Chapter 1 Real Numbers, Algebraic Expressions, and Equations
1.1 Tips for Success in Mathematics
1.2 Algebraic Expressions and Sets of Numbers
1.3 Operations on Real Numbers
1.4 Properties of Real Numbers
Integrated Review - Algebraic Expressions, Operations on Real Numbers, and Properties
1.5 Solving Linear Equations Algebraically
1.6 An Introduction to Problem Solving
1.7 A Numerical Approach: Modeling with Tables
1.8 Formulas and Problem Solving
Chapter 2 Graphs and Functions
2.1 Graphing Equations
2.2 Introduction to Functions
2.3 Graphing Linear Functions
2.4 The Slope of a Line
2.5 Equations of Lines
Integrated Review - Linear Equations in Two Variables
2.6 Interpreting Data: Linear Models
2.7 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
Chapter 3 Equations and Inequalities
3.1 Solving Linear Equations Graphically
3.2 Linear Inequalities and Problem Solving
Integrated Review - Linear Equations and Inequalities
3.3 Compound Inequalities
3.4 Absolute Value Equations
3.5 Absolute Value Inequalities
3.6 Graphing Linear Inequalities in Two Variables
Chapter 4 Systems of Linear Equations and Inequalities
4.1Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Systems of Linear Equations and Problem Solving
Integrated Review - Systems of Linear Equations
4.4 Solving Systems of Equations by Matrices
4.5 Systems of Linear Inequalities
Chapter 5 Exponents, Polynomials, and Polynomial Functions
5.1 Exponents and Scientific Notation
5.2 More Work with Exponents and Scientific Notation
5.3 Polynomials and Polynomial Functions
5.4 Multiplying Polynomials
5.5 The Greatest Common Factor and Factoring by Grouping
5.6 Factoring Trinomials
5.7 Factoring by Special Products
Integrated Review - Operations on Polynomials and Factoring Strategies
5.8 Solving Equations by Factoring and Problem Solving
Chapter 6 Rational Expressions
6.1 Rational Functions and Multiplying and Dividing Rational Expressions
6.2 Adding and Subtracting Rational Expressions
6.3 Simplifying Complex Fractions
6.4 Dividing Polynomials: Long Divisions and Synthetic Division
6.5 Solving Equations Containing Rational Expressions
Integrated Review - Expressions and Equations Containing Rational Expressions
6.6 Rational Equations and Problem Solving
6.7 Variation and Problem Solving
Chapter 7 Rational Exponents, Radicals, and Complex Numbers
7.1 Radicals and Radical Functions
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Adding, Subtracting, and Multiplying Radical Expressions
7.5 Rationalizing Denominators and Numerators of Radical Expressions
Integrated Review - Radicals and Rational Exponents
7.6 Radical Equations and Problem Solving
7.7 Complex Numbers
Chapter 8 Quadratic Equations and Functions
8.1 Solving Quadratic Equations by Completing the Square
8.2 Solving Quadratic Equations by the Quadratic Formula
8.3 Solving Equations by Using Quadratic Methods
Integrated Review - Summary on Solving Quadratic Equations
8.4 Nonlinear Inequalities in One Variable
8.5 Quadratic Functions and Their Graphs
8.6 Further Graphing of Quadratic Functions
8.7 Interpreting Data: Linear and Quadratic Models
Chapter 9 Exponential and Logarithmic Functions
9.1 The Algebra of Functions; Composite Functions
9.2 Inverse Functions
9.3 Exponential Functions
9.4 Logarithmic Functions
9.5 Properties of Logarithms
Integrated Review - Functions and Properties of Logarithms
9.6 Common Logarithms, Natural Logarithms, and Change of Base
9.7 Exponential and Logarithmic Equations and Applications
Chapter 10 Conic Sections
10.1 The Parabola and the Circle
10.2 The Ellipse and the Hyperbola
Integrated Review - Graphing Conic Sections
10.3 Solving Nonlinear Systems of Equations
10.4 Nonlinear Inequalities and Systems of Inequalities
Chapter 11 Sequences, Series, and the Binomial Theorem
11.1 Sequences
11.2 Arithmetic and Geometric Sequences
11.3 Series
Integrated Review - Sequences and Series
11.4 Partial Sums of Arithmetic and Geometric Sequences
11.5 The Binomial Theorem
Appendices
A The Bigger Picture/Practice Final Exam
B Geometry
C Stretching and Compressing Graphs of Absolute Value Functions
D Solving Systems of Equations Using Determinants
E Graphing Stat Plots and Regression Equations
