Intermediate Algebra

Front Cover
Title Page
Copyright
Contents
Study Skills Workshop
CHAPTER 1 A Review of Basic Algebra
	1.1 The Language of Algebra
	1.2 The Real Numbers
	1.3 Operations with Real Numbers
	1.4 Simplifying Algebraic Expressions Using Properties of Real Numbers
	1.5 Solving Linear Equations Using Properties of Equality
	1.6 Solving Formulas; Geometry
	1.7 Using Equations to Solve Problems
	1.8 More about Problem Solving
	THINK IT THROUGH: Fastest Growing Occupations
	Chapter Summary and Review
	Chapter Test
CHAPTER 2 Graphs, Equations of Lines, and Functions
	2.1 The Rectangular Coordinate System
	2.2 Graphing Linear Equations
	2.3 Rate of Change and the Slope of a Line
	THINK IT THROUGH: Community Colleges
	2.4 Writing Equations of Lines
	2.5 An Introduction to Functions
	THINK IT THROUGH: Cost of Hiring
	2.6 Graphs of Functions
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 3 Systems of Equations
	3.1 Solving Systems of Equations by Graphing
	THINK IT THROUGH: Bachelor\'s Degrees
	3.2 Solving Systems of Equations Algebraically
	3.3 Problem Solving Using Systems of Two Equations
	3.4 Solving Systems of Equations in Three Variables
	3.5 Problem Solving Using Systems of Three Equations
	3.6 Solving Systems of Equations Using Matrices
	3.7 Solving Systems of Equations Using Determinants
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 4 Inequalities
	4.1 Solving Linear Inequalities in One Variable
	THINK IT THROUGH: Changing Values
	4.2 Solving Compound Inequalities
	THINK IT THROUGH: Study Abroad
	4.3 Solving Absolute Value Equations and Inequalities
	4.4 Linear Inequalities in Two Variables
	4.5 Systems of Linear Inequalities
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 5 Exponents, Polynomials, and Polynomial Functions
	5.1 Exponents
	5.2 Scientific Notation
	THINK IT THROUGH: The American Educational System
	5.3 Polynomials and Polynomial Functions
	5.4 Multiplying Polynomials
	5.5 The Greatest Common Factor and Factoring by Grouping
	5.6 The Difference of Two Squares; the Sum and Difference of Two Cubes
	5.7 Factoring Trinomials
	5.8 Summary of Factoring Techniques
	5.9 Solving Equations by Factoring
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 6 Rational Expressions and Equations
	6.1 Rational Functions and Simplifying Rational Expressions
	THINK IT THROUGH: Learning and Remembering
	6.2 Multiplying and Dividing Rational Expressions
	6.3 Adding and Subtracting Rational Expressions
	6.4 Simplifying Complex Fractions
	6.5 Dividing Polynomials
	6.6 Synthetic Division
	6.7 Solving Rational Equations
	6.8 Problem Solving Using Rational Equations
	6.9 Proportion and Variation
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 7 Radical Expressions, Equations, and Functions
	7.1 Radical Expressions and Radical Functions
	7.2 Simplifying and Combining Radical Expressions
	7.3 Multiplying and Dividing Radical Expressions
	7.4 Solving Radical Equations
	7.5 Rational Exponents
	7.6 Geometric Applications of Radicals
	THINK IT THROUGH: Pythagorean Triples
	7.7 Complex Numbers
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 8 Quadratic Equations, Functions, and Inequalities
	8.1 The Square Root Property and Completing the Square
	8.2 The Quadratic Formula
	8.3 Quadratic Functions and Their Graphs
	THINK IT THROUGH: Automobile Accidents
	8.4 The Discriminant and Equations That Can Be Written in Quadratic Form
	8.5 Quadratic and Other Nonlinear Inequalities
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 9 Exponential and Logarithmic Functions
	9.1 Algebra and Composition of Functions
	THINK IT THROUGH: Black Colleges and Universities
	9.2 Inverse Functions
	9.3 Exponential Functions
	9.4 Base-e Exponential Functions
	9.5 Logarithmic Functions
	9.6 Base-e Logarithmic Functions
	9.7 Properties of Logarithms
	9.8 Exponential and Logarithmic Equations
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
CHAPTER 10 Conic Sections; More Graphing
	10.1 The Circle and the Parabola
	THINK IT THROUGH: Ultimate Frisbee
	10.2 The Ellipse
	10.3 The Hyperbola
	10.4 Solving Nonlinear Systems of Equations
	Chapter Summary and Review
	Chapter Test
	Cumulative Review
APPENDIX I: Roots and Powers
APPENDIX II: Answers to Selected Exercises
Index