### 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 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: The Set of Real Numbers
1.2: Fractions Review
1.3: The Order of Operations, Algebraic Expressions and Equations
1.4: Addition of Real Numbers
1.5: Subtraction of Real Numbers
1.6: Multiplication and Division of Real Numbers
1.7: Properties of Real Numbers
1.8: Algebraic Expressions
**Chapter 2: Linear Equations & Inequalities in One Variable**
2.1: Equations and Their Solutions
2.2: The Addition Property of Equality
2.3: The Multiplication Property of Equality
2.4: More on Solving Linear Equations
2.5: Formulas and Applications from Geometry
2.6: Percent, Rate, and Mixture Problems
2.7: Linear Inequalities in One Variable
**Chapter 3: Linear Equations in Two Variables**
3.1: Equations and the Rectangular Coordinate System
3.2: Graphing Linear Equations
3.3: The Slope of a Line
3.4: More about Slope
3.5: Writing Equations of Lines
3.6: Functions
**Chapter 4: Systems of Linear Equations in Two and Three Variables**
4.1: Solving Systems of Linear Equations Graphically
4.2: Solving Systems of Linear Equations by Substitution
4.3: Solving Systems of Linear Equations by Elimination
4.4: 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 Exponents
5.2: More Rules of Exponents and Scientific Notation
5.3: Polynomial Functions, Addition and Subtraction of Polynomials
5.4: Multiplication of Polynomials and Polynomial Functions
5.5: Special Products
5.6: Division of Polynomials
5.7: Synthetic Division and the Remainder Theorem
**Chapter 6: Factoring Polynomials and Polynomial Equations**
6.1: Greatest Common Factor and Grouping
6.2: Factoring Trinomials
6.3: More on Factoring Trinomials
6.4: Factoring Binomials
6.5: Solving Quadratic Equations and Other Polynomial Equations by Factoring
6.6: Applications of Quadratic Equations
**Chapter 7: Rational Functions and Equations**
7.1: Rational Functions and Simplifying Rational Expressions
7.2: Multiplication and Division of Rational Expressions
7.3: Least Common Denominator and Equivalent Fractions
7.4: Addition and Subtraction of Rational Expressions
7.5: Complex Fractions
7.6: Solving Rational Equations
7.7: Proportions and Other Applications of Rational Equations
**Chapter 8: More on Functions and Graphs; Variation**
8.1: The Domain and Range of Functions
8.2: Graphing and Writing Linear Functions
8.3: Graphing Nonlinear Functions and Piecewise Defined Functions
8.4: Variation and Applications
**Chapter 9: Inequalities and Absolute Value**
9.1: Compound Inequalities
9.2: Absolute Value Equations
9.3: Absolute Value Inequalities
9.4: Linear Inequalities in Two Variables and Systems of Linear Inequalities
**Chapter 10: Rational Exponents, Radicals, and Complex Numbers**
10.1: Radicals and Radical Functions
10.2: Rational Exponents
10.3: Simplifying Radical Expressions
10.4: Adding, Subtracting, and Multiplying Radical Expressions
10.5: Dividing Radicals and Rationalizing
10.6: Radical Equations and their Applications
10.7: Complex Numbers
**Chapter 11: Quadratic Equations and Functions**
11.1: Quadratic Functions and their Graphs
11.2: Solving Quadratic Equations by the Square Root Property and Completing the Square
11.3: Solving Quadratic Equations by the Quadratic Formula
11.4: Solving Equations by Using Quadratic Methods
11.5: More on Graphing Quadratic Functions
11.6: Solving Quadratic and Rational Inequalities in One Variable
**Chapter 12: Exponential and Logarithmic Functions**
12.1: Operations and Composition of Functions
12.2: Inverse Functions
12.3: Exponential Functions
12.4: Logarithmic Functions
12.5: Properties of Logarithms
12.6: The Common Log, Natural Log, and Change of Base Formula
12.7: Exponential and Logarithmic Equations and Applications
**Chapter 13: Conic Sections and Nonlinear Systems**
13.1: The Parabola and the Circle
13.2: The Ellipse and the Hyperbola
13.3: Solving Nonlinear Systems of Equations
13.4: Solving Nonlinear Inequalities and Systems of Inequalities
**Chapter 14: Sequences, Series, and the Binomial Theorem**
14.1: Sequences
14.2: Arithmetic Sequences and Series
14.3: Geometric Sequences and Series
14.4: The Binomial Theorem