Beginning & Intermediate Algebra, 6th edition

Published by Pearson (February 15, 2016) © 2017

  • Elayn Martin-Gay University of New Orleans, Lakefront

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For courses in beginning and intermediate algebra.

Every student can succeed.

Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.

Also available with MyMathLab

MyMathLab® is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

  • Detailed step-by-step examples provide guidance for students.
  • Concept Checks throughout the text allow students to gauge their grasp of an idea as it is presented in the text. By stressing conceptual understanding at the point of use, the Concept Checks help prevent misconceived notions for important topics.
  • Updated! All exercise sets have been carefully updated with this revision. Several special types of exercises throughout the text give students the practice they need: new Vocabulary, Readiness & Video Checks; Guided Applications; Mixed Practice; Concept Extension; and more!
  • Martin-Gay’s presentation of Study Skills ensures that students make the most of their valuable study time in order to help them succeed in this course. In-text study-skills resources include Section 1.1, Tips for Success in Mathematics and the new Student Resources section located in the back of the book.
  • End-of-chapter material offers students a wealth of review- and retention-oriented material to reinforce the concepts presented in current and previous chapters.
    • NEW! Getting Ready for the Test exercises give students another way to prepare for the test by checking their conceptual understanding and preventing common errors. These appear before each Chapter Test; all exercises are either multiple choice or matching, with answers available in the back of the text.

New and updated features in the textbook

  • Getting Ready for the Test exercises give students another way to prepare for the test by checking their conceptual understanding and preventing common errors. These appear before each Chapter Test; all exercises are either multiple choice or matching, with answers available in the back of the text.


Also available with MyMathLab

MyMathLab® is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

  • Updated! Martin-Gay’s video program has been updated and expanded and includes assignable video check questions, new Getting Ready for the Test videos for each chapter, and an increased number of watch clips at the exercise level to help students while doing homework in MyMathLab. All videos are presented by Elayn Martin-Gay to ensure 100% consistency with the text, and are available in both MyMathLab® and on the Interactive DVD Lecture Series. The following types of videos are available:
    • Getting Ready for the Test videos can be found before each Chapter Test. Before each Chapter Test, there are exercises that help check student’s conceptual understanding of the topics in the chapter as well as help them focus in on and avoid common errors. It is suggested that students complete and check these exercises before taking a practice Chapter Test. All exercises are either Multiple Choice or Matching, and all answers can be found in the answer section of this text. With these new videos:
      • Video Solutions of all Getting Ready for the Test exercises can be found in MyMathLab and on the Interactive DVD Lecture Series. These video solutions contain brief explanations and reminders of material in the chapter. Where applicable, incorrect choices contain explanations.
      • Getting Ready for the Test exercise numbers, marked in blue, indicate that the question is available in Learning Catalytics.
    • Student Success Tips videos are 3–5 minute segments, designed to be daily reminders to keep practicing effective organizational and study habits. These are organized into three categories:
      • Success Tips that apply to any college course, such as Time Management.
      • Success Tips that apply to any mathematics course, such as understanding that math requires homework to be completed in a timely fashion, as concepts build on previously learned material.
      • Section or Content-specific Success Tips to help students avoid common mistakes or understand challenging concepts, such as applying the order of operations to simplify an expression.
  • Learning Catalytics Questions: MyMathLab now provides Learning Catalytics—an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. You can use the built-in questions or make your own!
    • Getting Ready for the Test exercises are included at the end of each chapter before the chapter test. Exercise numbers in blue are available in Learning Catalytics. These are also noted in the Annotated Instructor’s Edition.
  • Key Concept and Activity Lab Workbook is a great way to engage students in conceptual projects and exploration, as well as group work. The Workbook includes Extension Exercises, Exploration Activities, Conceptual Exercises, and Group Activities.

1. Review of Real Numbers

1.1 Study Skill Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Fractions and Mixed Numbers

1.4 Exponents, Order of Operations, Variable Expressions and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

1.7 Multiplying and Dividing Real Numbers

1.8 Properties of Real Numbers

 

2. Equations, Inequalities, and Problem Solving

2.1 Simplifying Algebraic Expressions

2.2 The Addition and Multiplication Properties of Equality

2.3 Solving Linear Equations

2.4 An Introduction to Problem Solving 

2.5 Formulas and Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Further Problem Solving

2.8 Solving Linear Inequalities 

 

3. Graphing

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

3.5 Equation of Lines

3.6 Functions

 

4. Solving Systems of Linear Equations

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 Addition

4.4 Solving Systems of Linear Equations in Three Variables

4.5 Systems of Linear Equations and Problem Solving

 

5. Exponents and Polynomials

5.1 Exponents

5.2 Polynomial Functions and Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

5.7 Synthetic Division and the Remainder Theorem

 

6. Factoring Polynomials

6.1 The Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form  x2 + bx + c

6.3 Factoring Trinomials of the Form  ax2 + bx + c and Perfect Square Trinomials

6.4 Factoring Trinomials of the Form  ax2 + bx + c by Grouping

6.5 Factoring Binomials

6.6 Solving Quadratic Equations by Factoring

6.7 Quadratic Equations and Problem Solving

 

7. Rational Expressions

7.1 Rational Functions and Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions

7.6 Proportion and Problem Solving with Rational Equations

7.7 Simplifying Complex Fractions

 

8. More on Functions and Graphs

8.1 Graphing and Writing Linear Functions

8.2 Reviewing Function Notation and Graphing Nonlinear Functions

8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions

8.4 Variation and Problem Solving

 

9. Inequalities and Absolute Value

9.1 Compound Inequalities

9.2 Absolute Value Equations

9.3 Absolute Value Inequalities

9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

 

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 Rationalizing Denominators and Numerators of Radical Expressions

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

 

11. Quadratic Equations and Functions

11.1 Solving Quadratic Equations by Completing the Square

11.2 Solving Quadratic Equations by the Quadratic Formula

11.3 Solving Equations by Using Quadratic Methods

11.4 Nonlinear Inequalities in One Variable

11.5 Quadratic Functions and Their Graphs

11.6 Further Graphing of Quadratic Functions 

 

12. Exponential and Logarithmic Functions

12.1 The Algebra of Functions; Composite Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Exponential Growth and Decay Functions

12.5 Logarithmic Functions

12.6 Properties of Logarithms

12.7 Common Logarithms, Natural Logarithms, and Change of Base

12.8 Exponential and Logarithmic Equations and Problem Solving

 

13. Conic Sections

13.1 The Parabola and the Circle

13.2 The Ellipse and the Hyperbola

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities

 

14. Sequences, Series, and the Binomial Theorem

14.1 Sequences

14.2 Arithmetic and Geometric Sequences

14.3 Series

14.4 Partial Sums of Arithmetic and Geometric Sequences

14.5 The Binomial Theorem

 

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”–as they prepare for a test–along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry.  She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

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