How Am I Doing? Guide to Math Success (inside front cover)
To the Student
Preface
Acknowledgments
Diagnostic Pretest
CH. 0 - PREALGEBRA REVIEW
0.1 Simplifying Fractions
0.2 Adding and Subtracting Fractions
0.3 Multiplying and Dividing Fractions
How Am I Doing? Sections 0.1—0.3
0.4 Using Decimals
0.5 Percents, Rounding, and Estimating
Chapter 0 Organizer
Chapter 0 Review Problems
How Am I Doing? Chapter 0 Test
CH. 1 - REAL NUMBERS AND VARIABLES
1.1 Adding Real Numbers
1.2 Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Exponents
1.5 The Order of Operations
How Am I Doing? Sections 1.1—1.5
1.6 Using the Distributive Property to Simplify Algebraic Expressions
1.7 Combining Like Terms
1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas
1.9 Grouping Symbols
Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
CH. 2 — EQUATIONS, INEQUALITIES, AND APPLICATIONS
2.1 The Addition Principle of Equality
2.2 The Multiplication Principle of Equality
2.3 Using the Addition and Multiplication Principles Together
2.4 Solving Equations with Fractions
How Am I Doing? Sections 2.1—2.4
2.5 Translating English Phrases into Algebraic Expressions
2.6 Using Equations to Solve Word Problems
2.7 Solving Word Problems Using Geometric Formulas
2.8 Solving Inequalities in One Variable
Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
Cumulative Test for Chapters 0—2
CH. 3 - GRAPHING AND FUNCTIONS
3.1 The Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 The Slope of a Line
How Am I Doing? Sections 3.1—3.3
3.4 Writing the Equation of a Line
3.5 Graphing Linear Inequalities
3.6 Functions
Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
Cumulative Test for Chapters 0—3
CH. 4 - SYSTEMS OF EQUATIONS
4.1 Solving a System of Equations in Two Variables by Graphing
4.2 Solving a System of Equations in Two Variables by the Substitution Method
4.3 Solving a System of Equations in Two Variables by the Addition Method
How Am I Doing? Sections 4.1—4.3
4.4 Review of Methods for Solving Systems of Equations
4.5 Solving Word Problems Using Systems of EquationsChapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
Cumulative Test for Chapters 0—4
CH. 5 - EXPONENTS AND POLYNOMIALS
5.1 The Rules of Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Fundamental Polynomial Operations
How Am I Doing? Sections 5.1—5.3
5.4 Multiplying Polynomials
5.5 Multiplication: Special Cases
5.6 Dividing Polynomials
Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Cumulative Test for Chapters 0—5
CH. 6 - FACTORING
6.1 Removing a Common Factor
6.2 Factoring by Grouping
6.3 Factoring Trinomials of the Form x^{2} + bx + c
6.4 Factoring Trinomials of the Form ax^{2} + bx + c
How Am I Doing? Sections 6.1—6.4
6.5 Special Cases of Factoring
6.6 A Brief Review of Factoring
6.7 Solving Quadratic Equations by Factoring
Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
Cumulative Test for Chapters 0—6
CH. 7 - RATIONAL EXPRESSIONS AND EQUATIONS
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions
How Am I Doing? Sections 7.1—7.3
7.4 Simplifying Complex Rational Expressions
7.5 Solving Equations Involving Rational Expressions
7.6 Ratio, Proportion, and Other Applied Problems
Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Cumulative Test for Chapters 0—7
CH. 8 - RADICALS
8.1 Square Roots
8.2 Simplifying Radical Expressions
8.3 Adding and Subtracting Radical Expressions
8.4 Multiplying Radical Expressions
How Am I Doing? Sections 8.1—8.4
8.5 Dividing Radical Expressions
8.6 The Pythagorean Theorem and Radical Equations
8.7 Word Problems Involving Radicals: Direct and Inverse Variation
Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
Cumulative Test for Chapters 0—8
CH. 9 - QUADRATIC EQUATIONS
9.1 Introduction to Quadratic Equations
9.2 Using the Square Root Property and Completing the Square to Find Solutions
9.3 Using the Quadratic Formula to Find Solutions
How Am I Doing? Sections 9.1—9.3
9.4 Graphing Quadratic Equations
9.5 Formulas and Applied Problems
Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
Cumulative Test for Chapters 0—9
Practice Final Examination
Glossary
Appendix A: Table of Square Roots
Appendix B: Mathematics Blueprint for Problem Solving
Appendix C: Practice with Operations of Whole Numbers
Appendix D: The Point-Slope Form of a Line
Solutions to Practice Problems
Answers to Selected Exercises
Applications Index
Index
Photo Credits