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Beginning Algebra, 8th edition

Published by Pearson (March 11, 2022) © 2023

  • Elayn Martin-Gay University of New Orleans, Lakefront

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For courses in Beginning Algebra.

Every student can succeed

Elayn Martin-Gay's firm belief that each student can succeed shapes all of her texts and video resources. The needs of the student inspire her clear, accessible writing, continued pedagogical innovations, and her popular and effective video instruction. She knows that students don't simply need to be taught math skills; they also need soft skills support that teaches them how to be students. Beginning Algebra, 8th Edition continues her focus on student success by tightening the connection between her hallmark math instruction and emphasis on study skills, blending them in a new video series.

Hallmark features of this title

  • Concept Checks help students gauge their grasp of an idea as it is presented and help prevent misconceptions.
  • Exercise sets include Guided Applications, Mixed Practice, Concept Extension, and Vocabulary, Readiness & Video Checks.
  • A study skills focus helps students make the most of study time. Resources include Section 1.1 Tips for Success in Mathematics, a Video Notebook to encourage good note-taking, and study skills resources in MyLab® Math.
  • End-of-chapter material helps students reinforce concepts in the most teachable moment: when preparing for a test. Getting Ready for the Test exercises help students check their understanding and avoid common errors. Video solutions and Learning Catalytics questions (a "bring your own device" polling system) are available in MyLab Math.

New and updated features of this title

  • Thoroughly examined and revised Exercise Sets feature a special focus on carefully pairing even- and odd-numbered exercises and updating real-life applications to keep content relevant for today's students.
  • An expanded section "Mean, Median, Mode, Range and Intro to Statistics" in Appendix D: this section also covers frequency distribution tables and graphs and a formula for finding the position of the median.
  • Updated Extension Exercises, Exploration Activities, Conceptual Exercises, and Group Activities are provided in the Key Concept Activity Workbook. This workbook is available through MyLab Math.
  • The Video Notebook has been updated to reflect updates made to the video lectures. This note-taking guide workbook provides students with the all-important skill of taking and keeping organized notes. It covers all video examples in order and gives prompts with ample space to note definitions and rules.
  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
    • Mid-Chapter Review: Operations on 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 Property of Equality
    • 2.3 The Multiplication Property of Equality
    • 2.4 Solving Linear Equations
    • Mid-Chapter Review: Solving Linear Equations
    • 2.5 An Introduction to Problem Solving
    • 2.6 Formulas and Problem Solving
    • 2.7 Percent and Mixture Problem Solving
    • 2.8 Further Problem Solving
    • 2.9 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
    • Mid-Chapter Review: Summary on Slope and Graphing Linear Equations
    • 3.5 Equations of Lines
    • 3.6 Functions
  4. Solving 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 Addition
    • Mid-Chapter Review: Solving Systems of Equations
    • 4.4 Systems of Linear Equations and Problem Solving
    • 4.5 Graphing Linear Inequalities
    • 4.6 Systems of Linear Inequalities
  5. Exponents and Polynomials
    • 5.1 Exponents
    • 5.2 Adding and Subtracting Polynomials
    • 5.3 Multiplying Polynomials
    • 5.4 Special Products
    • Mid-Chapter Review: Exponents and Operations on Polynomials
    • 5.5 Negative Exponents and Scientific Notation
    • 5.6 Dividing Polynomials
  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
    • Mid-Chapter Review: Choosing a Factoring Strategy
    • 6.6 Solving Quadratic Equations by Factoring
    • 6.7 Quadratic Equations and Problem Solving
  7. Rational Expressions
    • 7.1 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
    • Mid-Chapter Review: Summary on Rational Expressions
    • 7.6 Proportion and Problem Solving with Rational Equations
    • 7.7 Variation and Problem Solving
    • 7.8 Simplifying Complex Fractions
  8. Roots and Radicals
    • 8.1 Introduction to Radicals
    • 8.2 Simplifying Radicals
    • 8.3 Adding and Subtracting Radicals
    • 8.4 Multiplying and Dividing Radicals
    • Mid-Chapter Review: Simplifying Radicals
    • 8.5 Solving Equations Containing Radicals
    • 8.6 Radical Equations and Problem Solving
    • 8.7 Rational Exponents
  9. Quadratic Equations
    • 9.1 Solving Quadratic Equations by the Square Root Property
    • 9.2 Solving Quadratic Equations by Completing the Square
    • 9.3 Solving Quadratic Equations by the Quadratic Formula
    • Mid-Chapter Review: Summary on Solving Quadratic Equations
    • 9.4 Complex Solutions of Quadratic Equations
    • 9.5 Graphing Quadratic Equations

Appendices

  1. Geometry
  2. Additional Exercises on Proportion and Proportion Applications
  3. Operations on Decimals
  4. Mean, Median, Range and Introduction to Statistics/Mode
  5. Tables

Contents of Student Resources

Student Resources

Study Skills Builders

Bigger Picture: Study Guide Outline

Practice Final Exam

About our author

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 13 published textbooks and a new Interactive Assignment MyLab Math® course, 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 provides an opportunity for various combinations for an integrated teaching and learning package offering great consistency for the student.

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