Prealgebra

1. WHOLE NUMBERS. An Introduction to the Whole Numbers. Adding and Subtracting Whole Numbers. Multiplying and Dividing Whole Numbers. Estimation. Prime Factors and Exponents. Order of Operations. Solving Equations by Addition and Subtraction. Solving Equations by Division and Multiplication. Key Concept: Variables. Accent on Teamwork. Chapter Review. Taking a Math Test. Chapter Test. 2. THE INTEGERS. An Introduction to the Integers. Addition of Integers. Subtraction of Integers. Multiplication of Integers. Division of Integers. Order of Operations and Estimation. Solving Equations Involving Integers. Key Concept: Signed Numbers. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 3. THE LANGUAGE OF ALGEBRA. Variables and Algebraic Expressions. Evaluating Algebraic Expressions and Formulas. Simplifying Algebraic Expressions and the Distributive Property. Combining Like Terms. Simplifying Expressions to Solve Equations. Problem Solving. Key Concept: Order of Operations. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 4. FRACTIONS AND MIXED NUMBERS. The Fundamental Property of Fractions. Multiplying Fractions. Dividing Fractions. Adding and Subtracting Fractions. The LCM and the GCF. Multiplying and Dividing Mixed Numbers. Adding and Subtracting Mixed Numbers. Order of Operations and Complex Fractions. Solving Equations Containing Fractions. Key Concept: The Fundamental Property of Fractions. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 5. DECIMALS. An Introduction to Decimals. Addition and Subtraction with Decimals. Multiplication with Decimals. Division with Decimals. Estimation. Fractions and Decimals. Solving Equations Containing Decimals. Square Roots. The Real Numbers. Key Concept: Simplify and Solve. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 6. GRAPHING, EXPONENTS, AND POLYNOMIALS. The Rectangular Coordinate System. Graphing Linear Equations. Multiplication Rules for Exponents. Introduction to Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Key Concept: Graphing. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 7. PERCENT. Percents, Decimals, and Fractions. Solving Percent Problems. Applications of Percent. Estimation. Interest. Key Concept: Equivalent Expressions. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 8. RATIO, PROPORTION, AND MEASUREMENT. Ratio. Proportions. American Units of Measurement. Metric Units of Measurement. Converting between American and Metric Units. Key Concept: Proportions. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 9. INTRODUCTION TO GEOMETRY. Some Basic Definitions. Parallel and Perpendicular Lines. Polygons. Properties of Triangles. Perimeters and Areas of Polygons. Circles. Surface Area and Volume. Key Concept: Formulas. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. Appendices: I. Inductive and Deductive Reasoning. II. Roots and Powers. III. Answers to Selected Exercises.