Algebra Foundations

Description

Elayn Martin-Gay’s developmental math program is 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 worktext series continues her focus on students and what they need to be successful.

 

The new All-in-One Developmental Mathematics program offers everything needed to teach Prealgebra, Introductory Algebra, and Intermediate Algebra in one easy-to-use solution. The program includes a complete MyMathLab course with full eText (one Integrated Course Sequence MyMathLab code for all three courses!) and two print-on-demand options:

• Complete All-in-One textbook with all chapters, or customized text with selected chapters, in an À la Carte format
• Worksheets with all chapters or customized with selected chapters

Instructors can set it up in two easy steps: 1.) Create the MyMathLab course, and 2.) Choose the print option!

1. The Whole Numbers

1.1 Tips for Success in Mathematics

1.2 Place Value, Names for Numbers, and Reading Tables

1.3 Adding and Subtracting Whole Numbers, and Perimeter

1.4 Rounding and Estimating

1.5 Multiplying Whole Numbers and Area

1.6 Dividing Whole Numbers

            Integrated Review–Operations on Whole Numbers

1.7 Exponents and Order of Operations

1.8 Introduction to Variables, Algebraic Expressions, and Equations

 

2. Integers and Introduction to Solving Equations

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

            Integrated Review–Integers

2.5 Order of Operations

2.6 Solving Equations: The Addition and Multiplication Properties

 

3. Solving Equations and Problem Solving

3.1 Simplifying Algebraic Expressions

3.2 Solving Equations: Review of the Addition and Multiplication Properties

            Integrated Review–Expressions and Equations

3.3 Solving Linear Equations in One Variable

3.4 Linear Equations in One Variable and Problem Solving

 

4. Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Factors and Simplest Form

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions

4.5 Adding and Subtracting Unlike Fractions

            Integrated Review–Summary on Fractions and Operations on Fractions

4.6 Complex Fractions and Review of Order of Operations

4.7 Operations on Mixed Numbers

4.8 Solving Equations Containing Fractions

 

5. Decimals

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals and Circumference of a Circle

5.4 Dividing Decimals

            Integrated Review–Operations on Decimals

5.5 Fractions, Decimals, and Order of Operations

5.6 Solving Equations Containing Decimals

5.7 Decimal Applications: Mean, Median, and Mode

 

6. Ratio, Proportion, and Percent

6.1 Ratio and Proportion

6.2 Percents, Decimals, and Fractions

6.3 Solving Percent Problems with Equations

6.4 Solving Percent Problems with Proportions

            Integrated Review–Ratio, Proportion, and Percent

6.5 Applications of Percent

6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount

6.7 Percent and Problem Solving: Interest

 

7. Graphs and Triangle Applications

7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

7.2 Reading and Drawing Circle Graphs

Integrated Review–Reading Graphs

7.3 Square Roots and the Pythagorean Theorem

7.4 Congruent and Similar Triangles

7.5 Counting and Introduction to Probability

 

8. Geometry and Measurement

8.1 Lines and Angles

8.2 Perimeter

8.3 Area, Volume, and Surface Area

            Integrated Review–Geometry Concepts

8.4 Linear Measurement

8.5 Weight and Mass

8.6 Capacity

8.7 Temperature and Conversions Between the U.S. and Metric Systems

 

9. Equations, Inequalities, and Problem Solving

9.1 Symbols and Sets of Numbers

9.2 Properties of Real Numbers

9.3 Further Solving Linear Equations

            Integrated Review–Real Numbers and Solving Linear Equations

9.4 Further Problem Solving

9.5 Formulas and Problem Solving

9.6 Linear Inequalities and Problem Solving

 

10. Graphs and Introduction to Functions

10.1 Reading Graphs and the Rectangular Coordinate System

10.2 Graphing Linear Equations

10.3 Intercepts

10.4 Slope and Rate of Change

            Integrated Review–Summary on Slope and Graphing Linear Equations

10.5 Equation of Lines

10.6 Functions

 

