Developmental Mathematics for College Students Book

1. WHOLE NUMBERS. An Introduction to the Whole Numbers. Adding Whole Numbers. Subtracting Whole Numbers. Multiplying Whole Numbers. Dividing Whole Numbers. Problem Solving. Prime Factors and Exponents. The Least Common Multiple and the Greatest Common Factor. Order of Operations. Chapter Summary and Review. Chapter Test. 2. THE INTEGERS. An Introduction to the Integers. Adding Integers. Subtracting Integers. Multiplying Integers. Dividing Integers. Order of Operations and Estimation. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 3. FRACTIONS AND MIXED NUMBERS. An Introduction to Fractions. Multiplying Fractions. Dividing Fractions. Adding and Subtracting Fractions. Multiplying and Dividing Mixed Numbers. Adding and Subtracting Mixed Numbers. Order of Operations and Complex Fractions. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 4. DECIMALS. An Introduction to Decimals. Adding and Subtracting Decimals. Multiplying Decimals. Dividing Decimals. Fractions and Decimals. Square Roots. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 5. RATIO, PROPORTION, AND PERCENT. Ratios. Proportions. Percents, Decimals, and Fractions. Solving Percent Problems Using Equations and Proportions. Applications of Percents. Estimation with Percent. Interest. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 6. GRAPHS AND STATISTICS. Reading Graphs and Tables. Mean, Median, and Mode. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 7. AN INTRODUCTION TO ALGEBRA. The Language of Algebra. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers; Multiplication and Division Properties. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 8. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving Equations Using Properties of Equality. More About Solving Equations. Formulas. Problem Solving. More About Problem Solving. Solving Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 9. GRAPHS, LINEAR EQUATIONS, AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS. Graphing Using the Rectangular Coordinate System. Equations Containing Two Variables. Graphing Linear Equations. Rate of Change and the Slope of a Line. Slope-Intercept Form. Point-Slope Form; Writing Linear Equations. Graphing Linear Inequalities. Functions. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 10. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Addition (Elimination). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 11. EXPONENTS AND POLYNOMIALS. Natural-Number Exponents; Rules of Exponents. Zero and Negative Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 12. FACTORING AND QUADRATIC EQUATIONS. The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c. Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 13. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Variation. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 14. ROOTS AND RADICALS. Square Roots. Higher-Order Roots; Radicands That Contain Variables. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations; The Distance Formula. Rational Exponents. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 15. QUADRATIC EQUATIONS. Solving Quadratic Equations: The Square Root Property. Solving Quadratic Equations: Completing the Square. Solving Quadratic Equations: The Quadratic Formula. Graphing Quadratic Equations. Complex Numbers. Chapter Summary and Review. Chapter Test. Cumulative Review (online). Appendix I: Addition and Multiplication Facts. Appendix II: Inductive and Deductive Reasoning. Appendix III: Roots and Powers. Appendix IV: Answers to Selected Exercises (appears in the Student Edition only). Appendix V: Measurement (online). V.1 American Units of Measurement. V.2 Metric Units of Measurement. V.3 Converting between American and Metric Units. Appendix VI: An Introduction to Geometry. VI.1 Basic Geometric Figures; Angles. VI.2 Parallel and Perpendicular Lines. VI.3 Triangles. VI.4 The Pythagorean Theorem. VI.5 Congruent Triangles and Similar Triangles. VI.6 Quadrilaterals and Other Polygons. VI.7 Perimeters and Areas of Polygons. VI.8 Circles. VI.9 Volume.