Elementary and Intermediate Algebra

1. Introduction to Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Commutative, Associative, and Distributive Laws 1.3 Fraction Notation 1.4 Positive and Negative Real Numbers Mid-Chapter Review 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponential Notation and Order of Operations 2. Equations, Inequalities, and Problem Solving 2.1 Solving Equations 2.2 Using the Principles Together 2.3 Formulas Mid-Chapter Review 2.4 Applications with Percent 2.5 Problem Solving 2.6 Solving Inequalities 2.7 Solving Applications with Inequalities 3. Introduction to Graphing and Functions 3.1 Reading Graphs, Plotting Points, and Scaling Graphs 3.2 Graphing Equations 3.3 Linear Equations and Intercepts 3.4 Rates 3.5 Slope Mid-Chapter Review 3.6 Slope-Intercept Form 3.7 Point-Slope Form; Introduction to Curve Fitting 3.8 Functions 4. Systems of Equations in Two Variables 4.1 Systems of Equations and Graphing 4.2 Systems of Equations and Substitution 4.3 Systems of Equations and Elimination Mid-Chapter Review 4.4 More Applications Using Systems 4.5 Solving Equations by Graphing 5. Polynomials 5.1 Exponents and Their Properties 5.2 Negative Exponents and Scientific Notation 5.3 Polynomials and Polynomial Functions 5.4 Addition and Subtraction of Polynomials 5.5 Multiplication of Polynomials 5.6 Special Products Mid-Chapter Review 5.7 Polynomials in Several Variables 5.8 Division of Polynomials 5.9 The Algebra of Functions 6. Polynomial Factorizations and Equations 6.1 Introduction to Polynomial Factorizations and Equations 6.2 Trinomials of the Type x2 + bx + c 6.3 Trinomials of the Type ax2 + bx + c Mid-Chapter Review 6.4 Perfect-Square Trinomials and Differences of Squares 6.5 Sums or Differences of Cubes 6.6 Factoring: A General Strategy 6.7 Applications of Polynomial Equations 7. Rational Expressions, Equations, and Functions 7.1 Rational Expressions and Functions 7.2 Multiplication and Division 7.3 Addition, Subtraction, and Least Common Denominators 7.4 Addition and Subtractions with Unlike Denominators Mid-Chapter Review 7.5 Complex Rational Expressions 7.6 Rational Equations 7.7 Applications Using Rational Equations and Proportions 7.8 Formulas, Applications, and Variation 8. Inequalities 8.1 Graphical Solutions and Compound 8.2 Absolute Value Equations and Inequalities Mid-Chapter Review 8.3 Inequalities in Two Variables 8.4 Polynomial Inequalities and Rational Inequalities 9. More On Systems 9.1 Systems of Equations in Three Variables 9.2 Solving Applications: Systems of Three Equations 9.3 Elimination Using Matrices Mid-Chapter Review 9.4 Determinants and Cramer's Rule 9.5 Business and Economic Applications 10. Exponents and Radical Functions 10.1 Radical Expressions, Functions, and Models 10.2 Rational Numbers as Exponents 10.3 Multiplying Radical Expressions 10.4 Dividing Radical Expressions 10.5 Expressions Containing Several Radical Terms Mid-Chapter Review 10.6 Solving Radical Equations 10.7 The Distance Formula, the Midpoint Formula, and Other Applications 10.8 The Complex Numbers 11. Quadratic Functions and Equations 11.1 Quadratic Equations 11.2 The Quadratic Formula 11.3 Studying Solutions of Quadratic Equations 11.4 Applications Involving Quadratic Equations 11.5 Equations Reducible to Quadratic Mid-Chapter Review 11.6 Quadratic Functions and Their Graphs 11.7 More About Graphing Quadratic Functions 11.8 Problem Solving and Quadratic Equations 12. Exponential Functions and Logarithmic Functions 12.1 Composite Functions and Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithmic Functions Mid-Chapter Review 12.5 Natural Logarithms and Changing Bases 12.6 Solving Exponential and Logarithmic Equations 12.7 Applications of Exponential and Logarithmic Functions