11. Solving Systems of Linear Equations

11.1 Solving Systems of Linear Equations by Graphing

11.2 Solving Systems of Linear Equations by Substitution

11.3 Solving Systems of Linear Equations by Addition

            Integrated Review–Solving Systems of Equations

11.4 Solving Systems of Linear Equations in Three Variables

11.5 Systems of Linear Equations and Problem Solving

 

12. Exponents and Polynomials

12.1 Exponents

12.2 Polynomial Functions and Adding and Subtracting Polynomials

12.3 Multiplying Polynomials

12.4 Special Products

            Integrated Review–Exponents and Operations on Polynomials

12.5 Negative Exponents and Scientific Notation

12.6 Dividing Polynomials

12.7 Synthetic Division and the Remainder Theorem

 

13. Factoring Polynomials

13.1 The Greatest Common Factor and Factoring by Grouping

13.2 Factoring Trinomials of the Form x² + bx + c

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

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

13.5 Factoring Binomials

            Integrated Review–Choosing a Factoring Strategy

13.6 Solving Quadratic Equations by Factoring

13.7 Quadratic Equations and Problem Solving

 

14. Rational Expressions

14.1 Rational Functions and Simplifying Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

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

14.4 Adding and Subtracting Rational Expressions with Unlike Denominators

14.5 Solving Equations Containing Rational Expressions

            Integrated Review–Summary on Rational Expressions

14.6 Proportion and Problem Solving with Rational Equations

14.7 Simplifying Complex Fractions

 

15. More on Functions and Graphs

15.1 Graphing and Writing Linear Functions

15.2 Function Notation Review and Graphing Nonlinear Functions

            Integrated Review–Summary on Functions

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

15.4 Variation and Problem Solving

 

16. Inequalities and Absolute Value

16.1 Compound Inequalities

16.2 Absolute Value Equations

16.3 Absolute Value Inequalities

            Integrated Review–Solving Equations and Inequalities

16.4 Linear Inequalities in Two Variables and Systems of Linear Inequalities

 

17. Rational Exponents, Radicals, and Complex Numbers

17.1 Radicals and Radical Functions

17.2 Rational Exponents

17.3 Simplifying Radical Expressions

17.4 Adding and Subtracting and Multiplying Radical Expressions

17.5 Rationalizing Denominators and Numerators of Radical Expressions

            Integrated Review–Radicals and Rational Exponents

17.6 Radical Equations and Problem Solving

17.7 Complex Numbers

 

18. Quadratic Equations and Functions

18.1 Solving Quadratic Equations by Completing the Square

18.2 Solving Quadratic Equations by the Quadratic Formula

18.3 Solving Equations by Using Quadratic Methods

            Integrated Review–Summary on Solving Quadratic Equations

18.4 Nonlinear Inequalities in One Variable

18.5 Quadratic Functions and Their Graphs

18.6 Further Graphing of Quadratic Functions

 

19. Exponential and Logarithmic Functions

19.1 The Algebra of Functions: Composite Functions

19.2 Inverse Functions

19.3 Exponential Functions

19.4 Exponential Growth and Decay Functions

19.5 Logarithmic Functions

19.6 Properties of Logarithms

            Integrated Review–Functions and Properties of Logarithms

19.7 Common Logarithms, Natural Logarithms, and Change of Base

19.8 Exponential and Logarithmic Equations and Problem Solving

 

20. Conic Sections

20.1 The Parabola and the Circle

20.2 The Ellipse and the Hyperbola

Integrated Review–Graphing Conic Sections

20.3 Solving Nonlinear Systems of Equations

20.4 Nonlinear Inequalities and Systems of Inequalities

 

21. Sequences, Series, and the Binomial Theorem

21.1 Sequences

21.2 Arithmetic and Geometric Sequences

21.3 Series

            Integrated Review–Sequences and Series

21.4 Partial Sums of Arithmetic and Geometric Sequences

21.5 The Binomial Theorem

 

