Intermediate Algebra, 3rd Edition

R Review of Basic Algebraic Concepts

R.1 Study Skills
Group Activity: Becoming a Successful Student
R.2 Sets of Numbers and Interval Notation
R.3 Operations on Real Numbers
R.4 Simplifying Expressions

1 Linear Equations and Inequalities in One Variable

1.1 Linear Equations in One Variable
PRE: Equations versus Expressions
1.2 Application of Linear Equations in One Variable
1.3 Applications to Geometry and Literal Equations
1.4 Linear Inequalities in One Variable
1.5 Compound Inequalities
1.6 Absolute Value Equations
1.7 Absolute Value Inequalities
PRE: Identifying Equations and Inequalities Group Activity: Understanding the Symbolism of Mathematics

2 Linear Equations in Two Variables

2.1 Linear Equations in Two Variables
2.2 Slope of a Line and Rate of Change
2.3 Equations of a Line
PRE: Characteristics of Linear Equations
2.4 Application of Linear Equations and Modeling
Group Activity: Using Linear Equations to Construct Images

3 Relations and Functions

3.1 Relations and Applications
3.2 Introduction to Functions
3.3 Graphs of Basic Functions
PRE: Characteristics of Relations
3.4 Algebra of Functions, Composition, and Applications Group Activity: Deciphering a Coded Message

4 Systems of Linear Equations

4.1 Solving Systems of Linear Equations by the Graphing Method
4.2 Solving Systems of Linear Equations by Using the Substitution Method
4.3 Solving Systems of Linear Equations by Using the Addition Method
PRE: Solving Systems of Linear Equations
4.4 Applications of Systems of Linear Equations in Two Variables
4.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables
4.6 Systems of Linear Equations in Three Variables and Applications
4.7 Solving Systems of Linear Equations by Using Matrices
Group Activity: Creating a Quadratic Model of the Form y = at^2 +bt + c

5 Polynomials

5.1 Properties of Integer Exponents and Scientific Notation
5.2 Addition and Subtraction of Polynomials and Polynomial Functions
5.3 Multiplication of Polynomials
5.4 Division of Polynomaisl
PRE: Operations on Polynomials
5.5 Greatest Common Factor and Factoring by Grouping
5.6 Factoring Trinomials and Perfect Square Trinomials
5.7 Factoring Binomials Including Sum and Difference of Cubes
PRE: Factoring Summary
5.8 Solving Equations and Applications by Factoring Group Activity: Investigating Pascal's Triangle

6 Rational Expressions and Rational Equations

6.1 Rational Expressions and Rational Functions
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Complex Fractions
PRE: Operations on Rational Expressions
6.5 Solving Rational Equations
PRE: Rational Equations versus Expressions
6.6 Applications of Rational Equations and Proportions
6.7 Variation
Group Activity: Computing the Future Value of an Investment

7 Radicals and Complex Numbers

7.1 Definition of an nth-Root
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Addition and Subtraction of Radicals
7.5 Multiplication of Radicals
PRE: Simplifying Radical Expressions
7.6 Division of Radicals and Rationalisation
7.7 Radical Equations and Applications
7.8 Complex Numbers
Group Activity: Margin of Error of Survey Results

8 Quadratic Equations, Functions, and Inequalities

8.1 Square Root Property and Completing the Square
8.2 Quadratic Formula and Applications
8.3 Equations in Quadratic Form
PRE: Equations in Quadratic Form
8.4 Graphs of Quadratic Functions
8.5 Vertex of a Parabola: Applications and Modeling
8.6 Polynomials and Rational Inequalities
PRE: Recognizing Equations and Inequalities
Group Activity: Creating a Quadratic Model of the Form y = a(x - h)^2 + k

9 Exponential and Logarithmic Functions

9.1 Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
PRE: Identifying Graphs of Functions
9.4 Properties of Logarithms
9.5 The Irrational Number e
PRE: Logarithmic and Exponential Forms
9.6 Exponential Equations and Applications
9.7 Logarithmic Equations and Applications
Group Activity: Creating a Population Model

10 Conic Sections

10.1 Distance Formula, Midpoint, and Circles
10.2 More of the Parabola
10.3 The Ellipse and Hyperbola
PRE: Formulas for Conic Sections
10.4 Nonlinear Systems of Equations in Two Variables
10.5 Nonlinear Inequalities and Systems of Inequalities
Group Activity: Investigating the Graphs of Conic Sections on a Calculator

Additional Topics Appendix

A.1 Binomial Expansions
A.2 Determinants and Cramer's Rule
A.3 Sequences and Series
A.4 Arithmetic and Geometric Sequences and Series