Introductory Algebra: An Applied Approach Book

Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-11 include Cumulative Review Exercises. A. AIM FOR SUCCESS. 1. PREALGEBRA REVIEW. Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Exponents and the Order of Operations Agreement. Factoring Numbers and Prime Factorization. Addition and Subtraction of Rational Numbers. Multiplication and Division of Rational Numbers. Concepts from Geometry. 2. VARIABLE EXPRESSIONS. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. 3. SOLVING EQUATIONS. Introduction to Equations. The Basic Percent Equation and the Uniform Motion Equation. General Equations—Part I. General Equations—Part II. Translating Sentences into Equations. Geometry Problems. Mixture and Uniform Motion Problems. 4. POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. 5. FACTORING. Common Factors. Factoring Polynomials of the Form x² + bx + c. Factoring Polynomials of the Form ax² + bx + c. Special Factoring. Factoring Polynomials Completely. Solving Equations. 6. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM) of the denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. 7. LINEAR EQUATIONS IN TWO VARIABLES. The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines. 8. SYSTEMS OF LINEAR EQUATIONS. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Equations by the Addition Method. Application Problems in Two Variables. 9. INEQUALITIES. Sets. The Addition and Multiplication Properties of Inequalities. General Inequalities. Graphing Linear Inequalities. 10. RADICAL EXPRESSIONS. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. 11. QUADRATIC EQUATIONS. Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations By Using the Quadratic Formula. Graphing Quadratic Equations in Two Variables. Application Problems. FINAL EXAM. APPENDIX. Solutions to You-Try-Its. Answers to Selected Exercises. GLOSSARY. INDEX.