Elementary Algebra

1. THE REAL NUMBER SYSTEM. Real Numbers. Adding and Subtracting Integers. Multiplying and Dividing Integers. Mid-Chapter Quiz. Study Skills in Action. Operations with Rational Numbers. Exponents 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. LINEAR EQUATIONS AND PROBLEM SOLVING. Solving Linear Equations. Equations That Reduce to Linear Form. Problem Solving with Percents. Mid-Chapter Quiz. Study Skills in Action. Ratios and Proportions. Geometric and Scientific Applications. Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-3. 4. EQUATIONS AND INEQUALITIES IN TWO VARIABLES. Ordered Pairs and Graphs. Graphs of Equations in Two Variables. Slope and Graphs of Linear Equations. Mid-Chapter Quiz. Study Skills in Action. Equations of Lines. Graphs of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. 5. EXPONENTS AND POLYNOMIALS. Negative Exponents and Scientific Notation. Adding and Subtracting Polynomials. Mid-Chapter Quiz. Study Skills in Action. Multiplying Polynomials: Special Products. Dividing Polynomials. 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 Quadratic Equations by Factoring. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 4-6. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Mid-Chapter Quiz. Study Skills in Action. Complex Fractions. Rational Equations and Applications. Chapter Summary. Review Exercises. Chapter Test. 8. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination. Mid-Chapter Quiz. Study Skills in Action. Applications of Systems of Linear Equations. Systems of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. 9. RADICAL EXPRESSIONS AND EQUATIONS. Roots and Radicals. Simplifying Radicals. Mid-Chapter Quiz. Study Skills in Action. Operations with Radical Expressions. Radical Equations and Applications. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 7-9. 10. QUADRATIC EQUATIONS AND FUNCTIONS. Solving by the Square Root Property. Solving by Completing the Square. Solving by the Quadratic Formula. Mid-Chapter Quiz. Study Skills in Action. Graphing Quadratic Equations. Applications of Quadratic Equations. Complex Numbers. Relations, Functions, and Graphs. Chapter Summary. Review Exercises. Chapter Test.