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Table of Contents

(NOTE: Each chapter ends with a Summary, Review Problems, Chapter Project, and Chapter Test section.)

1. The Real Number System.

Fractions. The Real Numbers. Graphing and Ordered Pairs. Basic Rules of Algebra. Addition of Real Numbers. Subtraction of Real Numbers. Multiplication of Real Numbers. Exponents; Division of Real Numbers. Order of Operations; Mathematical Models.

2. Linear Equations and Inequalities in One Variable.

The Addition Property of Equality. The Multiplication Property of Equality. Solving Linear Equations. Mathematical Models. An Introduction to Problem Solving. Solving Linear Inequalities.

3. Problem Solving.

Strategies for Solving Problems. Ratio and Proportion. Geometry Problems. Cumulative Review Problems.

4. Linear Equations and Inequalities in Two Variables.

Graphing Linear Equations and Linear Functions. More on Graphing Linear Equations. Graphing Other Types of Equations and Functions. Slope. The Slope-Intercept Equation of a Line. The Point-Slope Equation of a Line. Graphing Linear Inequalities in Two Variables. Cumulative Review Problems.

5. Systems of Linear Equations and Inequalities.

Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Addition (Elimination) Method. Solving Systems of Linear Equations by the Substitution Method. Problem Solving Using Systems of Equations. Solving Systems of Inequalities. Cumulative Review Problems.

6. Exponents and Polynomials.

Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products; Modeling with Polynomials. Polynomials in Several Variables. Dividing Polynomials. Dividing Polynomials by Binomials. Negative Exponents and Scientific Notation. Cumulative Review Problems.

7. Factoring Polynomials.

Factoring Polynomials with Common Factors. Factoring Trinomials Whose Leading Coefficient is 1. Factoring Trinomials Whose Leading Coefficient is Not 1. Factoring Special Forms. A General Factoring Strategy. Solving Quadratic Equations by Factoring. Cumulative Review Problems.

8. Rational Expressions.

Rational Expressions, Rational Functions, and Their Simplification. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions with the Same Denominator. Adding and Subtracting Rational Expressions with Different Denominators. Complex Fractions. Solving Rational Equations. Modeling with Rational Expressions. Cumulative Review Problems.

9. Roots and Radicals.

Finding Roots. Multiplying and Dividing Radicals. Operations with Radicals. Rationalizing Denominators; Simplified Radical Form. Equations Containing Radicals. Fractional Exponents. Cumulative Review Problems.

10. Quadratic Equations and Functions.

Solving Quadratic Equations by the Square Root Property. Solving Quadratic Equations by Completing the Square. The Quadratic Formula. Complex Numbers as Solutions of Quadratic Equations. Quadratic Functions and Their Graphs.

Appendix: Review Problems Covering the Entire Book.

Get Introductory Algebra for College Students, 2nd Edition by Robert F. Blitzer, Miami Dade College

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