Algebra
A Combined Approach
5th Edition
Published on 22. June 2015
Book
Paperback/Softback
1176 pages
978-0-321-97753-3 (ISBN)
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 series continues her focus on students and what they need to be successful.
Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:
0321978528 / 9780321978523 Algebra: A Combined Approach Plus NEW MyMathLab with Pearson eText -- Access Card Package
Package consists of:
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
032197753X / 9780321977533 Algebra: A Combined Approach
Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:
0321978528 / 9780321978523 Algebra: A Combined Approach Plus NEW MyMathLab with Pearson eText -- Access Card Package
Package consists of:
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
032197753X / 9780321977533 Algebra: A Combined Approach
Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
More details
Other editions
Person
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.
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.
Content
R. Prealgebra Review
R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
1. Real Numbers and Introduction to Algebra
1.1 Study Skills Tips for Sucess in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Expnents, Order of Operations, and Variable Expressions
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
2. Equations, Inequalities, and Problem Solving
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further 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 Linear Inequalities and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
3. Graphing Equations and Inequalities
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 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
4. Systems of 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 Addtion
4.4 Systems of Linear Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
5. Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
5.7 Dividing Polynomials
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
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
6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
6.5 Factoring by Special Products
6.6 Solving Quadratic Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
7. Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Solving Equations Containing Rational Expressions
7.6 Proportions and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
8. Graphs and Functions
8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
8.2 Introduction to Functions
8.3 Polynomial and Rational Functions
8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
8.5 Shifting and Reflecting Graphs of Functions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
9. Systems of Equations and Inequalities and Variation
9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving
9.2 Solving Systems of Equations Using Matrices
9.3 Systems of Linear Inequalities
9.4 Variation and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
10. Rational Exponents, Radicals, and Complex Numbers
10.1 Radical Expressions and Radical Functions
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Adding, Subtracting, and Multiplying Radical Expressions
10.5 Rationalizing Numerators and Denominators of Radical Expressions
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
11. Quadratic Equations and Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 Solving Quadratic Equations by Using 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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
12. Exponential and Logarithmic Functions
12.1 The Algebra of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential 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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
Appendices
Appendix A: Transition Review: Exponents, Polynomials, and Factoring Strategies
Appendix B: Transition Review: Solving Linear and Quadratic Equations
Appendix C: Sets and Compound Inequalities
Appendix D: Absolute Value Equations and Inequalities
Appendix E: Determinants and Cramer's Rule
Appendix F: Review of Angles, Lines, and Special Triangles
Appendix G: Stretching and Compressing Graphs of Absolute Value Functions
Appendix H: An Introduction to Using a Graphing Utility
R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
1. Real Numbers and Introduction to Algebra
1.1 Study Skills Tips for Sucess in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Expnents, Order of Operations, and Variable Expressions
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
2. Equations, Inequalities, and Problem Solving
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further 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 Linear Inequalities and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
3. Graphing Equations and Inequalities
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 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
4. Systems of 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 Addtion
4.4 Systems of Linear Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
5. Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
5.7 Dividing Polynomials
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
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
6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
6.5 Factoring by Special Products
6.6 Solving Quadratic Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
7. Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Solving Equations Containing Rational Expressions
7.6 Proportions and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
8. Graphs and Functions
8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
8.2 Introduction to Functions
8.3 Polynomial and Rational Functions
8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
8.5 Shifting and Reflecting Graphs of Functions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
9. Systems of Equations and Inequalities and Variation
9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving
9.2 Solving Systems of Equations Using Matrices
9.3 Systems of Linear Inequalities
9.4 Variation and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
10. Rational Exponents, Radicals, and Complex Numbers
10.1 Radical Expressions and Radical Functions
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Adding, Subtracting, and Multiplying Radical Expressions
10.5 Rationalizing Numerators and Denominators of Radical Expressions
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
11. Quadratic Equations and Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 Solving Quadratic Equations by Using 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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
12. Exponential and Logarithmic Functions
12.1 The Algebra of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential 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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
Appendices
Appendix A: Transition Review: Exponents, Polynomials, and Factoring Strategies
Appendix B: Transition Review: Solving Linear and Quadratic Equations
Appendix C: Sets and Compound Inequalities
Appendix D: Absolute Value Equations and Inequalities
Appendix E: Determinants and Cramer's Rule
Appendix F: Review of Angles, Lines, and Special Triangles
Appendix G: Stretching and Compressing Graphs of Absolute Value Functions
Appendix H: An Introduction to Using a Graphing Utility