Beginning and Intermediate Algebra: An Integrated Approach (6th Edition)

Front Cover
Title Page
Copyright
Contents
Chapter 1 Real Numbers and Their Basic Properties
1.1 Real Numbers and Their Graphs
1.2 Fractions
1.3 Exponents and Order of Operations
1.4 Adding and Subtracting Real Numbers
1.5 Multiplying and Dividing Real Numbers
1.6 Algebraic Expressions
1.7 Properties of Real Numbers
PROJECTS
CHAPTER REVIEW
CHAPTER 1 TEST
Chapter 2 Equations and Inequalities
2.1 Solving Basic Linear Equations in One Variable
2.2 Solving More Linear Equations in One Variable
2.3 Simplifying Expressions to Solve Linear Equations in One Variable
2.4 Formulas
2.5 Introduction to Problem Solving
2.6 Motion and Mixture Problems
2.7 Solving Linear Inequalities in One Variable
PROJECTS
CHAPTER REVIEW
CHAPTER 2 TEST
CUMULATIVE REVIEW EXERCISES
Chapter 3 Graphing and Solving Systems of Linear Equations and Linear Inequalities
3.1 The Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 Solving Systems of Linear Equations by Graphing
3.4 Solving Systems of Linear Equations by Substitution
3.5 Solving Systems of Linear Equations by Elimination (Addition)
3.6 Solving Applications of Systems of Linear Equations
3.7 Solving Systems of Linear Inequalities
PROJECTS
CHAPTER REVIEW
CHAPTER 3 TEST
Chapter 4 Polynomials
4.1 Natural-Number Exponents
4.2 Zero and Negative-Integer Exponents
4.3 Scientific Notation
4.4 Polynomials and Polynomial Functions
4.5 Adding and Subtracting Polynomials
4.6 Multiplying Polynomials
4.7 Dividing Polynomials by Monomials
4.8 Dividing Polynomials by Polynomials
PROJECTS
CHAPTER REVIEW
CHAPTER 4 TEST
CUMULATIVE REVIEW EXERCISES
Chapter 5 Factoring Polynomials
5.1 Factoring Out the Greatest Common Factor; Factoring by Grouping
5.2 Factoring the Difference of Two Squares
5.3 Factoring Trinomials with a Leading Coefficient of 1
5.4 Factoring General Trinomials
5.5 Factoring the Sum and Difference of Two Cubes
5.6 Summary of Factoring Techniques
5.7 Solving Equations by Factoring
5.8 Problem Solving
PROJECTS
CHAPTER REVIEW
CHAPTER 5 TEST
Chapter 6 Rational Expressions and Equations; Ratio and Proportion
6.1 Simplifying Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Simplifying Complex Fractions
6.5 Solving Equations That Contain Rational Expressions
6.6 Solving Applications of Equations That Contain Rational Expressions
6.7 Ratios
6.8 Proportions and Similar Triangles
PROJECTS
CHAPTER REVIEW
CHAPTER 6 TEST
CUMULATIVE REVIEW EXERCISES
Chapter 7 More Equations, Inequalities, and Factoring
7.1 Review of Solving Linear Equations and Inequalities in One Variable
7.2 Solving Equations in One Variable Containing Absolute Values
7.3 Solving Inequalities in One Variable Containing an Absolute-Value Term
7.4 Review of Factoring
7.5 Review of Rational Expressions
7.6 Synthetic Division
PROJECTS
CHAPTER REVIEW
CHAPTER 7 TEST
Chapter 8 Writing Equations of Lines, Functions, and Variation
8.1 A Review of the Rectangular Coordinate System
8.2 Slope of a Line
8.3 Writing Equations of Lines
8.4 A Review of Functions
8.5 Graphs of Nonlinear Functions
8.6 Variation
PROJECTS
CHAPTER REVIEW
CHAPTER 8 TEST
CUMULATIVE REVIEW EXERCISES
Chapter 9 Radicals and Rational Exponents
9.1 Radical Expressions
9.2 Applications of the Pythagorean Theorem and the Distance Formula
9.3 Rational Exponents
9.4 Simplifying and Combining Radical Expressions
9.5 Multiplying and Dividing Radical Expressions
9.6 Radical Equations
9.7 Complex Numbers
PROJECTS
CHAPTER REVIEW
CHAPTER 9 TEST
Chapter 10 Quadratic Functions, Inequalities, and Algebra of Functions
10.1 Solving Quadratic Equations Using the Square-Root Property and by Completing the Square
10.2 Solving Quadratic Equations by the Quadratic Formula
10.3 The Discriminant and Equations That Can Be Written in Quadratic Form
10.4 Graphs of Quadratic Functions
10.5 Quadratic and Other Nonlinear Inequalities
10.6 Algebra and Composition of Functions
10.7 Inverses of Functions
PROJECTS
CHAPTER REVIEW
CHAPTER 10 TEST
CUMULATIVE REVIEW EXERCISES
Chapter 11 Exponential and Logarithmic Functions
11.1 Exponential Functions
11.2 Base-e Exponential Functions
11.3 Logarithmic Functions
11.4 Natural Logarithms
11.5 Properties of Logarithms
11.6 Exponential and Logarithmic Equations
PROJECTS
CHAPTER REVIEW
CHAPTER 11 TEST
Chapter 12 Conic Sections and More Graphing
12.1 The Circle and the Parabola
12.2 The Ellipse
12.3 The Hyperbola
12.4 Piecewise-Defined Functions and the Greatest Integer Function
PROJECTS
CHAPTER REVIEW
CHAPTER 12 TEST
CUMULATIVE REVIEW EXERCISES
Chapter 13 More Systems of Equations and Inequalities
13.1 Solving Systems of Two Linear Equations or Inequalities in Two Variables
13.2 Solving Systems of Three Linear Equations in Three Variables
13.3 Solving Systems of Linear Equations Using Matrices
13.4 Solving Systems of Linear Equations Using Determinants
13.5 Solving Systems of Equations and Inequalities Containing One or More Second-Degree Terms
PROJECTS
CHAPTER REVIEW
CHAPTER 13 TEST
Chapter 14 Miscellaneous Topics
14.1 The Binomial Theorem
14.2 The nth Term of a Binomial Expansion
14.3 Arithmetic Sequences
14.4 Geometric Sequences
14.5 Infinite Geometric Sequences
14.6 Permutations and Combinations
14.7 Probability
PROJECTS
CHAPTER REVIEW
CHAPTER 14 TEST
CUMULATIVE REVIEW EXERCISES
Glossary
Appendix I: Symmetries of Graphs
Appendix II: Tables
Table A: Powers and Roots
Table B: Base-10 Logarithms
Table C: Base-e Logarithms
Appendix III: Answers to Selected Exercises
Index