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
0. Prealgebra Review
0.1 Simplifying Fractions
0.2 Adding and Subtracting Fractions
0.3 Multiplying and Dividing Fractions
0.4 Using Decimals
How Am I Doing? Sections 0.1–0.4
0.5 Percents, Rounding, and Estimating
0.6 Using the Mathematics Blueprint for Problem Solving
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Chapter 0 Organizer
Chapter 0 Review Problems
How Am I Doing? Chapter 0 Test
Math Coach
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
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Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
Math Coach
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: The Value of Money and Percents
2.8 Solving Inequalities in One Variable
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Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
Math Coach
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
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Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
Math Coach
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
4.5 Solving Word Problems Using Systems of Equations
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Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
Math Coach
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
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Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Math Coach
6. Factoring
6.1 Removing a Common Factor
6.2 Factoring by Grouping
6.3 Factoring Trinomials of the Form x2 + bx + c
6.4 Factoring Trinomials of the Form ax2 + 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
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Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
Math Coach
Cumulative Test for Chapters 0–6
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
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Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Math Coach
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
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Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
Math Coach
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
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Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
Math Coach
Practice Final Examination
Appendix A: Table of Square Roots
Appendix B: Practice with Operations of Whole Numbers
Appendix C: The Point–Slope Form of a Line
Solutions to Practice Problems
Answers to Selected Exercises
Glossary
Subject Index
Photo Credits
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