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Table of Contents:
Table of Contents
Chapter 1 – Operations on Real Numbers and Algebraic Expressions
1.1 Success in Mathematics
1.2 The Number Systems and the Real Number Line
1.3 Adding, Subtracting, Multiplying, and Dividing Integers
1.4 Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals
1.5 Properties of Real Numbers
1.6 Exponents and the Order of Operations
1.7 Simplifying Algebraic Expressions
Chapter 2-Equations and Inequalities in One Variable
2.1 Linear Equations: The Addition and Multiplication Properties of Equality
2.2 Linear Equations: Using the Properties Together
2.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
2.4 Evaluating Formulas and Solving Formulas for a Variable
2.5 Introduction to Problem Solving: Direct Translation Problems
2.6 Problem Solving: Direct Translation Problems Involving Percent
2.7 Problem Solving: Geometry and Uniform Motion
2.8 Solving Inequalities in One Variable
Chapter 3 – Introduction to Graphing and Equations of Lines
3.1 The Rectangular Coordinate System and Equations in Two Variables
3.2 Graphing Equations in Two Variables
3.3 Slope
3.4 Slope-Intercept Form of a Line
3.5 Point-Slope Form of a Line
3.6 Parallel and Perpendicular Lines
3.7 Variation
3.8 Linear Inequalities in Two Variables
Chapter 4 – Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations in Two Variables by Graphing
4.2 Solving Systems of Linear Equations in Two Variables Using Substitution
4.3 Solving Systems of Linear Equations in Two Variables Using Elimination
4.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations in Two Variables
4.5 Solving Mixture Problems Using Systems of Linear Equations in Two Variables
4.6 Systems of Linear Inequalities
Chapter 5 – Polynomials
5.1 Adding and Subtracting Polynomials
5.2 Multiplying Monomials: The Product and Power Rules
5.3 Multiplying Polynomials
5.4 Dividing Monomials: The Quotient Rule and Integer Exponents
5.5 Dividing Polynomials
5.6 Applying Exponent Rules: Scientific Notation
Chapter 6 - Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x2 + bx + c
6.3 Factoring Trinomials of the Form ax2 + bx + c, a ? 1
6.4 Factoring Special Products
6.5 Summary of Factoring Techniques
6.6 Solving Polynomial Equations by Factoring
6.7 Modeling and Solving Problems with Quadratic Equations
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 with Like Denominators
7.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions
7.5 Adding and Subtracting Rational Expressions with Unlike Denominators
7.6 Complex Rational Expressions
7.7 Rational Equations
7.8 Models Involving Rational Expressions
Chapter 8– Graphs, Relations, and Functions
8.1 A Review of Graphs of Equations
8.2 Relations
8.3 An Introduction to Functions
8.4 Functions and Their Graphs
8.5 Linear Functions
8.6 Compound Inequalities
8.7 Absolute Value Equations and Inequalities
Chapter 9- Radicals and Rational Exponents
9.1 Square Roots
9.2 nth Roots andRational Exponents
9.3 Simplify Expressions Using the Laws of Exponents
9.4 Simplifying Radical Expressions
9.5 Adding, Subtracting, and Multiplying Radical Expressions
9.6 Rationalizing Radical Expressions
9.7 Functions Involving Radicals
9.8 Radical Equations and Their Applications
9.9 The Complex Number System
Chapter 10- Quadratic Equations and Functions
10.1 Solving Quadratic Equations by Completing the Square
10.2 Solving Quadratic Equations by the Quadratic Formula
10.3 Solving Equations Quadratic in Form
10.4 Graphing Quadratic Functions Using Transformations
10.5 Graphing Quadratic Functions Using Properties
10.6 Quadratic Inequalities
10.7 Rational Inequalities
Chapter 11- Exponential and Logarithmic Functions
11.1 Composite Functions and Inverse Functions
11.2 Exponential Functions
11.3 Logarithmic Functions
11.4 Properties of Logarithms
11.5 Exponential and Logarithmic Equations
Chapter 12- Conics
12.1 Distance and Midpoint Formulas
12.2 Circles
12.3 Parabolas
12.4 Ellipses
12.5 Hyperbolas
12.6 Nonlinear Systems of Equations
Chapter 13- Sequences, Series, and The Binomial Theorem
13.1 Sequences
13.2 Arithmetic Sequences
13.3 Geometric Sequences and Series
13.4 The Binomial Theorem
Appendix A: Review of Fractions, Decimals, and Percents
Appendix B: Division of Polynomials; Synthetic Division
Appendix C: The Library of Functions
Appendix D: Geometry
Appendix E: More on Systems of Equations
