Introductory Algebra: An Applied Approach
1. PREALGEBRA REVIEW. Prep Test. 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. Focus on Problem Solving: Inductive Reasoning. Projects and Group Activities: The +/- Key on a Calculator, Balance of Trade. Chapter 1 Summary. Concept Review. Chapter 1 Review Exercises. Chapter 1 Test. 2. VARIABLE EXPRESSIONS. Prep Test. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. Focus on Problem Solving: From Concrete to Abstract. Projects and Group Activities: Prime and Composite Numbers. Chapter 2 Summary. Concept Review. Chapter 2 Review Exercises. Chapter 2 Test. Cumulative Review Exercises. 3. SOLVING EQUATIONS. Prep Test. Introduction to Equations. General Equations--Part I. General Equations--Part II. Translating Sentences into Equations. Geometry Problems. Mixture and Uniform Motion Problems. Focus on Problem Solving: Trial-and-Error Approach to Problem Solving. Projects and Group Activities: Nielsen Ratings. Chapter 3 Summary. Concept Review. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. POLYNOMIALS. Prep Test. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. Focus on Problem Solving: Dimensional Analysis. Projects and Group Activities: Diagramming the Square of a Binomial, Pascal's Triangle. Chapter 4 Summary. Concept Review. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING. Prep Test. Common Factors. Factoring Polynomials of the Form x^2 + bx + c. Factoring Polynomials of the Form ax^2 + bx + c. Special Factoring. Solving Equations. Focus on Problem Solving: Making a Table. Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator, Exploring Integers, Using the World Wide Web. Chapter 5 Summary. Concept Review. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. RATIONAL EXPRESSIONS. Prep Test. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM). Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. Focus on Problem Solving: Negations and If ... then Sentences. Projects and Group Activities: Intensity of Illumination. Chapter 6 Summary. Concept Review. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. LINEAR EQUATIONS IN TWO VARIABLES. Prep Test. The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines. Focus on Problem Solving: Counterexamples. Projects and Group Activities: Graphing Linear Equations with a Graphing Utility. Chapter 7 Summary. Concept Review. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. SYSTEMS OF LINEAR EQUATIONS. Prep Test. 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. Focus on Problem Solving: Calculators. Projects and Group Activities: Solving a System of Equations with a Graphing Calculator. Chapter 8 Summary. Concept Review. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. INEQUALITIES. Prep Test. Sets. The Addition and Multiplication Properties of Inequalities. General Inequalities. Graphing Linear Inequalities. Focus on Problem Solving: Graphing Data. Projects and Group Activities: Mean and Standard Deviation. Chapter 9 Summary. Concept Review. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10.RADICAL EXPRESSIONS. Prep Test. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. Focus on Problem Solving: Deductive Reasoning. Projects and Group Activities: Distance to the Horizon. Chapter 10 Summary. Concept Review. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. QUADRATIC EQUATIONS. Prep Test. 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. Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques. Projects and Group Activities: Graphical Solutions of Quadratic Equations, Geometric Construction of Completing the Square. Chapter 11 Summary. Concept Review. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. Final Exam. Appendix. Solutions to You-Try-Its. Answers to Selected Exercises. Glossary. Index.