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 and its MyMathLab course. 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. Features + Benefits
Students will find many opportunities to check and reinforce their understanding of concepts throughout each chapter:
Student Practice problems are paired with every example in the text. The full solutions to each practice problem are located in the back of the text, allowing students to check their work as they go.
The “How Am I Doing?” mid-chapter review exercises let students pause at a critical juncture to make sure they are "getting it."
End-of-Section Exercises progress from basic to challenging, and each exercise set includes Verbal and Writing Skills, and Mixed Practice exercises.
A Quick Quiz at the end of each exercise set contains three problems that cover the essential content of that section. This simple assessment tool measures whether students know when they are ready for new material, and when they need further review.
A Concept Check question at the end of each Quick Quiz asks students to explain how and why a method works in their own words, forcing students to analyze problems and reflect on the mathematical concepts.
Classroom Quizzes in the Annotated Instructor's Edition parallel every Quick Quiz, which allows instructors to quickly assess the understanding of the class at any point in the chapter.
The End-of-Chapter Material provides several opportunities for review and reinforcement of key concepts:
Updated! Chapter Organizers summarize the chapter topics, procedures, and corresponding examples all in one place to simplify chapter review. A ”You Try It” column has been added to Chapter Organizers to provide another opportunity for practice!
NEW! Assessment Check boxes on the “How Am I Doing?” Chapter Test encourage students to check their work. If students need extra help on any test problems, they can watch the Chapter Test Prep Videos, where all test solutions are worked out on video.
NEW! The Math Coach follows every chapter test and provides helpful hints and coaching on the most difficult concepts and exercise types in that particular chapter. Examples similar to the Math Coach problems have been noted throughout the chapter with side-by-side examples and practice problems that encourage students to try the practice problem on the spot. Students can have an office hour with the authors when they watch the authors solve these key problem types on the New Math Coach Videos.
The Chapter Test Prep and Math Coach Videos are available in MyMathLab and on YouTube.
Use Math to Save Money features practical, realistic examples in every chapter of how students can use math to cut costs and spend less. Topics have been updated based on a student survey of more than 1,000 developmental math colleges.
Preface
Diagnostic Pretest
0. A Brief Review of Arithmetic Skills
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
Use Math to Save Money
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
Use Math to Save Money
Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
Math Coach
2. Equations and Inequalities
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 Formulas
2.6 Solving Inequalities in One Variable
Use Math to Save Money
Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
Math Coach
3. Solving Applied Problems
3.1 Translating English Phrases into Algebraic Expressions
3.2 Using Equations to Solve Word Problems
3.3 Solving Word Problems: Comparisons
How Am I Doing? Sections 3.1—3.3
3.4 Solving Word Problems: The Value of Money and Percents
3.5 Solving Word Problems Using Geometric Formulas
3.6 Using Inequalities to Solve Word Problems
Use Math to Save Money
Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
Math Coach
Cumulative Test for Chapters 0—3
4. Exponents and Polynomials
4.1 The Rules of Exponents
4.2 Negative Exponents and Scientific Notation
4.3 Fundamental Polynomial Operations
How Am I Doing? Sections 4.1—4.3
4.4 Multiplying Polynomials
4.5 Multiplication: Special Cases
4.6 Dividing Polynomials
Use Math to Save Money
Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
Math Coach
5. Factoring
5.1 Removing a Common Factor
5.2 Factoring by Grouping
5.3 Factoring Trinomials of the Form x2 + bx + c
5.4 Factoring Trinomials of the Form ax2 + bx + c
How Am I Doing? Sections 5.1—5.4
5.5 Special Cases of Factoring
5.6 A Brief Review of Factoring
5.7 Solving Quadratic Equations by Factoring
Use Math to Save Money
Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Math Coach
6. Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
How Am I Doing? Sections 6.1—6.3
6.4 Simplifying Complex Rational Expressions
6.5 Solving Equations Involving Rational Expressions
6.6 Ratio, Proportion, and Other Applied Problems
Use Math to Save Money
Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
Math Coach
Cumulative Test for Chapters 0—6
7. Graphing and Functions
7.1 The Rectangular Coordinate System
7.2 Graphing Linear Equations
7.3 The Slope of a Line
How Am I Doing? Sections 7.1—7.3
7.4 Writing the Equation of a Line
7.5 Graphing Linear Inequalities
7.6 Functions
Use Math to Save Money
Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Math Coach
8. Systems of Equations
8.1 Solving a System of Equations in Two Variables by Graphing
8.2 Solving a System of Equations in Two Variables by the Substitution Method
8.3 Solving a System of Equations in Two Variables by the Addition Method
How Am I Doing? Sections 8.1—8.3
8.4 Review of Methods for Solving Systems of Equations
8.5 Solving Word Problems Using Systems of Equations
Use Math to Save Money
Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
Math Coach
9. Radicals
9.1 Square Roots
9.2 Simplifying Radical Expressions
9.3 Adding and Subtracting Radical Expressions
9.4 Multiplying Radical Expressions
How Am I Doing? Sections 9.1—9.4
9.5 Dividing Radical Expressions
9.6 The Pythagorean Theorem and Radical Equations
9.7 Word Problems Involving Radicals: Direct and Inverse Variation
Use Math to Save Money
Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
Math Coach
10. Quadratic Equations
10.1 Introduction to Quadratic Equations
10.2 Using the Square Root Property and Completing the Square to Find Solutions
10.3 Using the Quadratic Formula to Find Solutions
How Am I Doing? Sections 10.1—10.3
10.4 Graphing Quadratic Equations
10.5 Formulas and Applied Problems
Use Math to Save Money
Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
Math Coach
Practice Final Examination
Solutions to Practice Problems
Answers to Selected Exercises
Glossary
Subject Index
Photo Credits
Index of Applications (Available in MyMathLab)
Students will find many opportunities to check and reinforce their understanding of concepts throughout each chapter:
Student Practice problems are paired with every example in the text. The full solutions to each practice problem are located in the back of the text, allowing students to check their work as they go.
The “How Am I Doing?” mid-chapter review exercises let students pause at a critical juncture to make sure they are "getting it."
End-of-Section Exercises progress from basic to challenging, and each exercise set includes Verbal and Writing Skills, and Mixed Practice exercises.
A Quick Quiz at the end of each exercise set contains three problems that cover the essential content of that section. This simple assessment tool measures whether students know when they are ready for new material, and when they need further review.
A Concept Check question at the end of each Quick Quiz asks students to explain how and why a method works in their own words, forcing students to analyze problems and reflect on the mathematical concepts.
Classroom Quizzes in the Annotated Instructor's Edition parallel every Quick Quiz, which allows instructors to quickly assess the understanding of the class at any point in the chapter.
The End-of-Chapter Material provides several opportunities for review and reinforcement of key concepts:
Updated! Chapter Organizers summarize the chapter topics, procedures, and corresponding examples all in one place to simplify chapter review. A ”You Try It” column has been added to Chapter Organizers to provide another opportunity for practice!
NEW! Assessment Check boxes on the “How Am I Doing?” Chapter Test encourage students to check their work. If students need extra help on any test problems, they can watch the Chapter Test Prep Videos, where all test solutions are worked out on video.
NEW! The Math Coach follows every chapter test and provides helpful hints and coaching on the most difficult concepts and exercise types in that particular chapter. Examples similar to the Math Coach problems have been noted throughout the chapter with side-by-side examples and practice problems that encourage students to try the practice problem on the spot. Students can have an office hour with the authors when they watch the authors solve these key problem types on the New Math Coach Videos.
The Chapter Test Prep and Math Coach Videos are available in MyMathLab and on YouTube.
