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Full Description
The Bittinger 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 students apply and retain their knowledge.
Contents
1. Whole Numbers1.1 Standard Notation; Order1.2 Addition and Subtraction1.3 Multiplication and Division; Rounding and Estimating1.4 Solving Equations1.5 Applications and Problem Solving1.6 Exponential Notation and Order of Operations1.7 Factorizations1.8 Divisibility1.9 Least Common Multiples2. Fraction Notation2.1 Fraction Notation and Simplifying2.2 Multiplication and Division2.3 Addition and Subtraction; Order2.4 Mixed Numerals2.5 Applications and Problem Solving2.6 Order of Operations; Estimation3. Decimal Notation3.1 Decimal Notation, Order, and Rounding3.2 Addition and Subtraction3.3 Multiplication3.4 Division3.5 Converting from Fraction Notation to Decimal Notation3.6 Estimating3.7 Applications and Problem Solving4. Percent Notation4.1 Ratio and Proportion4.2 Percent Notation4.3 Percent Notation and Fraction Notation4.4 Solving Percent Problems Using Percent Equations4.5 Solving Percent Problems Using Proportions4.6 Applications of Percent4.7 Sales Tax, Commission, and Discount4.8 Simple Interest and Compound Interest; Credit Cards5. Data, Graphs, and Statistics5.1 Averages, Medians, and Modes5.2 Tables and Pictographs5.3 Bar Graphs and Line Graphs5.4 Circle Graphs6. Geometry6.1 Basic Geometric Figures6.2 Perimeter6.3 Area6.4 Circles6.5 Volume and Surface Area6.6 Relationships Between Angle Measures6.7 Congruent Triangles and Properties of Parallelograms6.8 Similar Triangles7. Introduction to Real Numbers and Algebraic Expressions7.1 Introduction to Algebra7.2 The Real Numbers7.3 Addition of Real Numbers7.4 Subtraction of Real Numbers7.5 Multiplication of Real Numbers7.6 Division of Real Numbers7.7 Properties of Real Numbers7.8 Simplifying Expressions; Order of Operations8. Solving Equations and Inequalities8.1 Solving Equations: The Addition Principle8.2 Solving Equations: The Multiplication Principle8.3 Using the Principles Together8.4 Formulas8.5 Applications of Percent8.6 Applications and Problem Solving8.7 Solving Inequalities8.8 Applications and Problem Solving with Inequalities9. Graphs of Linear Equations9.1 Graphs and Applications of Linear Equations9.2 More with Graphing and Intercepts9.3 Slope and Applications9.4 Equations of Lines9.5 Graphing Using the Slope and the y-intercept9.6 Parallel and Perpendicular Lines9.7 Graphing Inequalities in Two Variables10. Polynomials: Operations10.1 Integers as Exponents10.2 Exponents and Scientific Notation10.3 Introduction to Polynomials10.4 Addition and Subtraction of Polynomials10.5 Multiplication of Polynomials10.6 Special Products10.7 Operations with Polynomials in Several Variables10.8 Division of Polynomials11. Polynomials: Factoring11.1 Introduction to Factoring11.2 Factoring Trinomials of the type x + bx + c11.3 Factoring ax + bx + c, a 1; The FOIL Method11.4 Factoring ax + bx + c, a 1; The ac-Method11.5 Factoring Trinomial Squares and Differences of Squares11.6 Factoring: A General Strategy11.7 Solving Quadratic Equations by Factoring11.8 Applications of Quadratic Equations12. Rational Expressions and Equations12.1 Multiplying and Simplifying Rational Expressions12.2 Division and Reciprocals12.3 Least Common Multiples and Denominators12.4 Adding Rational Expressions12.5 Subtracting Rational Expressions12.6 Solving Rational Equations12.7 Applications Using Rational Equations and Proportions12.8 Complex Rational Expressions12.9 Direct Variation and Inverse Variation13. Systems of Equations13.1 Systems of Equations in Two Variables13.2 The Substitution Method13.3 The Elimination Method13.4 Applications and Problem Solving13.5 Applications with Motion14. Radical Expressions and Equations14.1 Introduction to Radical Expressions14.2 Multiplying and Simplifying with Radical Expressions14.3 Quotients Involving Radical Expressions14.4 Addition, Subtraction, and More Multiplication14.5 Radical Equations14.6 Applications with Right TrianglesAppendicesA. Linear Measures: American and Metric UnitsB. Weight and Mass: Medical ApplicationsC. Capacity; Medical ApplicationsD. Time and TemperatureE. SetsF. Factoring Sums and Differences of CubesG. Finding Equations of Lines: Point-Slope EquationH. Equations Involving Absolute ValueI. The Distance Formula and MidpointsJ. Higher Roots, and Rational Numbers as ExponentsK. Inequalities and Interval NotationL. Nonlinear InequalitiesM. Systems of Linear InequalitiesN. ProbabilityO. Complex Numbers
