Algebra
A Combined Approach
4th Edition
Published on 4. November 2011
Book
Paperback/Softback
1152 pages
978-0-321-72639-1 (ISBN)
Description
Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Algebra: A Combined Approach, Fourth Edition was written to provide students with a solid foundation in algebra and help them effectively transition to their next mathematics course. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success.
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 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 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
Chapter R: Prealgebra Review
R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Chapter 1: Real Numbers and Introduction to Algebra
1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Exponents, Order of Operations, and Variable Expressions
1.4 Adding Real Number
1.5 Subtracting Real Numbers
Integrated Review
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 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
Integrated Review
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
Chapter 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
Integrated Review
3.5 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables
Chapter 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 Addition
Integrated Review
4.4 Systems of Linear Equations and Problem Solving
Chapter 5: Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
Integrated Review
5.7 Dividing Polynomials
Chapter 6: Factoring Polynomials
6.1 The Greatest Common Factor
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 coupling
6.5 Factoring by Special Products
Integrated Review
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving
Chapter 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
Integrated Review
7.6 Proportions and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Chapter 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
Integrated Review
8.4 Interval Notation, Finding Domains and Ranges from
Graphs and Graphing Piecewise-Defined Functions
8.5 Shifting and Reflecting Graphs of Functions
Chapter 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
Integrated Review
9.3 Systems of Linear Inequalities
Variation and Problem Solving
Chapter 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
Integrated Review
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Chapter 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 Integrated Review
11.4 Nonlinear Inequalities in One Variable
11.5 Quadratic Functions and Their Graphs
11.6 Further Graphing of Quadratic Functions
Chapter 12: Exponential and Logarithmic Functions
12.1 The Algebra of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential Growth and Decay Functions
12.5 Logarithmic Functions
Integrated Review
12.6 Properties of Logarithms
12.7 Common Logarithms, Natural Logarithms, and Change of Base
12.8 Exponential and Logarithmic Equations and Problem Solving
Chapter 13: Conic Sections
13.1 The Parabola and the Circle
13.2 The Ellipse and the Hyperbola
Integrated Review
13.3 Solving Nonlinear Systems of Equations
13.4 Nonlinear Inequalities and Systems of Inequalities
Appendices
A Transition Review: Exponents, Polynomials, and Factoring Strategies
B. Transition Review: Solving Linear and Quadratic Equations
C. Sets and Compound Inequalities
D. Absolute Value Equations and Inequalities
E. Determinants and Cramer's Rule
F. Review of Angles, Lines, and Special Triangles
G. Stretching and Compressing Graphs of Absolute Value Functions
H. An Introduction to Using a Graphing Utility
Student Resources
Study Skills Builders
Bigger Picture Study Guide Outline
Practice Final Exam
Answers to Selected Exercises
R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Chapter 1: Real Numbers and Introduction to Algebra
1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Exponents, Order of Operations, and Variable Expressions
1.4 Adding Real Number
1.5 Subtracting Real Numbers
Integrated Review
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 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
Integrated Review
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
Chapter 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
Integrated Review
3.5 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables
Chapter 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 Addition
Integrated Review
4.4 Systems of Linear Equations and Problem Solving
Chapter 5: Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
Integrated Review
5.7 Dividing Polynomials
Chapter 6: Factoring Polynomials
6.1 The Greatest Common Factor
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 coupling
6.5 Factoring by Special Products
Integrated Review
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving
Chapter 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
Integrated Review
7.6 Proportions and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Chapter 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
Integrated Review
8.4 Interval Notation, Finding Domains and Ranges from
Graphs and Graphing Piecewise-Defined Functions
8.5 Shifting and Reflecting Graphs of Functions
Chapter 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
Integrated Review
9.3 Systems of Linear Inequalities
Variation and Problem Solving
Chapter 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
Integrated Review
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Chapter 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 Integrated Review
11.4 Nonlinear Inequalities in One Variable
11.5 Quadratic Functions and Their Graphs
11.6 Further Graphing of Quadratic Functions
Chapter 12: Exponential and Logarithmic Functions
12.1 The Algebra of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential Growth and Decay Functions
12.5 Logarithmic Functions
Integrated Review
12.6 Properties of Logarithms
12.7 Common Logarithms, Natural Logarithms, and Change of Base
12.8 Exponential and Logarithmic Equations and Problem Solving
Chapter 13: Conic Sections
13.1 The Parabola and the Circle
13.2 The Ellipse and the Hyperbola
Integrated Review
13.3 Solving Nonlinear Systems of Equations
13.4 Nonlinear Inequalities and Systems of Inequalities
Appendices
A Transition Review: Exponents, Polynomials, and Factoring Strategies
B. Transition Review: Solving Linear and Quadratic Equations
C. Sets and Compound Inequalities
D. Absolute Value Equations and Inequalities
E. Determinants and Cramer's Rule
F. Review of Angles, Lines, and Special Triangles
G. Stretching and Compressing Graphs of Absolute Value Functions
H. An Introduction to Using a Graphing Utility
Student Resources
Study Skills Builders
Bigger Picture Study Guide Outline
Practice Final Exam
Answers to Selected Exercises