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Beginning & Intermediate Algebra, 7th edition

Published by Pearson (June 3, 2022) © 2023

  • Elayn Martin-Gay University of New Orleans, Lakefront

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For courses in Beginning & Intermediate 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 & Intermediate Algebra, 7th 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.

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.
  • Real-life applications and data are made current to keep content relevant for today's students. Updated applications include social media use, stock share prices, and job growth predictions.
  • 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.

Features of MyLab Math for the 7th Edition

  • All new Section Lecture Videos merge study strategies with the math instruction, allowing instructors to include study skills in their course without taking up valuable time. Every section in the text has a completely new Lecture Video featuring Elayn Martin-Gay's friendly presentation style. Videos introduce common errors and study tips along with the mathematics.
  • Other video resources include Getting Ready for the Test video solutions and Chapter Test Prep solutions, both of which help students in their most teachable moment, and Student Success Tip videos.
  • A new Mindset module includes assignable growth mindset-focused videos and exercises that help students keep a positive attitude about learning, value their own ability to grow, and view mistakes as learning opportunities.
  • New GeoGebra animations can be assigned with exercises and ask students to interact with the math in a visual way.
  • Integrated Review in MyLab Math helps students who need a refresher on prerequisite skills. Premade assignments include a Chapter Skills Check on prerequisite skills, and a follow-up personalized homework focusing each student on just the topics they need. Videos and worksheets offer more instruction on topics where students might require extra help.

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

APPENDICES

  1. Operations on Decimals/Table of Percent, Decimal, and Fraction Equivalents
  2. Review of Algebra Topics
  3. An Introduction to Using a Graphing Utility
  4. Solving Systems of Equations by Matrices
  5. Solving Systems of Equations Using Determinants
  6. Mean, Median, Mode
  7. Review of Angles, Lines, and Special Triangles

Student Resources

Study Skill 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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