Essentials of College Algebra with Integrated Review and worksheets plus NEW MyLab Math with Pearson eText-- Access Card Package

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  • Edition: 1st
  • Format: Package
  • Copyright: 2014-05-07
  • Publisher: Pearson

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Lial/Hornsby/Schneider/Daniels’s Essentials of College Algebra with Integrated Review is a new co-requisite course solution, offering a complete college algebra MyMathLab® course with integrated review of select topics from developmental algebra. This course solution may be used in a co-requisite course model, or simply to help under-prepared students master prerequisite skills and concepts.


About Essentials of College Algebra, Eleventh Edition:

Steadfast Support for Your Evolving Course.


Essentials of College Algebra, Eleventh Edition, by Lial, Hornsby, Schneider, and Daniels, develops both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Eleventh Edition, the authors have adapted and updated the program for the evolving student, New co-author Callie Daniels brings her experience with traditional, hybrid, and online courses, to create a suite of resources to support today’s learners.

Author Biography

Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.


When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.


David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland--College Park. His hobbies include travel, dancing, bicycling, and hiking.


Callie Daniels has always had a passion for learning mathematics and brings that passion into the classroom with her students. She attended the University of the Ozarks on an athletic scholarship, playing both basketball and tennis. While there, she earned a bachelor’s degree in Secondary Mathematics Education as well as the NAIA Academic All-American Award. She has two master’s degrees: one in Applied Mathematics and Statistics from the University of Missouri-Rolla, the second in Adult Education from the University of Missouri- St. Louis. Her hobbies include watching her sons play sports, riding horses, fishing, shooting photographs, and playing guitar. Her professional interests include improving success in the community college mathematics sequence, using technology to enhance students’ understanding of mathematics, and creating materials that support classroom teaching and student understanding.

Table of Contents

The table of contents below shows the review topics (bulleted text) that are integrated into the Essentials of College Algebra course. The Integrated Review includes worksheets, videos, and other materials designed to help students master these important topics.


R. Review of Basic Concepts

R.1 Sets

R.2 Real Numbers and Their Properties

R.3 Polynomials

R.4 Factoring Polynomials

R.5 Rational Expressions

R.6 Rational Exponents

R.7 Radical Expressions

            Chapter R Test Prep

            Review Exercises



1. Equations and Inequalities

1.1 Linear Equations

  • 1.1 R
  • Properties of Real Numbers
  • Evaluating Exponential Expressions
  • Order of Operations
  • Simplifying Expressions
  • Operations on Real Numbers

1.2 Applications and Modeling with Linear Equations

  • 1.2 R
  • Operations with Decimals
  • Translating Word Phrases into Algebraic Expressions and Equations
  • Formulas and Percent

1.3 Complex Numbers

  • 1.3 R
  • Radical Notation
  • Simplifying Square Root Radicals
  • Rationalizing Square Root Denominators
  • Addition, Subtraction, and Multiplication of Square Root Radicals
  • Product Rule for Exponents
  • Zero Exponent Rule
  • Negative Exponent Rule
  • Add, Subtract, and Multiply Polynomials

1.4 Quadratic Equations

  • 1.4 R
  • Factoring Out the Greatest Common Factor
  • Factoring Trinomials
  • Factoring Binomials

            Chapter 1 Quiz (Sections 1.1 - 1.4)

1.5 Applications and Modeling with Quadratic Equations

  • 1.5 R
  • Factoring Out the Greatest Common Factor
  • Factoring Trinomials
  • Factoring Binomials

1.6 Other Types of Equations and Applications

  • 1.6 R
  • Rational Expressions
  • Lowest Terms of a Rational Expression
  • Operations with Rational Expressions
  • Factoring (including by substitution)
  • Negative and Rational Exponents
  • Simplifying Radicals with Index Greater than 2

1.7 Inequalities

  • 1.7 R
  • Sets and Set Operations
  • Order on the Number Line

1.8 Absolute Value Equations and Inequalities

  • 1.8 R
  • Definition and Properties of Absolute Value
  • Evaluating Absolute Value Expressions


            Chapter 1 Test Prep

            Review Exercises



2. Graphs and Functions

2.1 Rectangular Coordinates and Graphs

  • 2.1. R   Review
  • Evaluating Expressions for Given Values

2.2 Circles

  • 2.2. R Review
  • Squaring a Binomial
  • Factoring Perfect Square Trinomials

2.3 Functions

  • 2.3. R Review
  • Solving for a Specified Variable

2.4 Linear Functions

  • 2.4. R Review
  • Division Involving Zero

            Chapter 2 Quiz (Sections 2.1 - 2.4)

2.5 Equations of Lines and Linear Models

2.6 Graphs of Basic Functions

2.7 Graphing Techniques

            Chapter 2 Quiz (Sections 2.5 - 2.7)

2.8 Function Operations and Composition

  • 2.8. R Review
  • Operations with Polynomials
  • Operations with Rational Expressions


            Chapter 2 Test Prep

            Review Exercises



3. Polynomial and Rational Functions.

3.1 Quadratic Functions and Models

  • 3.1. R Review
  • Squaring a Binomial
  • Factoring Perfect Square Trinomials

3.2 Synthetic Division

  • 3.2. R Review
  • Dividing Polynomials

3.3 Zeros of Polynomial Functions

3.4 Polynomial Functions: Graphs, Applications, and Models

3.5 Rational Functions: Graphs, Applications, and Models

            Chapter 3 Quiz (Sections 3.1 - 3.5)

3.6 Variation

  • 3.6. R Review
  • Using Geometric Formulas
  • Ratio and Proportion


            Chapter 3 Test Prep

            Review Exercises



4. Inverse, Exponential, and Logarithmic Functions.

4.1 Inverse Functions

  • 4.1 R Review
  • Simplifying Complex Fractions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Evaluating Logarithms and the Change-of-Base Theorem

            Chapter 4 Quiz (Sections 4.1 - 4.4)

4.5 Exponential and Logarithmic Equations

  • 4.5. R Review

            Rules for Rounding

4.6 Applications and Models of Exponential Growth and Decay


            Chapter 4 Test Prep

            Review Exercises



5. Systems and Matrices

5.1 Systems of Linear Equations

  • 5.1. R Review
  • Evaluating Expressions for Given Values
  • Inverse Property of Multiplication
  • Inverse Property of Addition

5.2 Matrix Solution of Linear Systems

5.3 Determinant Solution of Linear Systems

5.4 Partial Fractions

            Chapter 5 Quiz (Sections 5.1 - 5.4)

5.5 Nonlinear Systems of Equations

5.6 Systems of Inequalities and Linear Programming

5.7 Properties of Matrices

5.8 Matrix Inverses

            5.8. R

            Identity and Inverse Properties of Addition and Multiplication of Real Numbers


            Chapter 5 Test Prep

            Review Exercises




Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications


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