Description
Book SynopsisMarge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but af
Table of Contents
Table of Contents
- R. Prealgebra Review
- R.1 Fractions
- R.2 Decimals and Percents
- Study Skills Using Your Math Text
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The Real Number System
- 1.1 Exponents, Order of Operations, and Inequality
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Study Skills Taking Lecture Notes
- 1.2 Variables, Expressions, and Equations
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Study Skills Reading Your Math Text
- 1.3 Real Numbers and the Number Line
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Study Skills Using Study Cards
- 1.4 Adding Real Numbers
- 1.5 Subtracting Real Numbers
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Study Skills Completing Your Homework
- 1.6 Multiplying and Dividing Real Numbers
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Summary Exercises Performing Operations with Real Numbers
- 1.7 Properties of Real Numbers
- 1.8 Simplifying Expressions
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Study Skills Reviewing a Chapter
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Equations, Inequalities, and Applications
- 2.1 The Addition Property of Equality
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Study Skills Managing Your Time
- 2.2 The Multiplication Property of Equality
- 2.3 More on Solving Linear Equations
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Study Skills Using Study Cards Revisited
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Summary Exercises Applying Methods for Solving Linear Equations
- 2.4 An Introduction to Applications of Linear Equations
- 2.5 Formulas and Additional Applications from Geometry
- 2.6 Ratio, Proportion, and Percent
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Summary Exercises Applying Problem-Solving Techniques
- 2.7 Solving Linear Inequalities
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Study Skills Taking Math Tests
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Graphs of Linear Equations and Inequalities in Two Variables
- 3.1 Linear Equations and Rectangular Coordinates
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Study Skills Analyzing Your Test Results
- 3.2 Graphing Linear Equations in Two Variables
- 3.3 The Slope of a Line
- 3.4 Slope-Intercept Form of a Linear Equation
- 3.5 Point-Slope Form of a Linear Equation and Modeling
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Summary Exercises Applying Graphing and
- Equation-Writing Techniques for Lines
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Study Skills Preparing for Your Math Final Exam
- 3.6 Graphing Linear Inequalities in Two Variables
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Systems of Linear Equations and Inequalities
- 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 Elimination
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Summary Exercises Applying Techniques for Solving Systems of Linear Equations
- 4.4 Applications of Linear Systems
- 4.5 Solving Systems of Linear Inequalities
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Exponents and Polynomials
- 5.1 The Product Rule and Power Rules for Exponents
- 5.2 Integer Exponents and the Quotient Rule
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Summary Exercises Applying the Rules for Exponents
- 5.3 An Application of Exponents: Scientific Notation
- 5.4 Adding and Subtracting Polynomials
- 5.5 Multiplying Polynomials
- 5.6 Special Products
- 5.7 Dividing a Polynomial by a Monomial
- 5.8 Dividing a Polynomial by a Polynomial
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Factoring and Applications
- 6.1 Greatest Common Factors; Factor by Grouping
- 6.2 Factoring Trinomials
- 6.3 Factoring Trinomials by Grouping
- 6.4 Factoring Trinomials Using the FOIL Method
- 6.5 Special Factoring Techniques
- 6.6 A General Approach to Factoring
- 6.7 Solving Quadratic Equations Using the Zero-Factor Property
- 6.8 Applications of Quadratic Equations
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Rational Expressions and Applications
- 7.1 The Fundamental Property of Rational Expressions
- 7.2 Multiplying and Dividing Rational Expressions
- 7.3 Least Common Denominators
- 7.4 Adding and Subtracting Rational Expressions
- 7.5 Complex Fractions
- 7.6 Solving Equations with Rational Expressions
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Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations
- 7.7 Applications of Rational Expressions
- 7.8 Variation
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Equations, Inequalities, Graphs, and Systems Revisited
- 8.1 Review of Solving Linear Equations and Inequalities in one Variable
- 8.2 Set Operations and Compound Inequalities
- 8.3 Absolute Value Equations and Inequalities
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Summary Exercises Solving Linear and Absolute Value Equations and Inequalities
- 8.4 Review of Graphing Linear Equations in Two Variables; Slope
- 8.6 Systems of Linear Equations in Three Variables; Applications
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Relations and Functions
- 9.1 Introduction to Relations and Functions
- 9.2 Function Notation and Linear Functions
- 9.3 Polynomial Functions, Operations, and Graphs
- 9.4 Variation
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Roots, Radicals, and Root Functions
- 10.1 Radical Expressions and Graphs
- 10.2 Rational Exponents
- 10.3 Simplifying Radical Expressions
- 10.4 Adding and Subtracting Radical Expressions
- 10.5 Multiplying and Dividing Radical Expressions
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Summary Exercises Performing Operations with Radicals and Rational Exponents
- 10.6 Solving Equations with Radicals
- 10.7 Complex Numbers
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Quadratic Equations, Inequalities, and Functions
- 11.1 Solving Quadratic Equations by the Square Root Property
- 11.2 Solving Quadratic Equations by Completing the Square
- 11.3 Solving Quadratic Equations by the Quadratic Formula
- 11.4 Equations Quadratic in Form
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Summary Exercises Applying Methods for Solving Quadratic Equations
- 11.5 Formulas and Further Applications
- 11.6 Graphs of Quadratic Functions
- 11.7 More about Parabolas and Their Applications
- 11.8 Polynomial and Rational Inequalities
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Inverse, Exponential, and Logarithmic Functions
- 12.1 Composition of Functions
- 12.2 Inverse Functions
- 12.3 Exponential Functions
- 12.4 Logarithmic Functions
- 12.5 Properties of Logarithms
- 12.6 Common and Natural Logarithms
- 12.7 Exponential and Logarithmic Equations and Their Applications
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Nonlinear Functions, Conic Sections, and Nonlinear Systems
- 13.1 Additional Graphs of Functions
- 13.2 Circles and Ellipses
- 13.3 Hyperbolas and Functions Defined by Radicals
- 13.4 Nonlinear Systems of Equations
- 13.5 Second-Degree Inequalities and Systems of Inequalities
Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra) Appendix B: Synthetic Division Appendix C: Solving Systems of Linear Equations by Matrix Methods Answers to Selected Exercises Index
