Elementary and Intermediate Algebra

1. THE REAL NUMBER SYSTEM. Real Numbers: Order and Absolute Value. Adding and Subtracting Integers. Multiplying and Dividing Integers. Mid-Chapter Quiz. Study Skills in Action. Operations with Rational Numbers. Exponents, Order of Operations, and Properties of Real Numbers. Chapter Summary. Review Exercises. Chapter Test. 2. FUNDAMENTALS OF ALGEBRA. Writing and Evaluating Algebraic Expressions. Simplifying Algebraic Expressions. Mid-Chapter Quiz. Study Skills in Action. Algebra and Problem Solving. Introduction to Equations. Chapter Summary. Review Exercises. Chapter Test. 3. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving Linear Equations. Equations That Reduce to Linear Form. Problem Solving with Percents. Ratios and Proportions. Mid-Chapter Quiz. Study Skills in Action. Geometric and Scientific Applications. Linear Inequalities. Absolute Value Equations and Inequalities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-3. 4. GRAPHS AND FUNCTIONS. Ordered Pairs and Graphs. Graphs of Equations in Two Variables. Relations, Functions, and Graphs. Mid-Chapter Quiz. Study Skills in Action. Slope and Graphs of Linear Equations. Equations of Lines. Graphs of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. 5. EXPONENTS AND POLYNOMIALS. Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Mid-Chapter Quiz. Study Skills in Action. Multiplying Polynomials: Special Products. Dividing Polynomials and Synthetic Division. Chapter Summary. Review Exercises. Chapter Test. 6. FACTORING AND SOLVING EQUATIONS. Factoring Polynomials with Common Factors. Factoring Trinomials. More About Factoring Trinomials. Mid-Chapter Quiz. Study Skills in Action. Factoring Polynomials with Special Forms. Solving Polynomial Equations by Factoring. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 4-6. 7. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Mid-Chapter Quiz. Study Skills in Action. Complex Fractions. Solving Rational Equations. Applications and Variation. Chapter Summary. Review Exercises. Chapter Test. 8. SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing and Substitution. Solving Systems of Equations by Elimination. Linear Systems in Three Variables. Mid-Chapter Quiz. Study Skills in Action. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. 9. RADICALS AND COMPLEX NUMBERS. Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Study Skills in Action. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 7-9. 10. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Solving Quadratic Equations: Factoring and Special Forms. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Study Skills in Action. Graphs of Quadratic Functions. Applications of Quadratic Equations. Quadratic and Rational Inequalities. Chapter Summary. Review Exercises. Chapter Test. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Study Skills in Action. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications. Chapter Summary. Review Exercises. Chapter Test. 12. CONICS. Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Study Skills in Action. Hyperbolas. Solving Nonlinear Systems of Equations. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 10-12. 13. SEQUENCES, SERIES, AND THE BINOMIAL THEOREM. Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Study Skills in Action. Geometric Sequences and Series. The Binomial Theorem. Chapter Summary.