## Summary

Today's Developmental Math students enter college needing more than just the math, and this has directly impacted the instructor's role in the classroom. Instructors have to teach to different learning styles, within multiple teaching environments, and to a student population that is mostly unfamiliar with how to be a successful college student. Authors Andrea Hendricks and Pauline Chow have noticed this growing trend in their combined 30+ years of teaching at their respective community colleges, both in their face-to-face and online courses. As a result, they set out to create course materials that help today's students not only learn the mathematical concepts but also build life skills for future success. Understanding the time constraints for instructors, these authors have worked to integrate success strategies into both the print and digital materials, so that there is no sacrifice of time spent on the math. Furthermore, Andrea and Pauline have taken the time to write purposeful examples and exercises that are student-centered, relevant to today's students, and guide students to practice critical thinking skills. Intermediate Algebraand its supplemental materials, coupled with ALEKS or Connect Math Hosted by ALEKS, allow for both full-time and part-time instructors to teach more than just the math in any teaching environment without an overwhelming amount of preparation time or even classroom time.

## Table of Contents

**Chapter S: Success Strategies**

#### S.1: Time Management and Goal Setting

#### S.2: Learning Styles

#### S.3: Study Skills

#### S.4: Test Taking

#### S.5: Blended and Online Classes

**Chapter 1: Real Numbers and Algebraic Expressions **

#### 1.1: Sets and the Real Numbers

#### 1.2: Operations with Real Numbers and Algebraic Expressions

#### 1.3: Properties of Real Numbers and Simplifying Algebraic Expressions

**Chapter 2: Linear Equations and Inequalities in One Variable**

#### 2.1: Solving Linear Equations

#### 2.2: Introduction to Applications

#### 2.3: Formulas and Applications

#### 2.4: Linear Inequalities and Applications

#### 2.5: Compound Inequalities

#### 2.6: Absolute Value Equations

#### 2.7: Absolute Value Inequalities

**Chapter 3: Graphs, Relations, and Functions**

#### 3.1: The Coordinate System, Graphing Equations, and the Midpoint Formula

#### 3.2: Relations

#### 3.3: Functions

#### 3.4: The Domain and Range of Functions

**Chapter 4: Linear Functions and Linear Inequalities in Two Variables**

#### 4.1: Linear Functions and Equations in Two Variables

#### 4.2: Graphing Linear Equations and Linear Functions

#### 4.3: The Slope of a Line

#### 4.4: Writing Equations of Lines

#### 4.5: Linear Inequalities in Two Variables

**Chapter 5: Systems of Linear Equations and Inequalities**

#### 5.1: Solving Systems of Linear Equations in Two Variables Graphically

#### 5.2: Solving Systems of Linear Equations in Two Variables Algebraically

#### 5.3: Applications of Linear Systems in Two Variables

#### 5.4: Solving Linear Systems in Three Variables and Their Applications

#### 5.5: Solving Systems of Linear Inequalities and Their Applications

**Chapter 6: Exponents, Polynomials and Polynomials Functions**

#### 6.1: Rules of Exponents and Zero and Negative Exponents

#### 6.2: More Rules of Exponents and Scientific Notation

#### 6.3: Polynomials, Polynomial Functions and Their Basic Graphs

#### 6.4: Adding, Subtracting, and Multiplying Polynomials and Polynomial Functions

#### 6.5: Factoring using the Greatest Common Factor and Grouping

#### 6.6: Factoring Trinomials

#### 6.7: Factoring Binomials and Factoring Review

#### 6.8: Solving Polynomial Equations by Factoring and Applications

**Chapter 7: Rational Expressions, Functions and Equations**

#### 7.1: Rational Functions; Multiplying and Dividing Rational Expressions

#### 7.2: More Division of Polynomials: Long Division and Synthetic Division

#### 7.3: Adding and Subtracting Rational Expressions

#### 7.4: Simplifying Complex Fractions

#### 7.5: Solving Rational Equations

#### 7.6: Applications of Rational Equations

#### 7.7: Variation and Applications

**Chapter 8: Rational Exponents, Radicals, and Complex Numbers**

#### 8.1: Radicals and Radical Functions

#### 8.2: Rational Exponents

#### 8.3: Simplifying Radical Expressions

#### 8.4: Adding, Subtracting, and Multiplying Radical Expressions

#### 8.5: Dividing Radicals and Rationalizing

#### 8.6: Radical Equations and their Applications

#### 8.7: Complex Numbers

**Chapter 9: Quadratic Equations and Functions and Nonlinear Inequalities**

#### 9.1: Quadratic Functions and their Graphs

#### 9.2: Solving Quadratic Equations by the Square Root Property and Completing the Square

#### 9.3: Solving Quadratic Equations by the Quadratic Formula

#### 9.4: Solving Equations by Using Quadratic Methods

#### 9.5: More on Graphing Quadratic Functions

#### 9.6: Solving Polynomial and Rational Inequalities in One Variable

**Chapter 10: Exponential and Logarithmic Functions**

#### 10.1: Operations and Composition of Functions

#### 10.2: Inverse Functions

#### 10.3: Exponential Functions

#### 10.4: Logarithmic Functions

#### 10.5: Properties of Logarithms

#### 10.6: The Common Log, Natural Log, and Change of Base Formula

#### 10.7: Exponential and Logarithmic Equations and Applications

**Chapter 11: Conic Sections and Nonlinear Systems**

#### 11.1: The Parabola and the Circle

#### 11.2: The Ellipse and the Hyperbola

#### 11.3: Solving Nonlinear Systems of Equations

#### 11.4: Solving Nonlinear Inequalities and Systems of Inequalities

**Chapter 12: Sequences, Series, and the Binomial Theorem**

#### 12.1: Sequences

#### 12.2: Arithmetic Sequences and Series

#### 12.3: Geometric Sequences and Series

#### 12.4: The Binomial Theorem