| |
| |
A Brief Guide to Getting the Most from This Book | |
| |
| |
Preface | |
| |
| |
To The Student | |
| |
| |
About the Author | |
| |
| |
| |
Algebra, Mathematical Models, and Problem Solving | |
| |
| |
| |
Algebraic Expressions and Real Numbers | |
| |
| |
| |
Operations with Real Numbers and Simplifying Algebraic Expressions | |
| |
| |
| |
Graphing Equations | |
| |
| |
| |
Solving Linear Equations | |
| |
| |
Mid-Chapter Check Point Section 1.1 Section 1.4 | |
| |
| |
| |
Problem Solving and Using Formulas | |
| |
| |
| |
Properties of Integral Exponents | |
| |
| |
| |
Scientific Notation | |
| |
| |
| |
Group Project | |
| |
| |
| |
Summary | |
| |
| |
| |
Review Exercises | |
| |
| |
| |
Test | |
| |
| |
| |
Functions and Linear Functions | |
| |
| |
| |
Introduction to Functions | |
| |
| |
| |
Graphs of Functions | |
| |
| |
| |
The Algebra of Functions | |
| |
| |
Mid-Chapter Check Point Section 2.1 Section 2.3 | |
| |
| |
| |
Linear Functions and Slope | |
| |
| |
| |
The Point-Slope Form of the Equation of a Line | |
| |
| |
| |
Group Project | |
| |
| |
| |
Summary | |
| |
| |
| |
Review Exercises | |
| |
| |
| |
Test | |
| |
| |
Cumulative Review Exercises (Chapters 1 2) | |
| |
| |
| |
Systems of Linear Equations | |
| |
| |
| |
Systems of Linear Equations in Two Variables | |
| |
| |
| |
Problem Solving and Business Applications Using Systems of Equations | |
| |
| |
| |
Systems of Linear Equations in Three Variables | |
| |
| |
Mid-Chapter Check Point Section 3.1 Section 3.3 | |
| |
| |
| |
Matrix Solutions to Linear Systems | |
| |
| |
| |
Determinants and Cramer's Rule | |
| |
| |
| |
Group Project | |
| |
| |
| |
Summary | |
| |
| |
| |
Review Exercises | |
| |
| |
| |
Test | |
| |
| |
Cumulative Review Exercises (Chapters 1 3) | |
| |
| |
| |
Inequalities and Problem Solving | |
| |
| |
| |
Solving Linear Inequalities | |
| |
| |
| |
Compound Inequalities | |
| |
| |
| |
Equations and Inequalities Involving Absolute Value | |
| |
| |
| |
| |
| |
| |
Linear Inequalities in Two Variables | |
| |
| |
| |
Linear Programming | |
| |
| |
| |
Group Project | |
| |
| |
| |
Summary | |
| |
| |
| |
Review Exercises | |
| |
| |
| |
Test | |
| |
| |
Cumulative Review Exercises (Chapters 1 4) | |
| |
| |
| |
Polynomials, Polynomial Functions, and Factoring | |
| |
| |
| |
Introduction to Polynomials and Polynomial Functions | |
| |
| |
| |
Multiplication of Polynomials | |
| |
| |
| |
Greatest Common Factors and Factoring By Grouping | |
| |
| |
| |
Factoring Trinomials | |
| |
| |
Mid-Chapter Check Point Section 5.1 Section 5.4 | |
| |
| |
| |
Factoring Special Forms | |
| |
| |
| |
A General Factoring Strategy | |
| |
| |
| |
Polynomial Equations and Their Applications | |
| |
| |
| |
Group Project | |
| |
| |
| |
Summary | |
| |
| |
| |
Review Exercises | |
| |
| |
| |
Test | |
| |
| |
Cumulative Review Exercises (Chapters 1 5) | |
| |
| |
| |
Rational Expressions, Functions, and Equations | |
| |
| |
| |
Rational Expressions and Functions: Multiplying and Dividing | |
| |
| |
| |
Adding and Subtracting Rational Expressions | |
| |
| |
| |
Complex Rational Expressions | |
| |
| |
| |
Division of Polynomials | |
| |
| |
Mid-Chapter Check Point Section 6.1 Section 6.4 | |
| |
| |
| |
Synthetic Division and the Remainder Theorem | |
| |
| |
| |
Rational Equations | |
| |
| |
| |
Formulas and Applications of Rational Equations | |
| |
| |
| |
Modeling Using Variation | |
| |
| |
| |
Group Project | |
| |
| |
| |
Summary | |
| |
| |
| |
Review Exercises | |
| |
| |
| |
Test | |
| |
| |
Cumulative Review Exercises (Chapters 1 6) | |
| |
| |
| |
Radicals, Radical Functions, and Rational Exponents | |
| |
| |
| |
Radical Expressions and Functions | |
| |
| |
| |
Rational Exponents | |
| |
| |
| |
Multiplying and Simplifying Radical Expressions | |
| |
| |
| |
Adding, Subtracting, and Dividing Radical Expressions | |
| |
| |
Mid-Chapter Check Point Section 7.1 Section 7.4 | |
| |
| |
| |
Multiplying with More Than One Term and Rationalizing Denominators | |
| |
| |
| |
Radical Equations | |
| |
| |
| |
Complex Numbers | |
| |
| |
| |
Group Project | |
| |
| |
| |
Summary</P | |