Description
The Tobey/Slater/Blair/Crawford series builds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical “building block” organization makes it easy for students to understand each topic and gain confidence as they move through each section. Students will find many opportunities to check and reinforce their understanding of concepts throughout the text. With this revision, the author team has added a new Math Coach feature that provides students with an office hour experience by helping them to avoid commonly made mistakes. With Tobey/Slater/Blair/Crawford, students have a tutor, a study companion, and now a coach, with them every step of the way.
Table of Contents
Preface
Diagnostic Pretest
1. Basic Concepts
1.1 The Real Number System
1.2 Operations with Real Numbers
1.3 Powers, Square Roots, and the Order of Operations
How Am I Doing? Sections 1.1–1.3
1.4 Integer Exponents and Scientific Notation
1.5 Operations with Variables and Grouping Symbols
1.6 Evaluating Variable Expressions and Formulas
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Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
Math Coach
2. Linear Equations and Inequalities
2.1 First-Degree Equations with One Unknown
2.2 Literal Equations and Formulas
2.3 Absolute Value Equations
2.4 Using Equations to Solve Word Problems
How Am I Doing? Sections 2.1–2.4
2.5 Solving More-Involved Word Problems
2.6 Linear Inequalities
2.7 Compound Inequalities
2.8 Absolute Value Inequalities
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Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
Math Coach
3. Equations and Inequalities in Two Variables and Functions
3.1 Graphing Linear Equations with Two Unknowns
3.2 Slope of a Line
3.3 Graphs and the Equations of a Line
How Am I Doing? Sections 3.1–3.3
3.4 Linear Inequalities in Two Variables
3.5 Concept of a Function
3.6 Graphing Functions from Equations and Tables of Data
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Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
Math Coach
Cumulative Test for Chapters 1–3
4. Systems of Linear Equations and Inequalities
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
How Am I Doing? Sections 4.1–4.2
4.3 Applications of Systems of Linear Equations
4.4 Systems of Linear Inequalities
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Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
Math Coach
5. Polynomials
5.1 Introduction to Polynomials and Polynomial Functions: Adding, Subtracting, and Multiplying
5.2 Dividing Polynomials
5.3 Synthetic Division
5.4 Removing Common Factors; Factoring by Grouping
5.5 Factoring Trinomials
How Am I Doing? Sections 5.1–5.5
5.6 Special Cases of Factoring
5.7 Factoring a Polynomial Completely
5.8 Solving Equations and Applications Using Polynomials
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Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Math Coach
6. Rational Expressions and Equations
6.1 Rational Expressions and Functions: Simplifying, Multiplying, and Dividing
6.2 Adding and Subtracting Rational Expressions
6.3 Complex Rational Expressions
How Am I Doing? Sections 6.1–6.3
6.4 Rational Equations
6.5 Applications: Formulas and Advanced Ratio Exercises
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Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
Math Coach
Cumulative Test for Chapters 1–6
7. Rational Exponents and Radicals
7.1 Rational Exponents
7.2 Radical Expressions and Functions
7.3 Simplifying, Adding, and Subtracting Radicals
7.4 Multiplying and Dividing Radicals
How Am I Doing? Sections 7.1–7.4
7.5 Radical Equations
7.6 Complex Numbers
7.7 Variation
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Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Math Coach
8. Quadratic Equations and Inequalities
8.1 Quadratic Equations
8.2 The Quadratic Formula and Solutions to Quadratic Equations
8.3 Equations That Can Be Transformed into Quadratic Form
How Am I Doing? Sections 8.1–8.3
8.4 Formulas and Applications
8.5 Quadratic Functions
8.6 Quadratic Inequalities in One Variable
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Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
Math Coach
9. The Conic Sections
9.1 The Distance Formula and the Circle
9.2 The Parabola
9.3 The Ellipse
How Am I Doing? Sections 9.1–9.3
9.4 The Hyperbola
9.5 Nonlinear Systems of Equations
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Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
Math Coach
10. Additional Properties of Functions
10.1 Function Notation
10.2 General Graphing Procedures for Functions
How Am I Doing? Sections 10.1–10.2
10.3 Algebraic Operations on Functions
10.4 Inverse of a Function
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Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
Math Coach
11. Logarithmic and Exponential Functions
11.1 The Exponential Function
11.2 The Logarithmic Function
11.3 Properties of Logarithms
How Am I Doing? Sections 11.1–11.3
11.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms
11.5 Exponential and Logarithmic Equations
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Chapter 11 Organizer
Chapter 11 Review Problems
How Am I Doing? Chapter 11 Test
Math Coach
Practice Final Examination
Appendix A: Tables
Table A-1: Table of Square Roots
Table A-2: Table of Exponential Values
Appendix B: Determinants and Cramer's Rule
Appendix C: Solving Systems of Linear Equations Using Matrices
Solutions to Practice Problems
Answers to Selected Exercises
Glossary
Applications Index (Available in MyMathLab)
Index
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John Jr Tobey, Jeffrey Slater, Jamie Blair, Jennifer Crawford
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