## Overview

**This package contains the MyMathLab Access Kit and the Guided Notebook.**

**Beginning**** & Intermediate Algebra** by Trigsted, Bodden, and Gallaher is the first online, completely “clickable” Beginning & Intermediate Algebra text to take full advantage of MyMathLab’s features and benefits. Kirk Trigsted saw marked improvements in student learning when he started teaching with MyMathLab, but he noticed that most students started their assignments by going directly to the MyMathLab homework exercises without consulting their textbook. This inspired Kirk to write a true eText, built within MyMathLab, to create a dynamic, seamless learning experience that would better meet the needs and expectations of his students. Completely clickable and fully integrated–the Trigsted eText is designed for today’s learners.

**Beginning & Intermediate Algebra** is also available with two printed resources to provide additional support for your classroom:

- The
**eText Reference**is a spiral-bound, printed version of the eText that provides a place for students to do practice work and summarize key concepts from the online videos and animations. In addition to the benefits it provides students, the eText Reference also provides portability for those instructors that prefer a printed text for class preparation. - The
**Guided Notebook**is an interactive workbook that guides students through the course by asking them to write down key definitions and work through important examples for each section of the eText. This resource is available in a three-hole-punched, unbound format to provide the foundation for a personalized course notebook. Students can integrate their class notes and homework notes within the appropriate section of the Guided Notebook. Instructors can customize the Guided Notebook files found within MyMathLab.

## Table of contents

**R. Review**

R.1 Operations on Fractions

R.2 Decimals and Percents

**1. Real Numbers and Algebraic Expressions**

1.1 The Real Number System

1.2 Adding and Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents and Order of Operations

1.5 Variables and Properties of Real Numbers

1.6 Simplifying Algebraic Expressions

**2. Linear Equations and Inequalities in One Variable**

2.1 The Addition and Multiplication Properties of Equality

2.2 Solving Linear Equations in One Variable

2.3 Introduction to Problem Solving

2.4 Formulas

2.5 Geometry and Uniform Motion Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Linear Inequalities in One Variable

2.8 Compound Inequalities; Absolute Value Equations and Inequalities

**3. Graphs of Linear Equations and Inequalities in Two Variables**

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations in Two Variables

3.3 Slope

3.4 Equations of Lines

3.5 Linear Inequalities in Two Variables

**4. Systems of Linear Equations and Inequalities**

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Elimination

4.4 Applications of Linear Systems

4.5 Systems of Linear Inequalities

4.6 Systems of Linear Equations in Three Variables

**5. Exponents and Polynomials**

5.1 Exponents

5.2 Introduction to Polynomials

5.3 Adding and Subtracting Polynomials

5.4 Multiplying Polynomials

5.5 Special Products

5.6 Negative Exponents and Scientific Notation

5.7 Dividing Polynomials

5.8 Polynomials in Several Variables

**6. Factoring Polynomials**

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form *x*^{2} + *bx* + *c*

6.3 Factoring Trinomials of the Form *ax*^{2} + *bx* + *c* Using Trial and Error

6.4 Factoring Trinomials of the Form *ax*^{2} + *bx* + *c* Using the *ac* Method

6.5 Factoring Special Forms

6.6 A General Factoring Strategy

6.7 Solving Polynomial Equations by Factoring

6.8 Applications of Quadratic Equations

**7. Rational Expressions and Equations**

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Rational Expressions

7.6 Solving Rational Equations

7.7 Applications of Rational Equations

7.8 Variation

**8. Introduction to Functions**

8.1 Relations and Functions

8.2 Function Notation and the Algebra of Functions

8.3 Graphs of Functions and Their Applications

**9. Radicals and Rational Exponents**

9.1 Radical Expressions

9.2 Radical Functions

9.3 Rational Exponents and Simplifying Radical Expressions

9.4 Operations with Radicals

9.5 Radical Equations and Models

9.6 Complex Numbers

**10. Quadratic Equations and Functions; Circles**

10.1 Solving Quadratic Equations

10.2 Quadratic Functions and Their Graphs

10.3 Applications and Modeling of Quadratic Functions

10.4 Circles

10.5 Polynomial and Rational Inequalities

**11. Exponential and Logarithmic Functions and Equations**

11.1 Transformations of Functions

11.2 Composite and Inverse Functions

11.3 Exponential Functions

11.4 The Natural Exponential Function

11.5 Logarithmic Functions

11.6 Properties of Logarithms

11.7 Exponential and Logarithmic Equations

11.8 Applications of Exponential and Logarithmic Functions

**12. Conic Sections**

12.1 The Parabola

12.2 The Ellipse

12.3 The Hyperbola

**13. Sequences and Series**

13.1 Introduction to Sequences and Series

13.2 Arithmetic Sequences and Series

13.3 Geometric Sequences and Series

13.4 The Binomial Theorem

**Appendix A. Synthetic Division**

**Appendix B. Mean, Median, and Mode**

**Appendix C.**** Solving Systems of Linear Equations Using Matrices**

**Appendix D. Determinants and Cramer’s Rule**

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