Introductory and Intermediate Algebra
The Bittinger Worktext Series changed the face of developmental education with the introduction of objective-based worktexts that presented math one concept at a time. This approach allowed readers to understand the rationale behind each concept before practicing the associated skills and then moving on to the next topic. With this revision, Marv Bittinger continues to focus on building success through conceptual understanding, while also supporting readers with quality applications,...
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The Bittinger Worktext Series changed the face of developmental education with the introduction of objective-based worktexts that presented math one concept at a time. This approach allowed readers to understand the rationale behind each concept before practicing the associated skills and then moving on to the next topic. With this revision, Marv Bittinger continues to focus on building success through conceptual understanding, while also supporting readers with quality applications, exercises, and new review and study materials to help them apply and retain their knowledge.
1. Introduction to Real Numbers and Algebraic Expressions1.1 Introduction to Algebra1.2 The Real Numbers1.3 Addition of Real Numbers1.4 Subtraction of Real Numbers1.5 Multiplication of Real Numbers1.6 Division of Real Numbers1.7 Properties of Real Numbers1.8 Simplifying Expressions; Order of Operations2. Solving Equations and Inequalities2.1 Solving Equations: The Addition Principle2.2 Solving Equations: The Multiplication Principle2.3 Using the Principles Together2.4 Formulas2.5 Applications of Percent2.6 Applications and Problem Solving2.7 Solving Inequalities2.8 Applications and Problem Solving with Inequalities3. Graphs of Linear Equations3.1 Graphs and Applications of Linear Equations3.2 Graphing Linear Equations3.3 More with Graphing and Intercepts3.4 Slope and Applications4. Polynomials: Operations4.1 Integers as Exponents4.2 Exponents and Scientific Notation4.3 Introduction to Polynomials4.4 Addition and Subtraction of Polynomials4.5 Multiplication of Polynomials4.6 Special Products4.7 Operations with Polynomials in Several Variables4.8 Division of Polynomials5. Polynomials: Factoring5.1 Introduction to Factoring5.2 Factoring Trinomials of the Type x2 + bx + c5.3 Factoring ax2 + bx + c, a ≠ 1:The FOIL Method5.4 Factoring ax2 + bx + c, a ≠ 1:The ac-Method5.5 Factoring Trinomial Squares and Differences of Squares5.6 Factoring Sums or Differences of Cubes5.7 Factoring: A General Strategy5.8 Solving Quadratic Equations by Factoring5.9 Applications of Quadratic Equations6. Rational Expressions and Equations6.1 Multiplying and Simplifying Rational Expressions6.2 Division and Reciprocals6.3 Least Common Multiples and Denominators6.4 Adding Rational Expressions6.5 Subtracting Rational Expressions6.6 Complex Rational Expressions6.7 Solving Rational Equations6.8 Applications Using Rational Equations and Proportions6.9 Variation and Applications7. Graphs, Functions, and Applications7.1 Functions and Graphs7.2 Finding Domain and Range7.3 Linear Functions: Graphs and Slope7.4 More on Graphing Linear Equations7.5 Finding Equations of Lines: Applications8. Systems of Equations8.1 Systems of Equations in Two Variables8.2 Solving by Substitution8.3 Solving by Elimination8.4 Solving Applied Problems: Two Equations8.5 Systems of Equations in Three Variables8.6 Solving Applied Problems: Three Equations9. More on Inequalities9.1 Sets, Inequalities, and Interval Notation9.2 Intersections, Unions, and Compound Inequalities9.3 Absolute-Value Equations and Inequalities9.4 Systems of Inequalities in Two Variables10. Radical Expressions, Equations, and Functions10.1 Radical Expressions and Functions10.2 Rational Numbers as Exponents10.3 Simplifying Radical Expressions10.4 Addition, Subtraction, and More Multiplication10.5 More on Division of Radical Expressions10.6 Solving Radical Equations10.7 Applications Involving Powers and Roots10.8 The Complex Numbers11. Quadratic Equations and Functions11.1 The Basics of Solving Quadratic Equations11.2 The Quadratic Formula11.3 Applications Involving Quadratic Equations11.4 More on Quadratic Equations11.5 Graphing f(x) = a(x - h)2 + k11.6 Graphing f(x) = ax2 + bx + c11.7 Mathematical Modeling with Quadratic Functions11.8 Polynomial and Rational Inequalities12. Exponential and Logarithmic Functions12.1 Exponential Functions12.2 Inverse and Composite Functions12.3 Logarithmic Functions12.4 Properties of Logarithmic Functions12.5 Natural Logarithmic Functions12.6 Solving Exponential and Logarithmic Equations12.7 Mathematical Modeling with Exponential and Logarithmic FunctionsAppendicesA: Factoring and LCMsB: Fraction NotationC: Exponential Notation and Order of OperationsD: Review of Factoring PolynomialsE: Introductory Algebra ReviewF: Handling Dimension SymbolsG: Mean, Median, and ModeH: Synthetic DivisionI: Determinants and Cramer’s RuleJ: Elimination Using MatricesK: The Algebra of FunctionsL: Distance, Midpoints, and Circles
