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Full Description
The Bittinger Concepts and Applications Program delivers proven pedagogy, guiding students from skills-based math to the concepts-oriented math required for college courses.KEY TOPICS: Introduction to Algebraic Expressions; Equations, Inequalities, and Problem Solving; Introduction to Graphing; Polynomials; Polynomials and Factoring; Rational Expressions and Equations; Systems and More Graphing; Radical Expressions and Equations; Quadratic EquationsMARKET: For all readers interested in algebra.
Contents
1. Introduction to Algebraic Expressions1.1 Introduction to Algebra1.2 The Commutative, Associative, and Distributive Laws1.3 Fraction Notation1.4 Positive and Negative Real Numbers1.5 Addition of Real Numbers1.6 Subtraction of Real Numbers1.7 Multiplication and Division of Real Numbers1.8 Exponential Notation and Order of Operations2. Equations, Inequalities, and Problem Solving2.1 Solving Equations2.2 Using the Principles Together2.3 Formulas2.4 Applications with Percent2.5 Problem Solving2.6 Solving Inequalities2.7 Solving Applications with Inequalities3. Introduction to Graphing3.1 Reading Graphs, Plotting Points, and Scaling Graphs3.2 Graphing Linear Equations3.3 Graphing and Intercepts3.4 Rates3.5 Slope3.6 Slope-Intercept Form3.7 Point-Slope Form4. Polynomials4.1 Exponents and Their Properties4.2 Polynomials4.3 Addition and Subtraction of Polynomials4.4 Multiplication of Polynomials4.5 Special Products4.6 Polynomials in Several Variables4.7 Division of Polynomials4.8 Negative Exponents and Scientific Notation5. Polynomials and Factoring5.1 Introduction to Factoring5.2 Factoring Trinomials of the Type x2 + bx + c5.3 Factoring Trinomials of the Type ax2 + bx + c5.4 Factoring Perfect-Square Trinomials and Difference of Squares5.5 Factoring: A General Strategy5.6 Solving Quadratic Equations by Factoring5.7 Solving Applications6. Rational Expressions and Equations6.1 Rational Expressions6.2 Multiplication and Division6.3 Addition, Subtraction, and Least Common Denominators6.4 Addition and Subtraction with Unlike Denominators6.5 Complex Rational Expressions6.6 Rational Equations6.7 Applications Using Rational Equations and Proportions7. Systems and More Graphing7.1 Systems of Equations and Graphing7.2 Systems of Equations and Substitution7.3 Systems of Equations and Elimination7.4 More Applications Using Systems7.5 Linear Inequalities in Two Variables7.6 Systems of Linear Inequalities7.7 Direct Variation and Inverse Variation8. Radical Expressions and Equations8.1 Introduction to Square Roots and Radical Expressions8.2 Multiplying and Simplifying Radical Expressions8.3 Quotients Involving Square Roots8.4 Radical Expressions with Several Terms8.5 Radical Equations8.6 Applications Using Right Triangles8.7 Higher Roots and Rational Exponents9. Quadratic Equations9.1 Solving Quadratic Equations: The Principle of Square Roots9.2 Solving Quadratic Equations: Completing the Square9.3 The Quadratic Formula and Applications9.4 Formulas9.5 Complex Numbers as Solutions of Quadratic Equations9.6 Graphs of Quadratic Functions9.7 Functions Appendix A. Factoring Sums or Differences of CubesAppendix B. Mean, Median, and ModeAppendix C. Sets
