Higher Education

Intermediate Algebra: Class Test Edition, 1st Edition

  • Laura Bracken Lewis-Clark State College
  • Ed Miller Lewis-Clark State College
  • ISBN-10: 1111574103  |  ISBN-13: 9781111574109
  • 992 Pages
  • © 2012 | Published
  • College Bookstore Wholesale Price = $101.50

About

Overview

Intermediate Algebra offers a practical approach to the study of intermediate algebra concepts, consistent with the needs of today's student. The authors help students to develop a solid understanding of functions by revisiting key topics related to functions throughout the text. They put special emphasis on the worked examples in each section, treating them as the primary means of instruction, since students rely so heavily on examples to complete assignments. The applications are also uniquely designed so that students have an experience that is more true to life--students must read information as it appears in a "live" media source and extract only the relevant information needed to solve a stated problem. The unique pedagogy in the text focuses on promoting better study habits and critical thinking skills along with orienting students to think and reason mathematically. Through Intermediate Algebra, students will not only be better prepared for future math courses, they will be better prepared to solve problems and answer questions they encounter in their own lives.

Additional Product Information

Features and Benefits

  • Success in College Mathematics. To help those who don't understand the culture of college, there are optional chapter openers and exercises that focus on personal responsibility.
  • Applications based on "live" media reports. The authors make connections between mathematics and the world "at large" using a variety of sources (including news articles and government reports) and contexts for applications. Their goal is to help students learn to use real-world data and information to make decisions.
  • Checks for Reasonableness. The authors emphasize the importance of checking solutions for reasonability. As well as including explanations on reasonability in the solutions to applications, a section is provided in the appendix that explores this topic in more depth.
  • Finding Mistakes. Each section has Find the Mistake exercises that contain one error. In these exercises, students are asked to identify the error and then rework the problem correctly helping them to develop the skills they need to correct their own work.
  • Vocabulary. Vocabulary matching exercises as well as writing exercises within the sections help students improve their knowledge of vocabulary and notation.
  • Examples with All of the "Steps." The authors provide as much detail as possible in the worked examples assuming minimal or no prior knowledge.
  • Detailed Instruction for Use of a TI-83 or TI-84 Graphing Calculator. This is included to provide support for those schools that use a graphing calculator and are delivering the course on-line or in a hybrid format. Students have step-by-step instruction including screen shots. These are considered optional.

Table of Contents

1. FUNDAMENTALS OF ALGEBRA.
Sets and Numerical Expressions. Algebraic Expressions. Equations and Inequalities in One Variable. Scientific Notation and Unit Analysis. Applications and Problem Solving. Linear Equations in Two Variables. Linear Inequalities in Two Variables. Summary and Review. Test.
2. POLYNOMIALS AND ABSOLUTE VALUE.
Adding, Subtracting, and Multiplying Polynomial Expressions. Factoring Polynomials. Factoring Trinomials. Polynomial Equations. Absolute Value Equations. Conjunctions, Disjunctions, and Absolute Value Inequalities. Summary and Review. Test.
3. RELATIONS AND FUNCTIONS.
Relations and Functions. Linear and Constant Functions. Quadratic and Cubic Functions. Polynomial Models. Operations with Functions. Absolute Value Functions. Translation of Polynomial Functions. Summary and Review. Test. Cumulative Review Chapters 1-3.
4. SYSTEM OF LINEAR EQUATIONS.
Systems of Linear Equations. Algebraic Methods. Applications. Systems of Linear Equations in Three Variables. Matrix Methods. Systems of Linear Inequalities. Summary and Review. Test.
5. RATIONAL EXPRESSIONS, EQUATIONS AND FUNCTIONS.
Simplifying, Multiplying, and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Rational Equations in One Variable. Rational Functions. Variation. Division of Polynomials; Synthetic Division. Rational Inequalities. Summary and Review. Test.
6. RADICAL EXPRESSIONS, EQUATIONS AND FUNCTIONS.
Introduction to Radicals. Adding, Subtracting, Multiplying and Simplifying Radical Expressions. Dividing Radical Expressions and Conjugates. Rational Exponents. Radical Equations. Radical Functions. Summary and Review. Test. Cumulative Review Chapters 4-6.
7. QUADRATIC EXPRESSIONS, EQUATIONS AND FUNCTIONS.
Complex Numbers. Solving Quadratic Equations. Completing the Square. Quadratic Formula. Quadratic Functions. Vertex Form of a Quadratic Function. Quadratic Inequalities. Summary and Review. Test.
8. EXPONENTIAL AND LOGARITHMIC EXPRESSIONS, EQUATIONS AND FUNCTIONS.
Exponential Functions. Logarithmic Functions. Applications. Exponential Equations. Logarithmic Equations. Summary and Review. Test.
9. CONIC SECTIONS SYSTEMS OF NON-LINEAR EQUATIONS.
Distance Formula, Midpoint Formula, and Circles. Ellipses. Parabolas. Hyperbolas. Systems of Non-Linear Equations in Two Variables. Summary and Review. Test. Cumulative Review Chapters 7-9.
10. SEQUENCES, SERIES AND THE BINOMIAL THEOREM.
Sequences and Series. Arithmetic Sequences. Geometric Sequences. The Binomial Theorem. Summary and Review. Test.
APPENDIX.
A1: Solving Linear Equations in One Variable. A2: Solving Inequalities in One Variable. A3: Graphing Linear Equations. A4: Slope and Slope-Intercept Form. A5: Writing the Equation of a Line. A6: Reasonability and Problem Solving. A7: Determinants and Cramer's Rule. A8: Developing the Equations of Conic Sections.

Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)

IMPORTANT: When purchasing this instant access code for Developmental Math, ensure that you are using it in one of the following courses: Basic Math, Prealgebra, Elementary Algebra, Introductory Algebra, Intermediate Algebra or Elementary & Intermediate Algebra. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $82.00  | CengageBrain Price = $82.00  | College Bookstore Wholesale Price = $82.00

Student Supplements

Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)

IMPORTANT: When purchasing this instant access code for Developmental Math, ensure that you are using it in one of the following courses: Basic Math, Prealgebra, Elementary Algebra, Introductory Algebra, Intermediate Algebra or Elementary & Intermediate Algebra. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $82.00  | CengageBrain Price = $82.00  | College Bookstore Wholesale Price = $82.00

Meet the Author

Author Bio

Laura Bracken

Laura Bracken, co-author of Investigating Prealgebra and Investigating Basic College Mathematics, teaches developmental mathematics at Lewis-Clark State College. As developmental math coordinator, Laura led the process of developing objectives, standardizing assessments, and enforcing placement including a mastery skill quiz program. She has worked collaboratively with science faculty to make connections between developmental math and introductory science courses. Laura has presented at numerous national and regional conferences and currently serves as the regional representative for the AMATYC Placement and Assessment Committee. Her blog, Dev Math Diary, is at http://devmathdiary.wordpress.com/.

Ed Miller

Ed Miller is a professor of mathematics at Lewis-Clark State College. He earned his PhD in general topology at Ohio University in 1989. He teaches a wide range of courses, including elementary and intermediate algebra. His terms as chair of the General Education Committee, the Curriculum Committee, and the Division of Natural Sciences and Mathematics have spurred him to look at courses as part of an integrated whole rather than discrete units. A regular presenter at national and regional meetings, Ed is exploring the use of multiple choice questions as a teaching tool as well as an assessment tool.