Intermediate Algebra

Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-12 include Cumulative Review Exercises. A. AIM FOR SUCCESS. 1. REVIEW OF REAL NUMBERS. Introduction to Real Numbers. Operations on Integers. Operations on Rational Numbers. Variable Expressions. Verbal Expressions and Variable Expressions. 2. FIRST-DEGREE EQUATIONS AND INEQUALITIES. Solving First-Degree Equations. Applications: Mixture and Uniform Motion Problems. First-Degree Inequalities. Absolute Value Equations and Inequalities. 3. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES. The Rectangular Coordinate System. Introduction to Functions. Linear Functions. Slope of a Straight Line. Finding Equations of Lines. Parallel and Perpendicular Lines. Inequalities in Two Variables. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Linear Equations by Graphing and by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Solving Systems of Equations by Using Determinants. Application Problems. Solving Systems of Linear Inequalities. 5. POLYNOMIALS. Exponential Expressions. Introduction to Polynomial Functions. Multiplication of Polynomials. Division of Polynomials. Introduction to Factoring. Factoring Trinomials. Special Factoring. Solving Equations by Factoring. 6. RATIONAL EXPRESSIONS. Simplify Rational Expressions. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Ratio and Proportion. Rational Equations. Variation. 7. EXPONENTS AND RADICALS. Rational Exponents and Radical Expressions. Add or Subtract Radical Expressions. Multiply or Divide Radical Expressions. Solving Equations Containing Radical Expressions. Complex Numbers. 8. QUADRATIC EQUATIONS. Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square and the Quadratic Formula. Solving Equations that are Reducible to Quadratic Equations. Applications of Quadratic Equations. Quadratic Inequalities and Rational Inequalities. 9. FUNCTIONS AND RELATIONS. Properties of Quadratic Functions. Translating and Reflecting Graphs. Algebra of Functions. One-to-One and Inverse Functions. 10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Introduction to Logarithms. Graphs of Logarithmic Functions. Solving Exponential and Logarithmic Equations. Applications of Exponential and Logarithmic Functions. 11. CONIC SECTIONS. The Parabola. The Circle. The Ellipse and the Hyperbola. Solving Non-linear Systems of Equations. Quadratic Inequalities and Systems of Inequalities. 12. SEQUENCES AND SERIES. Introduction to Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. Binomial Expansions. FINAL EXAM. APPENDIX. Keystroke Guide. Proofs of Logarithmic Properties. Proof of the Formula for the Sum of n Terms of a Geometric Series. Proof of the Formula for the Sum of n Terms of an Arithmetic Series. Table of Symbols. Table of Measurement Abbreviations. Solutions to You Try Its. Answers to Odd-Numbered Exercises. GLOSSARY. INDEX.