Description
Book SynopsisElayn 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 momentas they prepare for a testalong with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra,
Table of Contents
Table of Contents
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Real Numbers and Algebraic Expressions
- 1.1 Study Skill Tips for Success in Mathematics
- 1.2 Algebraic Expressions and Sets of Numbers
- 1.3 Operations on Real Numbers and Order of Operations
- Integrated Review—Algebraic Expressions and Operations on Whole Numbers
- 1.4 Properties of Real Numbers and Algebraic Expressions
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Equations, Inequalities, and Problem Solving
- 2.1 Linear Equations in One Variable
- 2.2 An Introduction to Problem Solving
- 2.3 Formulas and Problem Solving
- 2.4 Linear Inequalities and Problem Solving
- Integrated Review—Linear Equations and Inequalities
- 2.5 Compound Inequalities
- 2.6 Absolute Value Equations
- 2.7 Absolute Value Inequalities
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Graphs and Functions
- 3.1 Graphing Equations
- 3.2 Introduction to Functions
- 3.3 Graphing Linear Functions
- 3.4 The Slope of a Line
- 3.5 Equations of Lines
- Integrated Review—Linear Equations in Two Variables
- 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
- 3.7 Graphing Linear Inequalities
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Systems of Equations
- 4.1 Solving Systems of Linear Equations in Two Variables
- 4.2 Solving Systems of Linear Equations in Three Variables
- 4.3 Systems of Linear Equations and Problem Solving
- Integrated Review—Systems of Linear Equations
- 4.4 Solving Systems of Equations by Matrices
- 4.5 Systems of Linear Inequalities
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Exponents, Polynomials, and Polynomial Functions
- 5.1 Exponents and Scientific Notation
- 5.2 More Work with Exponents and Scientific Notation
- 5.3 Polynomials and Polynomial Functions
- 5.4 Multiplying Polynomials
- 5.5 The Greatest Common Factor and Factoring by Grouping
- 5.6 Factoring Trinomials
- 5.7 Factoring by Special Products
- Integrated Review—Operations on Polynomials and Factoring Strategies
- 5.8 Solving Equations by Factoring and Problem Solving
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Rational Expressions
- 6.1 Rational Functions and Multiplying and Dividing Rational Expressions
- 6.2 Adding and Subtracting Rational Expressions
- 6.3 Simplifying Complex Fractions
- 6.4 Dividing Polynomials: Long Division and Synthetic Division
- 6.5 Solving Equations Containing Rational Expressions
- Integrated Review—Expressions and Equations Containing Rational Expressions
- 6.6 Rational Equations and Problem Solving
- 6.7 Variation and Problem Solving
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Rational Exponents, Radicals, and Complex Numbers
- 7.1 Radicals and Radical Functions
- 7.2 Rational Exponents
- 7.3 Simplifying Radical Expressions
- 7.4 Adding, Subtracting, and Multiplying Radical Expressions
- 7.5 Rationalizing Denominators and Numerators of Radical Expressions
- Integrated Review—Radicals and Rational Exponents
- 7.6 Radical Equations and Problem Solving
- 7.7 Complex Numbers
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Quadratic Equations and Functions
- 8.1 Solving Quadratic Equations by Completing the Square
- 8.2 Solving Quadratic Equations by the Quadratic Formula
- 8.3 Solving Equations by Using Quadratic Methods
- Integrated Review—Summary on Solving Quadratic Equations
- 8.4 Nonlinear Inequalities in One Variable
- 8.5 Quadratic Functions and Their Graphs
- 8.6 Further Graphing of Quadratic Functions
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Exponential and Logarithmic Functions
- 9.1 The Algebra of Functions; Composite Functions
- 9.2 Inverse Functions
- 9.3 Exponential Functions
- 9.4 Exponential Growth and Decay Functions
- 9.5 Logarithmic Functions
- 9.6 Properties of Logarithms
- Integrated Review—Functions and Properties of Logarithms
- 9.7 Common Logarithms, Natural Logarithms, and Change of Base
- 9.8 Exponential and Logarithmic Equations and Problem Solving
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Conic Sections
- 10.1 The Parabola and the Circle
- 10.2 The Ellipse and the Hyperbola
- Integrated Review—Graphing Conic Sections
- 10.3 Solving Nonlinear Systems of Equations
- 10.4 Nonlinear Inequalities and Systems of Inequalities
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Sequences, Series, and the Binomial Theorem
- 11.1 Sequences
- 11.2 Arithmetic and Geometric Sequences
- 11.3 Series
- Integrated Review—Sequences and Series
- 11.4 Partial Sums of Arithmetic and Geometric Sequences
- 11.5 The Binomial Theorem
Appendices
- Geometry
- Stretching and Compressing Graphs of Absolute Value Functions
- Solving Systems of Equations Using Determinants
- An Introduction to Using a Graphing Utility
Student Resources Study Skills Builders Bigger Picture—Study Guide Outline Practice Final Exam