Appendices

Appendix A Operations on Decimals/    Tables and Formulas

A.1 Table of Percent, DecimalGeometric Figures

A.2 Table of Percents, Decimals, and Fraction Equivalents

A.3 Table on Finding Common Percents of a Number

A.4 Table of Squares and Square Roots

A.5 Geometric Formulas

Appendix B      Review of Algebra Topics

B.1 Equations (Linear and Quadratic Solved by Factoring)

B.2 Mixture and Uniform Motion Problem Solving

B.3 Graphing

B.4 Polynomials and Factoring

B.5 Rational Expressions

 

Appendix C. An Introduction to Using a Graphing Utility

Appendix D. Solving Systems of Equations by Matrices

Appendix E. Solving Systems of Equations by Determinants

Appendix F. Mean, Median, and Mode

Appendix G. Review of Angles, Lines, and Special Triangles

Appendix H. Contents of Student Resources

 

Elayn Martin-Gay’s developmental math program is 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 series continues her focus on students and what they need to be successful.

The eText in MyMathLab and the Print-on-Demand text encompass all of the hallmark features of the Martin-Gay series. Contact your Pearson Representative, or go to www.pearsoncustomlibrary.com to create an all-in-one textbook with all chapters or a customized text with selected chapters.

 

The Martin-Gay developmental math program offers a variety of print and digital resources so instructors can build the ideal learning solution for their students.

 

Martin-Gay’s NEW Student Success program is motivated by Elayn’s firm belief that every student can succeed. This integrated learning system combines the textbook, MyMathLab, student and video organizers, and the video program, and is designed to help students gain the math and study skills needed for success in developmental math and beyond.

• The new Ready to Go MyMathLab^®courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started. Each course includes pre-assigned homework and quizzes to make creating a course even easier. The Martin-Gay course provides a stepped-out learning path for students that integrates the textbook, videos, and Video Organizer to help ensure that students are using all resources.
• All videos in the video program 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:

• A complete lecture for each section of the text highlights key examples and exercises. New “pop-ups” reinforce key terms, definitions, and concepts while Martin-Gay presents the material.
• Interactive Concept Checks measure students’ understanding of key concepts and common trouble spots. After the viewer selects an answer from several multiple choice options, Martin-Gay explains why the answer is correct or incorrect.
• The Chapter Test Prep Videos help students during their most teachable moment–when they are preparing for a test. This Martin-Gay innovation provides step-by-step solutions for the exercises found in each Chapter Test. Complete solutions on video for all exercises from the Practice Final Exam (located in Student Resources) help students prepare for the real thing. Overview segments review key problem-solving strategies.
• The NEW Student Success Tips Videos are 3- to 5-minute video segments designed to be a daily reminder to students to continue practicing and maintaining good organizational and study habits (see New-to-Edition section for more information).

• Two Organizer options let you  choose the option that best suits your teaching style and format.

• The NEW Video Organizer is designed to help students take notes and work practice exercises while watching the Interactive lecture series (available in MyMathLab and on DVD).

• All content in the Video Organizer is presented in the same order as it is presented in the videos, making it easy for students to create a course notebook and build good study habits.
• The Organizer provides ample space for students to write down key definitions and rules.
• The Video Organizer is available in loose-leaf, notebook-ready format and is also available in MyMathLab.
• Includes an outline for use with  the new Student Success Tip videos

• The Student Organizer is designed to help students develop the study habits they need to be successful.

• This Organizer guides students through the three main components of studying effectively–note-taking, practice, and homework–and helps them develop the habits that will enable them to succeed in future courses.
• The Student Organizer can be packaged with the text in loose-leaf, notebook-ready format and is also available in MyMathLab.
• It now includes an outline for use with the new Student Success Tip Videos

 

The textbook, available in print or digital format, is the keystone of the Martin-Gay program. Elayn Martin-Gay is known for her accessible writing style and for the depth of resources she provides for instructors and students in her texts.

• Detailed step-by-step examples provide guidance for students.
• Practice exercises are paired with each example to actively involve students in the learning process.
• 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 point-of-use, the Concept Checks help prevent misconceived notions for important topics.
• 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 and 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 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.