Lial and Hestwood's Prealgebra: An Integrated Approach focuses on the basic concepts of algebra, while integrating arithmetic review and geometry topics into the text at appropriate points. The text begins with early coverage of integers (Section 1.2) and then introduces variables, expressions, and equations in such a way that students see the need for variables, the usefulness of algebraic expressions and formulas, and the power of writing and solving equations.
Index of Group Activities Preface Feature Walk-Through An Introduction to Scientific Calculators To The Student Diagnostic Pretest 1. Introduction to Algebra: Integers 1.1 Place Value 1.2 Introduction to Signed Numbers 1.3 Adding Integers 1.4 Subtracting Integers 1.5 Problem Solving: Rounding and Estimating 1.6 Multiplying Integers 1.7 Dividing Integers Summary Exercises on Operations with Integers 1.8 Exponents and Order of Operations Summary ~ Review Exercises ~ Test 2. Understanding Variables and Solving Equations 2.1 Introduction to Variables 2.2 Simplifying Expressions Summary Exercises on Variables and Expressions 2.3 Solving Equations Using Addition 2.4 Solving Equations Using Division 2.5 Solving Equations with Several Steps Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 3. Solving Application Problems 3.1 Problem Solving: Perimeter 3.2 Problem Solving: Area Summary Exercises on Perimeter and Area 3.3 Solving Application Problems with One Unknown Quantity 3.4 Solving Application Problems with Two Unknown Quantities Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 4. Rational Numbers: Positive and Negative Fractions 4.1 Introduction to Signed Fractions 4.2 Writing Fractions in Lowest Terms 4.3 Multiplying and Dividing Signed Fractions 4.4 Adding and Subtracting Signed Fractions 4.5 Problem Solving: Mixed Numbers and Estimating Summary Exercises on Fractions 4.6 Exponents, Order of Operations, and Complex Fractions 4.7 Problem Solving: Equations Containing Fractions 4.8 Geometry Applications: Area and Volume Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 5. Rational Numbers: Positive and Negative Decimals 5.1 Reading and Writing Decimal Numbers 5.2 Rounding Decimal Numbers 5.3 Adding and Subtracting Signed Decimal Numbers 5.4 Multiplying Signed Decimal Numbers 5.5 Dividing Signed Decimal Numbers Summary Exercises on Decimals 5.6 Fractions and Decimals 5.7 Problem Solving with Statistics: Mean, Median, Mode, and Variability 5.8 Geometry Applications: Pythagorean Theorem and Square Roots 5.9 Problem Solving: Equations Containing Decimals 5.10 Geometry Applications: Circles, Cylinders, and Surface Area Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 6. Ratio, Proportion, and Line/Angle/Triangle Relationships 6.1 Ratios 6.2 Rates 6.3 Proportions Summary Exercises on Ratios, Rates, and Proportions 6.4 Problem Solving with Proportions 6.5 Geometry: Lines and Angles 6.6 Geometry Applications: Congruent and Similar Triangles Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 7. Percent 7.1 The Basics of Percent 7.2 The Percent Proportion 7.3 The Percent Equation Summary Exercises on Percent 7.4 Problem Solving with Percent 7.5 Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 8. Measurement 8.1 Problem Solving with English Measurement 8.2 The Metric System-Length 8.3 The Metric System-Capacity and Weight (Mass) 8.4 Problem Solving with Metric Measurements 8.5 Metric-English Conversions and Temperature Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 9. Graphs 9.1 Problem Solving with Tables and Pictographs 9.2 Reading and Constructing Circle Graphs 9.3 Bar Graphs and Line Graphs 9.4 The Rectangular Coordinate System 9.5 Introduction to Graphing Linear Equations Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises 10. Exponents and Polynomials 10.1 The Product Rule and Power Rules for Exponents 10.2 Integer Exponents and the Quotient Rule Summary Exercises on Exponents 10.3 An Application of Exponents: Scientific Notation 10.4 Adding and Subtracting Polynomials 10.5 Multiplying Polynomials: An Introduction Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises R. Whole Numbers Review Whole Numbers Computation: Pretest R.1 Adding Whole Numbers R.2 Subtracting Whole Numbers R.3 Multiplying Whole Numbers R.4 Dividing Whole Numbers R.5 Long Division Summary ~ Review Exercises ~ Test Appendix A: Study Skills Appendix B: Inductive and Deductive Reasoning Answers to Selected Exercises Index