Introductory & Intermediate Algebra for College Students, 4th Edition

by Blitzer

• ISBN13: 9781269911054
• ISBN10: 1269911058
• Edition: 4th
• Format: Nonspecific Binding
• Copyright: 2012-01-30
• Publisher: PEARSON

Summary

The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum appeal. Blitzer's personality shows in his writing, as he draws readers into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success!

Table of Contents

1. Variables, Real Numbers, and Mathematical Models 1.1 Introduction to Algebra: Variables and Mathematical Models 1.2 Fractions in Algebra 1.3 The Real Numbers 1.4 Basic Rules of Algebra Mid-Chapter Check Point Section 1.1–Section 1.4 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponents and Order of Operations Chapter 1 Group Project Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test 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 Section 2.1–Section 2.4 2.5 An Introduction to Problem Solving 2.6 Problem Solving in Geometry 2.7 Solving Linear Inequalities Chapter 2 Group Project Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Cumulative Review Exercises (Chapters 1–2) 3. Linear Equations in Two Variables 3.1 Graphing Linear Equations in Two Variables 3.2 Graphing Linear Equations Using Intercepts 3.3 Slope 3.4 The Slope-Intercept Form of the Equation of a Line Mid-Chapter Check Point Section 3.1–Section 3.4 3.5 The Point-Slope Form of the Equation of a Line Chapter 3 Group Project Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Cumulative Review Exercises (Chapters 1–3) 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 Section 4.1–Section 4.3 4.4 Problem Solving Using Systems of Equations 4.5 Systems of Linear Equations in Three Variables Chapter 4 Group Project Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Cumulative Review Exercises (Chapters 1–4) 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 Section 5.1–Section 5.4 5.5 Dividing Polynomials 5.6 Long Division of Polynomials; Synthetic Division 5.7 Negative Exponents and Scientific Notation Chapter 5 Group Project Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Cumulative Review Exercises (Chapters 1–5) 6. Factoring Polynomials 6.1 The Greatest Common Factor and Factoring By Grouping 6.2 Factoring Trinomials Whose Leading Coefficient Is 1 6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1 Mid-Chapter Check Point Section 6.1–Section 6.3 6.4 Factoring Special Forms 6.5 A General Factoring Strategy 6.6 Solving Quadratic Equations By Factoring Chapter 6 Group Project Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Cumulative Review Exercises (Chapters 1–6) 7. Rational Expressions 7.1 Rational Expressions and Their Simplification 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with the Same Denominator 7.4 Adding and Subtracting Rational Expressions with Different Denominators Mid-Chapter Check Point Section 7.1–Section 7.4 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 Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Cumulative Review Exercises (Chapters 1–7) 8. Basics of Functions 8.1 Introduction to Functions 8.2 Graphs of Functions 8.3 The Algebra of Functions Mid-Chapter Check Point Section 8.1–Section 8.3 8.4 Composite and Inverse Functions Chapter 8 Group Project Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Cumulative Review Exercises (Chapters 1–8) 9. Inequalities and Problem Solving 9.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications 9.2 Compound Inequalities 9.3 Equations and Inequalities Involving Absolute Value Mid-Chapter Check Point Section 9.1–Section 9.3 9.4 Linear Inequalities in Two Variables Chapter 9 Group Project Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Cumulative Review Exercises (Chapters 1–9) 10. Radicals, Radical Functions, and Rational Exponents 10.1 Radical Expressions and Functions 10.2 Rational Exponents 10.3 Multiplying and Simplifying Radical Expressions 10.4 Adding, Subtracting, and Dividing Radical Expressions Mid-Chapter Check Point Section 10.1–Section 10.4 10.5 Multiplying with More Than One Term and Rationalizing Denominators 10.6 Radical Equations 10.7 Complex Numbers Chapter 10 Group Project Chapter 10 Summary Chapter 10 Review Exercises Chapter 10 Test Cumulative Review Exercises (Chapters 1–10) 11. Quadratic Equations and Functions 11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formulas 11.2 The Quadratic Formula 11.3 Quadratic Functions and Their Graphs Mid-Chapter Check Point Section 11.1–Section 11.3 11.4 Equations Quadratic in Form 11.5 Polynomial and Rational Inequalities Chapter 11 Group Project Chapter 11 Summary Chapter 11 Review Exercises Chapter 11 Test Cumulative Review Exercises (Chapters 1–11) 12. Exponential and Logarithmic Functions 12.1 Exponential Functions 12.2 Logarithmic Functions 12.3 Properties of Logarithms Mid-Chapter Check Point Section 12.1–Section 12.3 12.4 Exponential and Logarithmic Equations 12.5 Exponential Growth and Decay; Modeling Data Chapter 12 Group Project Chapter 12 Summary Chapter 12 Review Exercises Chapter 12 Test Cumulative Review Exercises (Chapters 1–12) 13. Conic Sections and Systems of Nonlinear Equations 13.1 The Circle 13.2 The Ellipse 13.3 The Hyperbola Mid-Chapter Check Point Section 13.1–Section 13.3 13.4 The Parabola; Identifying Conic Sections 13.5 Systems of Nonlinear Equations in Two Variables Chapter 13 Group Project Chapter 13 Summary Chapter 13 Review Exercises Chapter 13 Test Cumulative Review Exercises (Chapters 1–13) 14. Sequences, Series, and the Binomial Theorem 14.1 Sequences and Summation Notation 14.2 Arithmetic Sequences 14.3 Geometric Sequences and Series Mid-Chapter Check Point Section 14.1–Section 14.3 14.4 The Binomial Theorem Chapter 14 Group Project Chapter 14 Summary Chapter 14 Review Exercises Chapter 14 Test Cumulative Review Exercises (Chapters 1–14) Appendices A. Mean, Median, and Mode B. Matrix Solutions to Linear Systems C. Determinants and Cramer's Rule D. Where Did That Come From? Selected Proofs