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Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises | |
Review of the Real Number System | |
Basic Concepts | |
Operations on Real Numbers | |
Exponents, Roots, and Order of Operations | |
Properties of Real Numbers | |
Linear Equations, Inequalities, and Applications | |
Linear Equations in One Variable | |
Formulas | |
Applications of Linear Equations | |
Further Applications of Linear Equations | |
Summary Exercises on Solving Applied Problems | |
Linear Inequalities in One Variable | |
Set Operations and Compound Inequalities | |
Absolute Value Equations and Inequalities | |
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities | |
Graphs, Linear Equations, and Functions | |
The Rectangular Coordinate System | |
The Slope of a Line | |
Linear Equations in Two Variables | |
Summary Exercises on Slopes and Equations of Lines | |
Linear Inequalities in Two Variables | |
Introduction to Functions | |
Systems of Linear Equations | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables | |
Applications of Systems of Linear Equations | |
Solving Systems of Linear Equations by Matrix Methods | |
Exponents , Polynomials, and Polynomial Functions | |
Integer Exponents and Scientific Notation | |
Adding and Subtracting Polynomials | |
Polynomial Functions, Graphs, and Composition | |
Multiplying Polynomials | |
Dividing Polynomials | |
Factoring | |
Greatest Common Factors; Factoring by Grouping | |
Factoring Trinomials | |
Special Factoring | |
A General Approach to Factoring | |
Solving Equations by Factoring | |
Rational Expressions and Functions | |
Rational Expressions and Functions; Multiplying and Dividing | |
Adding and Subtracting Rational Expressions | |
Complex Fractions | |
Equations with Rational Expressions and Graphs | |
Summary Exercises on Rational Expressions and Equations | |
Applications of Rational Expressions | |
Variation | |
Roots, Radicals, and Root Functions | |
Radical Expressions and Graphs | |
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