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1. The Whole Numbers 1.1 Tips for Success in Mathematics 1.2 Place Value, Names for Numbers, and Reading Tables 1.3 Adding and Subtracting Whole Numbers, and Perimeter 1.4 Rounding and Estimating 1.5 Multiplying Whole Numbers and Area 1.6 Dividing Whole Numbers Integrated Review–Operations on Whole Numbers 1.7 Exponents and Order of Operations 1.8 Introduction to Variables, Algebraic Expressions, and Equations 2. Integers and Introduction to Solving Equations 2.1 Introduction to Integers 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers Integrated Review–Integers 2.5 Order of Operations 2.6 Solving Equations: The Addition and Multiplication Properties 3. Solving Equations and Problem Solving 3.1 Simplifying Algebraic Expressions 3.2 Solving Equations: Review of the Addition and Multiplication Properties Integrated Review–Expressions and Equations 3.3 Solving Linear Equations in One Variable 3.4 Linear Equations in One Variable and Problem Solving 4. Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers 4.2 Factors and Simplest Form 4.3 Multiplying and Dividing Fractions 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions 4.5 Adding and Subtracting Unlike Fractions Integrated Review–Summary on Fractions and Operations on Fractions 4.6 Complex Fractions and Review of Order of Operations 4.7 Operations on Mixed Numbers 4.8 Solving Equations Containing Fractions 5. Decimals 5.1 Introduction to Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals and Circumference of a Circle 5.4 Dividing Decimals Integrated Review–Operations on Decimals 5.5 Fractions, Decimals, and Order of Operations 5.6 Solving Equations Containing Decimals 5.7 Decimal Applications: Mean, Median, and Mode 6. Ratio, Proportion, and Percent 6.1 Ratio and Proportion 6.2 Percents, Decimals, and Fractions 6.3 Solving Percent Problems with Equations 6.4 Solving Percent Problems with Proportions Integrated Review–Ratio, Proportion, and Percent 6.5 Applications of Percent 6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount 6.7 Percent and Problem Solving: Interest 7. Graphs and Triangle Applications 7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs 7.2 Reading and Drawing Circle Graphs Integrated Review–Reading Graphs 7.3 Square Roots and the Pythagorean Theorem 7.4 Congruent and Similar Triangles 7.5 Counting and Introduction to Probability 8. Geometry and Measurement 8.1 Lines and Angles 8.2 Perimeter 8.3 Area, Volume, and Surface Area Integrated Review–Geometry Concepts 8.4 Linear Measurement 8.5 Weight and Mass 8.6 Capacity 8.7 Temperature and Conversions Between the U.S. and Metric Systems 9. Equations, Inequalities, and Problem Solving 9.1 Symbols and Sets of Numbers 9.2 Properties of Real Numbers 9.3 Further Solving Linear Equations Integrated Review–Real Numbers and Solving Linear Equations 9.4 Further Problem Solving 9.5 Formulas and Problem Solving 9.6 Linear Inequalities and Problem Solving 10. Exponents and Polynomials 10.1 Exponents 10.2 Negative Exponents and Scientific Notation 10.3 Introduction to Polynomials 10.4 Adding and Subtracting Polynomials 10.5 Multiplying Polynomials 10.6 Special Products Integrated Review–Exponents and Operations on Polynomials 10.7 Dividing Polynomials 11. Factoring Polynomials 11.1 The Greatest Common Factor 11.2 Factoring Trinomials of the Form x2+ bx + c 11.3 Factoring Trinomials of the Form ax2 + bx + c 11.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares Integrated Review–Choosing a Factoring Strategy 11.6 Solving Quadratic Equations by Factoring 11.7 Quadratic Equations and Problem Solving 12. Rational Expressions 12.1 Simplifying Rational Expressions 12.2 Multiplying and Dividing Rational Expressions 12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 12.4 Adding and Subtracting Rational Expressions with Different Denominators 12.5 Solving Equations Containing Rational Expressions Integrated Review–Summary on Rational Expressions 12.6 Rational Equations and Problem Solving 12.7 Simplifying Complex Fractions 13. Graphing Equations and Inequalities 13.1 The Rectangular Coordinate System 13.2 Graphing Linear Equations 13.3 Intercepts 13.4 Slope and Rate of Change 13.5 Equations of Lines Integrated Review–Summary on Linear Equations 13.6 Introduction to Functions 13.7 Graphing Linear Inequalities in Two Variables 13.8 Direct and Inverse Variation 14. Systems of Equations 14.1 Solving Systems of Linear Equations by Graphing 14.2 Solving Systems of Linear Equations by Substitution 14.3 Solving Systems of Linear Equations by Addition Integrated Review–Summary on Solving Systems of Equations 14.4 Systems of Linear Equations and Problem Solving 15. Roots and Radicals 15.1 Introduction to Radicals 15.2 Simplifying Radicals 15.3 Adding and Subtracting Radicals 15.4 Multiplying and Dividing Radicals Integrated Review–Simplifying Radicals 15.5 Solving Equations Containing Radicals 15.6 Radical Equations and Problem Solving 16. Quadratic Equations 16.1 Solving Quadratic Equations by the Square Root Property 16.2 Solving Quadratic Equations by Completing the Square 16.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review–Summary of Solving Quadratic Equations 16.4 Graphing Quadratic Equations in Two Variables Appendices Appendix A. Tables 1. Geometric Figures 2. Percents, Decimals, and Fraction Equivalents 3. Finding Common Percents of a Number 4. Squares and Square Roots Appendix B. Factoring Sums and Differences of Cubes Appendix C. Mixture and Uniform Motion Problem Solving Appendix D. Systems of Linear Inequalities Appendix E. Geometric Formulas Student Resources Study Skills Builders Bigger Picture—Study Guide Outline Practice Final Exam Answers to Selected Exercises Table of Contents
Get Prealgebra & Introductory Algebra, 3rd Edition by Elayn Martin-Gay, University of New Orleans, Lakefront
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