Use Math to Save Money features practical, realistic examples in every chapter of how students can use math to cut costs and spend less. Topics have been updated based on a student survey of more than 1,000 developmental math colleges.
Preface
Diagnostic Pretest
0. A Brief Review of Arithmetic Skills
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
Use Math to Save Money
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
Use Math to Save Money
Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
Math Coach
2. Equations and Inequalities
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 Formulas
2.6 Solving Inequalities in One Variable
Use Math to Save Money
Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
Math Coach
3. Solving Applied Problems
3.1 Translating English Phrases into Algebraic Expressions
3.2 Using Equations to Solve Word Problems
3.3 Solving Word Problems: Comparisons
How Am I Doing? Sections 3.1—3.3
3.4 Solving Word Problems: The Value of Money and Percents
3.5 Solving Word Problems Using Geometric Formulas
3.6 Using Inequalities to Solve Word Problems
Use Math to Save Money
Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
Math Coach
Cumulative Test for Chapters 0—3
4. Exponents and Polynomials
4.1 The Rules of Exponents
4.2 Negative Exponents and Scientific Notation
4.3 Fundamental Polynomial Operations
How Am I Doing? Sections 4.1—4.3
4.4 Multiplying Polynomials
4.5 Multiplication: Special Cases
4.6 Dividing Polynomials
Use Math to Save Money
Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
Math Coach
5. Factoring
5.1 Removing a Common Factor
5.2 Factoring by Grouping
5.3 Factoring Trinomials of the Form x2 + bx + c
5.4 Factoring Trinomials of the Form ax2 + bx + c
How Am I Doing? Sections 5.1—5.4
5.5 Special Cases of Factoring
5.6 A Brief Review of Factoring
5.7 Solving Quadratic Equations by Factoring
Use Math to Save Money
Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Math Coach
6. Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
How Am I Doing? Sections 6.1—6.3
6.4 Simplifying Complex Rational Expressions
6.5 Solving Equations Involving Rational Expressions
6.6 Ratio, Proportion, and Other Applied Problems
Use Math to Save Money
Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
Math Coach
Cumulative Test for Chapters 0—6
7. Graphing and Functions
7.1 The Rectangular Coordinate System
7.2 Graphing Linear Equations
7.3 The Slope of a Line
How Am I Doing? Sections 7.1—7.3
7.4 Writing the Equation of a Line
7.5 Graphing Linear Inequalities
7.6 Functions
Use Math to Save Money
Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Math Coach
8. Systems of Equations
8.1 Solving a System of Equations in Two Variables by Graphing
8.2 Solving a System of Equations in Two Variables by the Substitution Method
8.3 Solving a System of Equations in Two Variables by the Addition Method
How Am I Doing? Sections 8.1—8.3
8.4 Review of Methods for Solving Systems of Equations
8.5 Solving Word Problems Using Systems of Equations
Use Math to Save Money
Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
Math Coach
9. Radicals
9.1 Square Roots
9.2 Simplifying Radical Expressions
9.3 Adding and Subtracting Radical Expressions
9.4 Multiplying Radical Expressions
How Am I Doing? Sections 9.1—9.4
9.5 Dividing Radical Expressions
9.6 The Pythagorean Theorem and Radical Equations
9.7 Word Problems Involving Radicals: Direct and Inverse Variation
Use Math to Save Money
Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
Math Coach
10. Quadratic Equations
10.1 Introduction to Quadratic Equations
10.2 Using the Square Root Property and Completing the Square to Find Solutions
10.3 Using the Quadratic Formula to Find Solutions
How Am I Doing? Sections 10.1—10.3
10.4 Graphing Quadratic Equations
10.5 Formulas and Applied Problems
Use Math to Save Money
Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
Math Coach
Practice Final Examination
Solutions to Practice Problems
Answers to Selected Exercises
Glossary
Subject Index
Photo Credits
Index of Applications (Available in MyMathLab)