Intermediate Algebra for College Students (7th Edition)

Cover
Title Page
Copyright Page
Acknowledgments
Table of Contents
Preface
To the Student
About the Author
1 Algebra, Mathematical Models, and Problem Solving
	1.1 Algebraic Expressions, Real Numbers, and Interval Notation
	1.2 Operations with Real Numbers and Simplifying Algebraic Expressions
	1.3 Graphing Equations
	1.4 Solving Linear Equations
	Mid-Chapter Check Point—Section 1.1–Section 1.4
	1.5 Problem Solving and Using Formulas
	1.6 Properties of Integral Exponents
	1.7 Scienti˜c Notation
	Chapter 1 Summary
	Chapter 1 Review Exercises
	Chapter 1 Test
2 Functions and Linear Functions
	2.1 Introduction to Functions
	2.2 Graphs of Functions
	2.3 The Algebra of Functions
	Mid-Chapter Check Point—Section 2.1–Section 2.3
	2.4 Linear Functions and Slope
	2.5 The Point-Slope Form of the Equation of a Line
	Chapter 2 Summary
	Chapter 2 Review Exercises
	Chapter 2 Test
	Cumulative Review Exercises (Chapters 1–2)
3 Systems of Linear Equations
	3.1 Systems of Linear Equations in Two Variables
	3.2 Problem Solving and Business Applications Using Systems of Equations
	3.3 Systems of Linear Equations in Three Variables
	Mid-Chapter Check Point—Section 3.1–Section 3.3
	3.4 Matrix Solutions to Linear Systems
	3.5 Determinants and Cramer’s Rule
	Chapter 3 Summary
	Chapter 3 Review Exercises
	Chapter 3 Test
	Cumulative Review Exercises (Chapters 1–3)
4 Inequalities and Problem Solving
	4.1 Solving Linear Inequalities
	4.2 Compound Inequalities
	4.3 Equations and Inequalities Involving Absolute Value
	Mid-Chapter Check Point—Section 4.1–Section 4.3
	4.4 Linear Inequalities in Two Variables
	4.5 Linear Programming
	Chapter 4 Summary
	Chapter 4 Review Exercises
	Chapter 4 Test
	Cumulative Review Exercises (Chapters 1–4)
5 Polynomials, Polynomial Functions, and Factoring
	5.1 Introduction to Polynomials and Polynomial Functions
	5.2 Multiplication of Polynomials
	5.3 Greatest Common Factors and Factoring by Grouping
	5.4 Factoring Trinomials
	Mid-Chapter Check Point—Section 5.1–Section 5.4
	5.5 Factoring Special Forms
	5.6 A General Factoring Strategy
	5.7 Polynomial Equations and Their Applications
	Chapter 5 Summary
	Chapter 5 Review Exercises
	Chapter 5 Test
	Cumulative Review Exercises (Chapters 1–5)
6 Rational Expressions, Functions, and Equations
	6.1 Rational Expressions and Functions: Multiplying and Dividing
	6.2 Adding and Subtracting Rational Expressions
	6.3 Complex Rational Expressions
	6.4 Division of Polynomials
	Mid-Chapter Check Point—Section 6.1–Section 6.4
	6.5 Synthetic Division and the Remainder Theorem
	6.6 Rational Equations
	6.7 Formulas and Applications of Rational Equations
	6.8 Modeling Using Variation
	Chapter 6 Summary
	Chapter 6 Review Exercises
	Chapter 6 Test
	Cumulative Review Exercises (Chapters 1–6)
7 Radicals, Radical Functions, and Rational Exponents
	7.1 Radical Expressions and Functions
	7.2 Rational Exponents
	7.3 Multiplying and Simplifying Radical Expressions
	7.4 Adding, Subtracting, and Dividing Radical Expressions
	Mid-Chapter Check Point—Section 7.1–Section 7.4
	7.5 Multiplying with More Than One Term and Rationalizing Denominators
	7.6 Radical Equations
	7.7 Complex Numbers
	Chapter 7 Summary
	Chapter 7 Review Exercises
	Chapter 7 Test
	Cumulative Review Exercises (Chapters 1–7)
8 Quadratic Equations and Functions
	8.1 The Square Root Property and Completing the Square
	8.2 The Quadratic Formula
	8.3 Quadratic Functions and Their Graphs
	Mid-Chapter Check Point—Section 8.1–Section 8.3
	8.4 Equations Quadratic in Form
	8.5 Polynomial and Rational Inequalities
	Chapter 8 Summary
	Chapter 8 Review Exercises
	Chapter 8 Test
	Cumulative Review Exercises (Chapters 1–8)
9 Exponential and Logarithmic Functions
	9.1 Exponential Functions
	9.2 Composite and Inverse Functions
	9.3 Logarithmic Functions
	9.4 Properties of Logarithms
	Mid-Chapter Check Point—Section 9.1–Section 9.4
	9.5 Exponential and Logarithmic Equations
	9.6 Exponential Growth and Decay; Modeling Data
	Chapter 9 Summary
	Chapter 9 Review Exercises
	Chapter 9 Test
	Cumulative Review Exercises (Chapters 1–9)
10 Conic Sections and Systems of Nonlinear Equations
	10.1 Distance and Midpoint Formulas; Circles
	10.2 The Ellipse
	10.3 The Hyperbola
	Mid-Chapter Check Point—Section 10.1–Section 10.3
	10.4 The Parabola; Identifying Conic Sections
	10.5 Systems of Nonlinear Equations in Two Variables
	Chapter 10 Summary
	Chapter 10 Review Exercises
	Chapter 10 Test
	Cumulative Review Exercises (Chapters 1–10)
11 Sequences, Series, and the Binomial Theorem
	11.1 Sequences and Summation Notation
	11.2 Arithmetic Sequences
	11.3 Geometric Sequences and Series
	Mid-Chapter Check Point—Section 11.1–Section 11.3
	11.4 The Binomial Theorem
	Chapter 11 Summary
	Chapter 11 Review Exercises
	Chapter 11 Test
	Cumulative Review Exercises (Chapters 1–11)
Appendix Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Applications Index
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Subject Index
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Photo Credits