### Overview

### Main description

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. *Beginning Algebra* and 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: Strategies to Succeed in Math**S.1 Time Management and Goal SettingS.2 Learning StylesS.3 Study SkillsS.4 Test TakingS.5 Blended and Online Classes**Chapter 1: Real Numbers and Algebraic Expressions**1.1: The Set of Real Numbers1.2: Fractions Review1.3: The Order of Operations, Algebraic Expressions, and Equations1.4: Addition of Real Numbers Piece it Together 1.1-1.41.5: Subtraction of Real Numbers1.6: Multiplication and Division of Real Numbers1.7: Properties of Real Numbers1.8: Algebraic Expressions Chapter 1 Group Activity Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test Chapter 1 Cumulative Review**Chapter 2: Linear Equations and Inequalities in One Variable**2.1: Equations and Their Solutions2.2: The Addition Property of Equality2.3: The Multiplication Property of Equality2.4: More on Solving Linear Equations Piece it Together 2.1-2.42.5: Formulas and Applications from Geometry2.6: Percent, Rate, and Mixture Problems2.7: Linear Inequalities in One Variable Chapter 2 Group Activity Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Chapter 1-2 Cumulative Review**Chapter 3: Linear Equations in Two Variables**3.1: Equations and the Rectangular Coordinate System3.2: Graphing Linear Equations3.3: The Slope of a Line Piece it Together 3.1-3.33.4: More about Slope3.5: Writing Equations of Lines3.6: Functions Chapter 3 Group Activity Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Chapter 1-3 Cumulative Review**Chapter 4: Systems of Linear Equations and Inequalities in Two Variables**4.1: Solving Systems of Linear Equations Graphically4.2: Solving Systems of Linear Equations by Substitution4.3: Solving Systems of Linear Equations by Elimination Piece it Together 4.1-4.34.4: Applications of Systems of Linear Equations4.5: Linear Inequalities in Two Variables4.6: Systems of Linear Inequalities in Two Variables Chapter 4 Group Activity Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Chapter 1-4 Cumulative Review**Chapter 5: Laws of Exponents and Polynomial Operations**5.1: The Product and Power Rule for Exponents5.2: The Quotient Rule and Zero and Negative Exponents5.3: Scientific Notation5.4: Addition and Subtraction of Polynomials Piece it Together 5.1-5.45.5: Multiplication of Polynomials5.6: Special Products5.7: Division of Polynomials Chapter 5 Group Activity Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Chapter 1-5 Cumulative Review**Chapter 6: Factoring Polynomials and Polynomial Equations**6.1: Greatest Common Factor and Grouping6.2: Factoring Trinomials6.3: More on Factoring Trinomials Piece it Together 6.1-6.36.4: Factoring Binomials6.5: Solving Quadratic Equations and Other Polynomial Equations by Factoring6.6: Applications of Quadratic Equations Chapter 6 Group Activity Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Chapter 1-6 Cumulative Review**Chapter 7: Rational Expressions and Equations**7.1: Rational Expressions7.2: Multiplication and Division of Rational Expressions7.3: Addition and Subtraction of Rational Expressions with Like Denominators and the Least Common Denominator7.4: Addition and Subtraction of Rational Expressions with Unlike Denominators Piece it Together 7.1-7.47.5: Complex Fractions7.6: Solving Rational Equations7.7: Proportions and Applications of Rational Equations Chapter 7 Group Activity Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Chapter 1-7 Cumulative Review**Chapter 8: Radical Expressions and Equations**8.1: Radical Expressions8.2: Simplifying Radicals and the Distance Formula8.3: Adding and Subtracting Radical Expressions Piece it Together 8.1-8.38.4: Multiplying and Dividing Radical Expressions8.5: Solving Square Root Equations and Applications Involving Square Roots8.6: Rational Exponents Chapter 8 Group Activity Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Chapter 1-8 Cumulative Review**Chapter 9: Quadratic Equations**9.1: Solving Quadratic Equations by the Square Root Property9.2: Solving Quadratic Equations by Completing the Square9.3: Solving Quadratic Equations by the Quadratic Formula Piece it Together 9.1-9.39.4: Complex Numbers and Quadratic Equations with Complex Solutions9.5: Solving Quadratic Equations by Graphical Methods Chapter 9 Group Activity Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Chapter 1-9 Cumulative Review