### 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 and Intermediate 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: Success Strategies**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 Numbers1.5: Subtraction of Real Numbers1.6: Multiplication and Division of Real Numbers1.7: Properties of Real Numbers1.8: Algebraic Expressions**Chapter 2: Linear Equations & 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 Equations2.5: Formulas and Applications from Geometry2.6: Percent, Rate, and Mixture Problems2.7: Linear Inequalities in One Variable**Chapter 3: Linear Equations in Two Variables**3.1: Equations and the Rectangular Coordinate System3.2: Graphing Linear Equations3.3: The Slope of a Line3.4: More about Slope3.5: Writing Equations of Lines3.6: Functions**Chapter 4: Systems of Linear Equations in Two and Three Variables**4.1: Solving Systems of Linear Equations Graphically4.2: Solving Systems of Linear Equations by Substitution4.3: Solving Systems of Linear Equations by Elimination4.4: Applications of Systems of Linear Equations in Two Variables 4.5: Solving Systems of Linear Equations in Three Variables and Their Applications **Chapter 5: Exponents, Polynomials, and Polynomial Functions**5.1: Rules of Exponents and Zero and Negative Exponents5.2: More Rules of Exponents and Scientific Notation5.3: Polynomial Functions, Addition and Subtraction of Polynomials5.4: Multiplication of Polynomials and Polynomial Functions5.5: Special Products5.6: Division of Polynomials5.7: Synthetic Division and the Remainder Theorem**Chapter 6: Factoring Polynomials and Polynomial Equations**6.1: Greatest Common Factor and Grouping6.2: Factoring Trinomials6.3: More on Factoring Trinomials6.4: Factoring Binomials6.5: Solving Quadratic Equations and Other Polynomial Equations by Factoring6.6: Applications of Quadratic Equations**Chapter 7: Rational Functions and Equations**7.1: Rational Functions and Simplifying Rational Expressions7.2: Multiplication and Division of Rational Expressions7.3: Least Common Denominator and Equivalent Fractions7.4: Addition and Subtraction of Rational Expressions7.5: Complex Fractions7.6: Solving Rational Equations7.7: Proportions and Other Applications of Rational Equations**Chapter 8: More on Functions and Graphs; Variation**8.1: The Domain and Range of Functions8.2: Graphing and Writing Linear Functions8.3: Graphing Nonlinear Functions and Piecewise Defined Functions8.4: Variation and Applications**Chapter 9: Inequalities and Absolute Value**9.1: Compound Inequalities9.2: Absolute Value Equations9.3: Absolute Value Inequalities9.4: Linear Inequalities in Two Variables and Systems of Linear Inequalities**Chapter 10: Rational Exponents, Radicals, and Complex Numbers**10.1: Radicals and Radical Functions10.2: Rational Exponents10.3: Simplifying Radical Expressions10.4: Adding, Subtracting, and Multiplying Radical Expressions10.5: Dividing Radicals and Rationalizing10.6: Radical Equations and their Applications10.7: Complex Numbers**Chapter 11: Quadratic Equations and Functions**11.1: Quadratic Functions and their Graphs11.2: Solving Quadratic Equations by the Square Root Property and Completing the Square11.3: Solving Quadratic Equations by the Quadratic Formula11.4: Solving Equations by Using Quadratic Methods11.5: More on Graphing Quadratic Functions11.6: Solving Quadratic and Rational Inequalities in One Variable**Chapter 12: Exponential and Logarithmic Functions**12.1: Operations and Composition of Functions12.2: Inverse Functions12.3: Exponential Functions12.4: Logarithmic Functions12.5: Properties of Logarithms12.6: The Common Log, Natural Log, and Change of Base Formula12.7: Exponential and Logarithmic Equations and Applications**Chapter 13: Conic Sections and Nonlinear Systems**13.1: The Parabola and the Circle13.2: The Ellipse and the Hyperbola13.3: Solving Nonlinear Systems of Equations13.4: Solving Nonlinear Inequalities and Systems of Inequalities**Chapter 14: Sequences, Series, and the Binomial Theorem**14.1: Sequences14.2: Arithmetic Sequences and Series14.3: Geometric Sequences and Series14.4: The Binomial Theorem