Note: Each chapter is preceded by Motivating the Chapter, includes a Mid-Chapter Quiz, and concludes with What Did You Learn? (Chapter Summary), Review Exercises, and a Chapter Test | |
Fundamentals of Algebra | |
The Real Number System | |
Operations with Real Numbers | |
Properties of Real Numbers | |
Algebraic Expressions | |
Constructing Algebraic Expressions | |
Linear Equations and Inequalities | |
Linear Equations | |
Linear Equations and Problem Solving | |
Business and Scientific Problems | |
Linear Inequalities | |
Absolute Value Equations and Inequalities | |
Graphs and Functions | |
The Rectangular Coordinate System | |
Graphs of Equations | |
Slope and Graphs of Linear Equations | |
Equations of Lines | |
Graphs of Linear Inequalities | |
Relations and Functions | |
Graphs of Functions | |
Systems of Equations and Inequalities | |
Systems of Equations | |
Linear Systems in Two Variables | |
Linear Systems in Three Variables | |
Matrices and Linear Systems | |
Determinants and Linear Systems | |
Systems of Linear Inequalities Cumulative Test: Chapters 1–4 | |
Polynomials and Factoring | |
Integer Exponents and Scientific Notation | |
Adding and Subtracting Polynomials | |
Multiplying Polynomials | |
Factoring by Grouping and Special Forms | |
Factoring Trinomials | |
Solving Polynomial Equations by Factoring | |
Rational Expressions, Equations, and Functions | |
Rational Expressions and Functions | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions | |
Complex Fractions | |
Dividing Polynomials and Synthetic Division | |
Solving Rational Equations | |
Applications and Variation | |
Radicals and Complex Numbers | |
Radicals and Rational Exponents | |
Simplifying Radical Expressions | |
Adding and Subtracting Radical Expressions | |
Mulitplying and Dividing Radical Expressions | |
Radical Equations and Applications | |
Complex Numbers Cumulative Test: Chapters 5–7 | |
Quadratic Equations, Functions, and Inequalities | |
Solving Quadratic Equations: Factoring and Special Forms | |
Completing the Square | |
The Quadratic Formula | |
Graphs of Quadratic Functions | |
Applications of Quadratic Equations | |
Quadratic and Rational Inequalities | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Composite and Inverse Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
Solving Exponential and Logarithmic Equations | |
Applications | |
Conics | |
Circles and Parabolas | |
Ellipses | |
Hyperbolas | |
Solving Nonlinear Systems of Equations Cumulative Test: Chapters 8–10 | |
Sequences, Series, and the Binomial Theorem | |
Sequences and Series | |
Arithmetic Sequences | |
Geometric Sequences and Series | |
The Binomial Theorem | |
Introduction to Graphing Calculators | |
Further Concepts in Geometry (web) | |
Exploring Congruence and Similarity | |
Angles | |
Further Concepts in Statistics (web) | |
Introduction to Logic (web) | |
Statements and Truth Tables | |
Implications, Quantifiers, and Venn Diagrams | |
Logical Arguments | |
Counting Principles (web) | |
Probability (web) | |
Answers to Odd-Numbered Exercises, Quizzes, and Tests | |
Index of Applications | |
Index | |
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