Intermediate Algebra

1. FUNDAMENTALS OF ALGEBRA. The Real Number System. Operations with Real Numbers. Properties of Real Numbers. Mid-Chapter Quiz. Study Skills in Action. Algebraic Expressions. Constructing Algebraic Expressions. Chapter Summary. Review Exercises. Chapter Test. 2. LINEAR EQUATIONS AND INEQUALITIES. Linear Equations. Linear Equations and Problem Solving. Business and Scientific Problems. Mid-Chapter Quiz. Study Skills in Action. Linear Inequalities. Absolute Value Equations and Inequalities. Chapter Summary. Review Exercises. Chapter Test. 3. GRAPHS AND FUNCTIONS. The Rectangular Coordinate System. Graphs of Equations. Slope and Graphs of Linear Equations. Equations of Lines. Mid-Chapter Quiz. Study Skills in Action. Graphs of Linear Inequalities. Relations and Functions. Graphs of Functions. Chapter Summary. Review Exercises. Chapter Test. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Equations. Linear Systems in Two Variables. 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. Cumulative Test: Chapters 1-4. 5. POLYNOMIALS AND FACTORING. Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Mid-Chapter Quiz. Study Skills in Action. Factoring by Grouping and Special Forms. Factoring Trinomials. Solving Polynomial Equations by Factoring. Chapter Summary. Review Exercises. Chapter Test. 6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Mid-Chapter Quiz. Study Skills in Action. Dividing Polynomials and Synthetic Division. Solving Rational Equations. Variation. Chapter Summary. Review Exercises. Chapter Test. 7. 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 5-7. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Solving Quadratic Equations. 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. 9. 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. 10. 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 8-10. 11. 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. Review Exercises. Chapter Test.