Developmental Mathematics, Loose-Leaf Edition

NOTE: This loose-leaf, three-hole punched version of the textbook gives you the flexibility to take only what you need to class and add your own notes – all at an affordable price. For loose-leaf editions that include MyLab™ or Mastering™, several versions may exist for each title and registrations are not transferable. You may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

For courses in Basic Math & Beginning Algebra (combined).

The Martin-Gay principle: Every student can succeed

Elayn Martin-Gay’s student-centric approach is woven seamlessly throughout her texts and MyLab™ courses, giving students the optimal amount of support through effective video resources, an accessible writing style, and study skills support built into the program. 

Elayn’s legacy of innovations that support student success include Chapter Test Prep videos and a Video Organizer note-taking guide. Expanded resources in the latest revision bring even more updates to her program, all shaped by her focus on the student — a perspective that has made her course materials beloved by students and instructors alike. The Martin-Gay series offers market-leading content written by a preeminent author-educator, tightly integrated with the #1 choice in digital learning: MyLab Math. 

Also available with MyLab Math 

By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Bringing Elayn Martin-Gay’s voice and approach into the MyLab course — though video resources, study skills support, and exercises refined with each edition — gives students the support to be successful in math.  

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

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 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.

1. The Whole Numbers

1.1 Study Skills Tips for Success in Mathematics
1.2 Place Value, Names, and Reading Tables
1.3 Adding Whole Numbers and Perimeter
1.4 Subtracting Whole Numbers
1.5 Rounding and Estimating
1.6 Multiplying Whole Numbers and Area
1.7 Dividing Whole Numbers

Integrated Review-Operations on Whole Numbers

1.8 An Introduction to Problem Solving
1.9 Exponents, Square Roots, and Order of Operations

2. Multiplying and Dividing Fractions

2.1 Introduction to Fractions and Mixed Numbers 
2.2 Factors and Prime Factorization 

2.3 Simplest Form of a Fraction  

Integrated Review-Summary on Fractions, Mixed Numbers, and Factors 

1. 2.4 Multiplying Fractions and Mixed Numbers 
2. 2.5 Dividing Fractions and Mixed Numbers 

3. Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions 
3.2 Least Common Multiple 
3.3 Adding and Subtracting Unlike Fractions 

Integrated Review-Operations on Fractions and Mixed Numbers 

3.4 Adding and Subtracting Mixed Numbers 
3.5 Order, Exponents, and the Order of Operations 
3.6 Fractions and Problem Solving 

4. Decimals

4.1 Introduction to Decimals 
4.2 Order and Rounding 
4.3 Adding and Subtracting Decimals
4.4 Multiplying Decimals and Circumference of a Circle 

Integrated Review-Operations on Decimals 

4.5 Dividing Decimals and Order of Operations 
4.6 Fractions and Decimals

5. Ratio, Proportion, and Percent

5.1 Ratio and Proportion 
5.2 Introduction to Percent 
5.3 Percents and Fractions 
5.4 Solving Percent Problems Using Equations 
5.5 Solving Percent Problems Using Proportions 

Integrated Review-Ratio, Proportion, and Percent 

5.6 Applications of Percent 
5.7 Percent and Problem Solving: Sales Tax, Commission, and Discount  
5.8 Percent and Problem Solving: Interest 

6. Geometry 

6.1 Lines and Angles 
6.2 Plane Figures and Solid
6.3 Perimeter
6.4 Area
6.5 Volume
6.6 Square roots and the Pythagorean Theorem
6.7 Congruent and Similar Triangles

7. Reading Graphs and Introductions to Statistics and Probability 

7.1 Pictographs, Bar Graphs, Histograms, and Line Graphs 
7.2 Circle Graphs

Integrated Review- Reading Graphs

7.3 Mean, Median, Mode, and Range 
7.4 Counting and Introduction to Probability

8. Real Numbers and Introductions to Algebra

8.1 Symbols and Sets of Numbers 
8.2 Exponents, Order of Operations, and Variable Expressions 
8.3 Adding Real Numbers 
8.4 Subtracting Real Numbers

Integrated Review-Operations on Real Numbers

8.5 Multiplying and Dividing Real Numbers
8.6 Properties of Real Numbers 
8.7 Simplifying Expressions 

9. Equations, Inequalities, and Problem Solving

9.1 The Addition Property of Equality 

9.2 The Multiplication Property of Equality  

9.3 Further Solving Linear Equations 

Integrated Review-Solving Linear Equations 

9.4 Further Problem Solving 

9.5 Formulas and Problem Solving 

9.6 Percent and Mixture Problem Solving

9.7 Linear Inequalities and Problem Solving 

10. Graphing Equations and Inequalities 

10.1 The Rectangular Coordinate System 

10.2 Graphing Linear Equations 

10.4 Slope and Rate of Change 

10.5 Equations of Lines 

Integrated Review-Summary on Linear Equations  

10.6 Introduction to Functions 

10.7 Graphing Linear Inequalities in Two Variables 

10.8 Direct and Inverse Variation 

11. Systems of 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-Summary on Solving Systems of Equations 

11.4 Systems of Linear Equations and Problem Solving

12. Exponents and Polynomials 

12.1 Exponents

12.2 Negative Exponents and Scientific Notation 

12.3 Introduction to Polynomials  

12.4 Adding and Subtracting Polynomials

12.5 Multiplying Polynomials

12.6 Special Products 

Integrated Review- Exponents and Operations on Polynomials 

12.7 Dividing Polynomials 

13. Factoring Polynomials

13.1 The Greatest Common Factor and Factoring by Grouping 

13.2 Factoring Trinomials of the Form x ²+ bx + c 

13.3 Factoring Trinomials of the Form ax ²  + bx + c  

13.4 Factoring Trinomials of the Form ax ²  + bx + c  by Grouping 

13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares 

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 Simplifying Rational Expressions 

14.2 Multiplying and Dividing Rational Expressions 

14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 

14.4 Adding and Subtracting Rational Expressions with Different Denominators 

14.5 Solving Equations Containing Rational Expressions 

Integrated Review-Summary on Rational Expressions 

14.6 Rational Equations and Problem Solving 

14.7 Simplifying Complex Fractions 

15. Roots and Radicals

15.1 Introduction to Radicals 

15.2 Simplifying Radicals 

15.3 Adding and Subtracting Radicals 

15.4 Multiplying and Dividing Radicals 

Integrated Review-Simplifying Radicals 

15.5 Solving Equations Containing Radicals 

15.6 Radical Equations and Problem Solving

16. Quadratic Equations and Nonlinear Graphs

16.1 Solving Quadratic Equations by the Square Root Property 

16.2 Solving Quadratic Equations by Completing the Square  

16.3 Solving Quadratic Equations by the Quadratic Formula 

Integrated Review-Summary on Solving Quadratic Equations  

16.4 Graphing Quadratic Equations in Two Variables 

16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions

Appendices:

Appendix A: Further Algebra Topics

Appendix B: Tables

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