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Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.
Essentials of Intro & Intermediate combo is chapters 1-11 of the 14 chapter Intro & Intermediate Combo 2e title and 5 appendices.
CONTENTS
A Brief Guide to Getting the Most from This Book
Preface
To The Student
About the Author
Chapter 1: The Real Number System
1.1 Fractions
1.2 The Real Numbers
1.3 Ordered Pairs and Graphs
1.4 Basic Rules of Algebra
Mid-Chapter Check Point
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponents, Order of Operations, and Mathematical Models
Chapter 1 Group Project
Summary
Review Exercises
Chapter 1 Test
Chapter 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
2.5 An Introduction to Problem Solving
2.6 Problem Solving in Geometry
2.7 Solving Linear Inequalities
Chapter 2 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 2)
Chapter 2 Test
Chapter 3: Linear Equations in Two Variables
3.1 Graphing Equations in Two Variables
3.2 Graphing Linear Equations Using Intercepts
3.3 Slope
3.4 The Slope-Intercept Form of the Equations of a Line
Mid-Chapter Check Point
3.5 The Point-Slope Form of the Equation of a Line
Chapter 3 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 3)
Chapter 3 Test
Chapter 4: Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by the Substitution Method
4.3 Solving Systems of Linear Equations by the Addition Method
Mid-Chapter Check Point
4.4 Problem Solving Using Systems of Equations
4.5 Systems of Linear Equations in Three Variables
Chapter 4 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 4)
Chapter 4 Test
Chapter 5: Exponents and Polynomials
5.1 Adding and Subtracting Polynomials
5.2 Multiplying Polynomials
5.3 Special Products
5.4 Polynomials in Several Variables
Mid-Chapter Check Point
5.5 Dividing Polynomials
5.6 Long Division of Polynomials; Synthetic Division
5.7 Negative Exponents and Scientific Notation
Chapter 5 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 5)
Chapter 5 Test
Chapter 6: Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials Whose Leading Coefficient is One
6.3 Factoring Trinomials Whose Leading Coefficient Is Not One
Mid-Chapter Check Point
6.4 Factoring Special Forms
6.5 A General Factoring Strategy
6.6 Solving Quadratic Equations by Factoring
Chapter 6 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 6)
Chapter 6 Test
Chapter 7: Rational Expressions
7.1 Radical Expressions and Their Simplification
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominators
7.4 Adding and Subtracting Rational Expressions with Different Denominators
Mid-Chapter Check Point
7.5 Complex Rational Expressions
7.6 Solving Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Modeling Using Variation
Chapter 7 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 7)
Chapter 7 Test
Mid-Textbook Check Point
Chapter 8: Basics of Functions
8.1 Introduction to Functions
8.2 The Algebra of Functions
Mid-Chapter Check Point
8.3 Composite and Inverse Functions
Chapter 8 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 8)
Chapter 8 Test
Chapter 9: Inequalities and Problem Solving
9.1 Interval Notation and Business Applications Using Linear Inequalities
9.2 Compound Inequalities
9.3 Equations and Inequalities Involving Absolute Value
Mid-Chapter Check Point
9.4 Linear Inequalities in Two Variables
9.5 Linear Programming
Chapter 9 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 9)
Chapter 9 Test
Chapter 10: Radicals, Radical Functions, and Rational Exponents
10.1 Radical Expressions and Functions
10.2 Rational Expressions
10.3 Multiplying and Simplifying Radical Expressions
10.4 Adding, Subtracting, and Dividing Radical Expressions
Mid-Chapter Check Point
10.5 Multiplying with More Than One Term and Rationalizing Denominators
10.6 Radical Equalities
10.7 Complex Numbers
Chapter 10 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 10)
Chapter 10 Test
Chapter 11: Quadratic Equations and Functions
11.1 The Square Root Property and Completing the Square
11.2 The Quadratic Formula
11.3 Quadratic Functions and Their Graphs
Mid-Chapter Check Point
11.4 Equations Quadratic in Form
11.5 Polynomial and Rational Inequalities
Chapter 11 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 11)
Chapter 11 Test
Appendices
A: Matrix Solutions to Systems of Linear Equations
B: Determinants and Cramer's Rule
C: Circles
D: Summation Notation and the Binomial Theorem
E: Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Graphing Answer Section
Applications Index
Subject Index
Photo Credits