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Preface 1. Algebra Basics 1.1 Introduction to Real Numbers 1.2 Operations with Real Numbers 1.3 Properties of Real Numbers 1.4 Laws of Exponents and Scientific Notation 1.5 Algebraic Expressions: Translating, Evaluating, and Simplifying 2. Linear Equations and Inequalities 2.1 Solving Linear Equations 2.2 Solving Literal Equations and Formulas 2.3 Solving Linear Inequalities 2.4 Solving Compound Inequalities 2.5 Solving Absolute Value Equations and Inequalities 3. Graphs, Linear Equations and Inequalities, and Functions 3.1 The Rectangular Coordinate System 3.2 Slope 3.3 Graphing Linear Equations 3.4 More on Graphing Linear Equations 3.5 Graphing Linear Inequalities 3.6 Introduction to Functions 4. Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations Algebraically 4.3 Solving Systems of Linear Equations in Three Variables 4.4 Solving Systems of Linear Equations by Using Matrices 4.5 Solving Systems of Linear Inequalities 5. Polynomials 5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials 5.3 Division of Polynomials 5.4 The Greatest Common Factor and Factoring by Grouping 5.5 Factoring Trinomials 5.6 Special Factoring 5.7 Solving Quadratic Equations by Factoring 6. Rational Expressions and Equations 6.1 Multiplication and Division of Rational Expressions 6.2 Addition and Subtraction of Rational Expressions 6.3 Complex Rational Expressions 6.4 Solving Rational Equations 6.5 Variation 7. Radical Expressions and Equations 7.1 Radical Expressions and Rational Exponents 7.2 Simplifying Radical Expressions 7.3 Addition and Subtraction of Radical Expressions 7.4 Multiplication and Division of Radical Expressions 7.5 Solving Radical Equations 7.6 Complex Numbers 8. Quadratic Equations, Functions, and Inequalities 8.1 Solving Quadratic Equations: The Square Root Property of Equality; Completing the Square 8.2 Solving Quadratic Equations: The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Graphing Quadratic Functions 8.5 Solving Quadratic and Rational Inequalities 9. Exponential and Logarithmic Functions 9.1 The Algebra of Functions and Inverse Functions 9.2 Exponential Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms 9.5 Common Logarithms, Natural Logarithms, and Change of Base 9.6 Exponential and Logarithmic Equations 10. Conic Sections 10.1 Introduction to Conics; The Parabola 10.2 The Circle 10.3 The Ellipse and the Hyperbola 10.4 Solving Nonlinear Systems of Equations 10.5 Solving Nonlinear Inequalities and Nonlinear Systems of Inequalities Appedixes A.1 Table of Symbols A.2 Introduction to Graphing Calculators A.3 Determinants and Cramer’s Rule A.4 Synthetic Division Answers Glossary Index Table of Contents
Get Intermediate Algebra Through Applications (Subscription), 3rd Edition by Geoffrey Akst, Borough of Manhattan Community College, City University of New York Sadie Bragg, Borough of Manhattan Community College, City University of New York
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