College Algebra, 13th Edition © 2021
College Algebra, published by Pearson, combines the experiences of master teachers with a robust and flexible digital platform to connect today’s students with the foundational algebraic concepts they will need throughout high school and beyond.
- Integrated Review for varying levels of student preparation
- Expanded Review chapter covers basic but challenging algebra
- Robust digital content on MyMathLab® for School from Pearson
- Personalized learning to support each student
College Algebra Program with Digital Resources
Help students develop a balance of conceptual understanding and analytical skills in algebra.
Students and teachers will enjoy the enhanced readability, updates to the applications and real-world mathematics problems. The use of color is more targeted, and exercises coordinate with related examples.
Anytime, Anywhere Video Program
A new College Algebra Essentials Series covers the essential topics your students need to master to be successful in the course. Interactive questions are embedded throughout.
Integrated Review provides a full suite of supporting resources for the main course content. Additional assignments and study aids are also available for students who will benefit from remediation.
Teachers can leverage their available technology for blended or all digital instruction on the powerful MyMathLab® for School platform.
College Algebra Teaching Solutions
MyMathLab® for School from Pearson Features
Enhanced Sample AssignmentsAuthor Callie Daniels’ Enhanced Sample Assignments makes course set-up easier by giving instructors a starting point for each section.
Prep AssignmentsPrep Assignments include Example Videos with assessment questions. This assignment pairs with MyNotes. Students actively participate while taking notes from the Example Video and then work the related exercises.
Personal Inventory Assessments33 Personal Inventory Assessments promote self-reflection and engagement in students. Topics include Stress Management, Diagnosing Poor Performance, Enhancing Motivation, and Time Management.
Chapter RThe expanded Chapter R includes more of the basic concepts that challenge many college algebra students, including Fractions, Decimals, and Percents; Operations with Signed Numbers; Dividing a Polynomial by a Monomial; and Factoring Expressions with Negative and Rational Exponents.
Added ExercisesExercises have been carefully added throughout Chapters 1 and 2 to improve students’ understanding of Functions, Graphs of Basic Functions, Linear Functions, and Function Operation and Composition.
New SectionsA new section on Polynomial and Rational Inequalities in Chapter 3 features a visual approach to solving such inequalities by interpreting the graphs of related functions.
Updated Exercises and ExamplesUpdated exercises and examples in Sections 4-6 aid with Logarithmic Functions, Matrix Solution of Linear Systems, finding standard forms of Ellipses and Hyperbolas, and for greater ease of use overall.
Empower Your Math Students with the MyMathLab® Platform from Pearson
MyMathLab® for School from Pearson is the world’s leading online tutorial and assessment program for teaching and learning mathematics.
More About College Algebra
Marge Lial Author BioMarge 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.
John Hornsby Author BioWhen 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), and has been an avid baseball fan all of 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.
Terry McGinnis Author BioA native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.
Callie Daniels Author BioCallie 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 where she earned a bachelor’s degree in Secondary Mathematics Education. 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 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. She is able to pursue these interests as a contributor on the Lial Developmental Math series, and a co-author on the Precalculus series.
Table of Contents
R. Review of Basic Concepts
R-1 Fractions, Decimals, and Percents
R-2 Sets and Real Numbers
R-3 Real Number Operations and Properties
R-4 Integer and Rational Exponents
R-6 Factoring Polynomials
R-7 Rational Expressions
R-8 Radical Expressions
1. Equations and Inequalities
1-1 Linear Equations
1-2 Applications and Modeling with Linear Equations
1-3 Complex Numbers
1-4 Quadratic Equations
1-5 Applications and Modeling with Quadratic Equations
1-6 Other Types of Equations and Applications
1-8 Absolute Value Equations and Inequalities
2. Graphs and Functions
2-1 Rectangular Coordinates and Graphs
2-4 Linear Functions
2-5 Equations of Lines and Linear Models
2-6 Graphs of Basic Functions
2-7 Graphing Techniques
2-8 Function Operations and Composition
3. Polynomial and Rational Functions
3-1 Quadratic Functions and Models
3-2 Synthetic Division
3-3 Zeros of Polynomial Functions
3-4 Polynomial Functions: Graphs, Applications, and Models
3-5 Rational Functions: Graphs, Applications, and Models
3-6 Polynomial and Rational Inequalities
4. Inverse, Exponential, and Logarithmic Functions
4-1 Inverse Functions
4-2 Exponential Functions
4-3 Logarithmic Functions
4-4 Evaluating Logarithms and the Change-of-Base Theorem
4-5 Exponential and Logarithmic Equations
4-6 Applications and Models of Exponential Growth and Decay
5. Systems and Matrices
5-1 Systems of Linear Equations
5-2 Matrix Solution of Linear Systems
5-3 Determinant Solution of Linear Systems
5-4 Partial Fractions
5-5 Nonlinear Systems of Equations
5-6 Systems of Inequalities and Linear Programming
5-7 Properties of Matrices
5-8 Matrix Inverses
6. Analytic Geometry
6-4 Summary of the Conic Sections
7. Further Topics in Algebra
7-1 Sequences and Series
7-2 Arithmetic Sequences and Series
7-3 Geometric Sequences and Series
7-4 The Binomial Theorem
7-5 Mathematical Induction
7-6 Counting Theory
7-7 Basics of Probability
Answers to Selected Exercises
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