Table of Contents
Chapter 1 – THE REAL NUMBER SYSTEM
- 1.1 Real Numbers: Order and Absolute Value
- 1.2 Adding and Subtracting Integers
- 1.3 Multiplying and Dividing Integers
- 1.4 Operations with Rational Numbers
- 1.5 Exponents, Order of Operations, and Properties of Real Numbers
Chapter 2 – FUNDAMENTALS OF ALGEBRA
- 2.1 Writing and Evaluating Algebraic Expressions
- 2.2 Simplifying Algebraic Expressions
- 2.3 Algebra and Problem Solving
- 2.4 Introduction to Equations
Chapter 3 – LINEAR EQUATIONS AND PROBLEM SOLVING
- 3.1 Solving Linear Equations
- 3.2 Equations that Reduce to Linear Form
- 3.3 Problem Solving with Percents
- 3.4 Ratios and Proportions
- 3.5 Geometric and Scientific Applications
- 3.6 Linear Inequalities
Chapter 4 – EQUATIONS AND INEQUALITIES IN TWO VARIABLES
- 4.1 Ordered Pairs and Graphs
- 4.2 Graphs of Equations in Two Variables
- 4.3 Slope and Graphs of Linear Equations
- 4.4 Equations of Lines
- 4.5 Graphs of Linear Inequalities
Chapter 5 – EXPONENTS AND POLYNOMIALS
- 5.1 Negative Exponents and Scientific Notation
- 5.2 Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials: Special Products
- 5.4 Dividing Polynomials
Chapter 6 – FACTORING AND SOLVING EQUATIONS
- 6.1 Factoring Polynomials with Common Factors
- 6.2 Factoring Trinomials
- 6.3 More About Factoring Trinomials
- 6.4 Factoring Polynomials with Special Forms
- 6.5 Solving Quadratic Equations by Factoring
Chapter 7 – RATIONAL EXPRESSIONS AND EQUATIONS
- 7.1 Simplifying Rational Expressions
- 7.2 Multiplying and Dividing Rational Expressions
- 7.3 Adding and Subtracting Rational Expressions
- 7.4 Complex Fractions
- 7.5 Rational Equations and Applications
Chapter 8 – SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
- 8.1 Solving Systems of Equations by Graphing
- 8.2 Solving Systems of Equations by Substitution
- 8.3 Solving Systems of Equations by Elimination
- 8.4 Applications of Systems of Linear Equations
- 8.5 Systems of Linear Inequalities
Chapter 9 – RADICAL EXPRESSIONS AND EQUATIONS
- 9.1 Roots and Radicals
- 9.2 Simplifying Radicals
- 9.3 Operations with Radical Expressions
- 9.4 Radical Equations and Applications
Chapter 10 – QUADRATIC EQUATIONS AND FUNCTIONS
- 10.1 Solution by the Square Root Property
- 10.2 Solution by Completing the Square
- 10.3 Solution by the Quadratic Formula
- 10.4 Graphing Quadratic Equations
- 10.5 Applications of Quadratic Equations
- 10.6 Complex Numbers
- 10.7 Relations, Functions, and Graphs
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