
5.2 An Introduction to Polynomials
5.3 Polynomials: Addition and Subtraction
5.4 Multiplication of Polynomials and Special Products
Chapter Six: Factoring Polynomials
6.1 An Introduction to Factoring
6.2 Factoring Special Polynomials
6.3 Factoring Trinomials: The a.c. method
6.3* Factoring Trinomials: Trial and Error
6.4 Division of Polynomials
6.5 Solving Quadratic Equations by Factoring
Transition: Moving to the Intermediate Algebra Level
Chapter Seven: Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Rational Equations and Inequalities in One Variable
Chapter Eight: Systems of Linear Equations and Inequalities
8.1 Solving Systems of Linear Equations and Inequalities
8.2 Systems of Linear Equations in Two Variables, with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Graphing Linear Inequalities in Two Variables
8.5 Systems of Linear Inequalities in Two Variables
Chapter Nine: Graphical Solutions
9.1 Graphical Solutions to Equations in One Variable
9.2 Graphing Linear Inequalities in One Variable
9.3 Absolute Value Functions
9.4 Absolute Value Inequalities
Chapter Ten: Radicals and Exponents
10.1 Zero and Negative Integer Exponents and Scientific Notation
10.2 Evaluating Radical Expressions
10.3 Rational Exponents
10.4 Complex Numbers
Chapter Eleven: Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities
Chapter Twelve: Conic Sections
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas
Chapter Thirteen: Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
6.1 An Introduction to Factoring
6.2 Factoring Special Polynomials
6.3 Factoring Trinomials: The a.c. method
6.3* Factoring Trinomials: Trial and Error
6.4 Division of Polynomials
6.5 Solving Quadratic Equations by Factoring
Chapter Seven: Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Rational Equations and Inequalities in One Variable
Chapter Eight: Systems of Linear Equations and Inequalities
8.1 Solving Systems of Linear Equations and Inequalities
8.2 Systems of Linear Equations in Two Variables, with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Graphing Linear Inequalities in Two Variables
8.5 Systems of Linear Inequalities in Two Variables
Chapter Nine: Graphical Solutions
9.1 Graphical Solutions to Equations in One Variable
9.2 Graphing Linear Inequalities in One Variable
9.3 Absolute Value Functions
9.4 Absolute Value Inequalities
Chapter Ten: Radicals and Exponents
10.1 Zero and Negative Integer Exponents and Scientific Notation
10.2 Evaluating Radical Expressions
10.3 Rational Exponents
10.4 Complex Numbers
Chapter Eleven: Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities
Chapter Twelve: Conic Sections
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas
Chapter Thirteen: Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Rational Equations and Inequalities in One Variable
8.1 Solving Systems of Linear Equations and Inequalities
8.2 Systems of Linear Equations in Two Variables, with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Graphing Linear Inequalities in Two Variables
8.5 Systems of Linear Inequalities in Two Variables
Chapter Nine: Graphical Solutions
9.1 Graphical Solutions to Equations in One Variable
9.2 Graphing Linear Inequalities in One Variable
9.3 Absolute Value Functions
9.4 Absolute Value Inequalities
Chapter Ten: Radicals and Exponents
10.1 Zero and Negative Integer Exponents and Scientific Notation
10.2 Evaluating Radical Expressions
10.3 Rational Exponents
10.4 Complex Numbers
Chapter Eleven: Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities
Chapter Twelve: Conic Sections
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas
Chapter Thirteen: Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
9.1 Graphical Solutions to Equations in One Variable
9.2 Graphing Linear Inequalities in One Variable
9.3 Absolute Value Functions
9.4 Absolute Value Inequalities
10.1 Zero and Negative Integer Exponents and Scientific Notation
10.2 Evaluating Radical Expressions
10.3 Rational Exponents
10.4 Complex Numbers
Chapter Eleven: Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities
Chapter Twelve: Conic Sections
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas
Chapter Thirteen: Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas
Chapter Thirteen: Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
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