A Brief Guide to Getting the Most from This Book
Preface
To The Student
About the Author
1. Variables, Real Numbers, and Mathematical Models
1.1 Introduction to Algebra: Variables and Mathematical Models
1.2 Fractions in Algebra
1.3 The Real Numbers
1.4 Basic Rules of Algebra
Mid-Chapter Check Point Section 1.1—Section 1.4
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponents and Order of Operations
Chapter 1 Group Project
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Chapter Test
2. Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Solving Linear Equations
2.4 Formulas and Percents
Mid-Chapter Check Point Section 2.1—Section 2.4
2.5 An Introduction to Problem Solving
2.6 Solving Linear Inequalities
Chapter 2 Group Project
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Cumulative Review Exercises (Chapters 1—2)
3. Problem Solving
3.1 Further Problem Solving
3.2 Ratio and Proportion
Mid-Chapter Check Point Section 3.1—Section 3.2
3.3 Problem Solving in Geometry
Chapter 3 Group Project
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Cumulative Review Exercises (Chapters 1—3)
4. Linear Equations and Inequalities in Two Variables
4.1 Graphing Linear Equations in Two Variables
4.2 Graphing Linear Equations Using Intercepts
4.3 Slope
4.4 The Slope-Intercept Form of the Equation of a Line
Mid-Chapter Check Point Section 4.1—Section 4.4
4.5 The Point-Slope Form of the Equation of a Line
4.6 Linear Inequalities in Two Variables
Chapter 4 Group Project
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Cumulative Review Exercises (Chapters 1—4)
5. Systems of Linear Equations and Inequalities
5.1 Solving Systems of Linear Equations by Graphing
5.2 Solving Systems of Linear Equations by the Substitution Method
5.3 Solving Systems of Linear Equations by the Addition Method
Mid-Chapter Check Point Section 5.1—Section 5.3
5.4 Problem Solving Using Systems of Equations
5.5 Systems of Linear Inequalities
Chapter 5 Group Project
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Cumulative Review Exercises (Chapters 1—5)
6. Exponents and Polynomials
6.1 Adding and Subtracting Polynomials
6.2 Multiplying Polynomials
6.3 Special Products
6.4 Polynomials in Several Variables
Mid-Chapter Check Point Section 6.1—Section 6.4
6.5 Dividing Polynomials
6.6 Dividing Polynomials by Binomials
6.7 Negative Exponents and Scientific Notation
Chapter 6 Group Project
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Cumulative Review Exercises (Chapters 1—6)
7. Factoring Polynomials
7.1 The Greatest Common Factor and Factoring By Grouping
7.2 Factoring Trinomials Whose Leading Coefficient Is 1
7.3 Factoring Trinomials Whose Leading Coefficient Is Not 1
Mid-Chapter Check Point Section 7.1—Section 7.3
7.4 Factoring Special Forms
7.5 A General Factoring Strategy
7.6 Solving Quadratic Equations By Factoring
Chapter 7 Group Project
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Cumulative Review Exercises (Chapters 1—7)
8. Rational Expressions
8.1 Rational Expressions and Their Simplification
8.2 Multiplying and Dividing Rational Expressions
8.3 Adding and Subtracting Rational Expressions with the Same Denominator
8.4 Adding and Subtracting Rational Expressions with Different Denominators
Mid-Chapter Check Point Section 8.1—Section 8.4
8.5 Complex Rational Expressions
8.6 Solving Rational Equations
8.7 Applications Using Rational Equations and Variation
Chapter 8 Group Project
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Cumulative Review Exercises (Chapters 1—8)
9. Roots and Radicals
9.1 Finding Roots
9.2 Multiplying and Dividing Radicals
9.3 Operations with Radicals
Mid-Chapter Check Point Section 9.1—Section 9.3
9.4 Rationalizing the Denominator
9.5 Radical Equations
9.6 Rational Exponents
Chapter 9 Group Project
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Cumulative Review Exercises (Chapters 1—9)
10. Quadratic Equations and Introduction to Functions
10.1 Solving Quadratic Equations by the Square Root Property
10.2 Solving Quadratic Equations by Completing the Square
10.3 The Quadratic Formula
Mid-Chapter Check Point Section 10.1—Section 10.3
10.4 Imaginary Numbers as Solutions of Quadratic Equations
10.5 Graphs of Quadratic Equations
10.6 Introduction to Functions
Chapter 10 Group Project
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Cumulative Review Exercises (Chapters 1—10)
Appendix: Mean, Median, and Mode
Answers to Selected Exercises
Graphing Answer Section
Applications Index
Subject Index
Photo Credits