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1. Whole Numbers 1.1 Introduction to Numbers, Notation, and Rounding 1.2 Adding and Subtracting Whole Numbers; Solving Equations 1.3 Multiplying Whole Numbers; Solving Equations 1.4 Dividing Whole Numbers; Solving Equations 1.5 Order of Operations; Mean, Median, and Mode 1.6 More with Formulas 2. Integers 2.1 Introduction to Integers 2.2 Adding Integers 2.3. Subtracting Integers and Solving Equations 2.4 Multiplying and Dividing Integers; Exponents; Square Roots; Solving Equations 2.5 Order of Operations 2.6 Additional Applications and Problem Solving 3. Expressions 3.1 Translating and Evaluating Expressions 3.2 The Distributive Property; Combining Like Terms 3.3 Equations and their Solutions 3.4 The Addition Principle of Equality 3.5 The Multiplication Principle of Equality 3.6 Translating Word Sentences of Equations 4. Fractions 4.1 Prime Numbers and GCF 4.2 Introduction to Fractions 4.3 Simplifying Fractions 4.4 Multiplying Fractions and Mixed Numbers 4.5 Dividing Fractions and Mixed Numbers 5. Adding and Subtracting Fractions 5.1 Least Common Multiple 5.2 Adding and Subtracting Fractions and Mixed Numbers 5.3 Order of Operations; Evaluating and Simplifying Expressions 5.4 Solving Equations 6. Decimals 6.1 Introduction to Decimal Numbers 6.2 Adding and Subtracting Decimal Numbers 6.3 Multiplying Decimal Numbers; Exponents with Decimal Bases 6.4 Dividing Decimal Numbers; Square Roots with Decimals 6.5 Order of Operations and Applications in Geometry 6.6 Solving Equations and Problem Solving 6.7 Points, Lines, and Angles 7. Ratios, Proportions and Measurements 7.1 Ratios, Probability, and Rate 7.2 Proportions 7.3 American Measurement; Time 7.4 Metric Measurement 7.5 Converting between Systems; Temperature 7.6 Applications and Problem Solving 8. Percents 8.1 Introduction to Percent 8.2 Solving Basic Percent Sentences 8.3 Solving Percent Problems (Proportions) 8.4 Solving Problems Involving Percent of Increase or Decrease 8.5 Solving Problems Involving Interest 9. Linear Equations and Inequalities in One Variable 9.1 Linear Equations and Formulas 9.2 Solving Problems 9.3 Solving Linear Inequalities 9.4 Compound Inequalities 9.5 Equations Involving Absolute Value 9.6 Inequalities Involving Absolute Value 10. Graphing Linear Equations and Inequalities 10.1 The Rectangular Coordinate System 10.2 Graphing Linear Equations 10.3 Graphing Using Intercepts 10.4 Slope-Intercept Form 10.5 Point-Slope Form 10.6 Graphing Linear Inequalities 10.7 Introduction to Functions and Function Notation 11. Systems of Linear Equations and Inequalities 11.1 Solving Systems of Linear Equations Graphically 11.2 Solving Systems of Linear Equations by Substitution; Application 11.3 Solving Systems of Linear Equations by Elimination; Applications 11.4 Solving Systems of Linear Equations in Three Variables; Applications 11.5 Solving Systems of Linear Equations Using Matrices 11.6 Solving Systems of Linear Inequalities 12. Polynomials 12.1 Exponents and Scientific Notations 12.2 Introduction to Polynomials 12.3 Adding and Subtracting Polynomials 12.4 Exponent Rules and Multiplying Monomials 12.5 Multiplying Polynomials; Special Products 12.6 Exponent Rules and Dividing Polynomials 13. Factoring 13.1 Greatest Common Factor and Factoring by Grouping 13.2 Factoring Trinomials of the form x2+bx+c 13.3 Factoring Trinomials of the form ax2+bx+c, where a≠1 13.4 Factoring Special Products 13.5 Strategies for Factoring 13.6 Solving Quadratic Equations by Factoring 13.7 Graphs of Quadratic Equations and Functions 14. Rational Expressions and Equations 14.1 Simplifying Rational Expressions 14.2 Multiplying and Dividing Rational Expressions 14.3 Adding and Subtracting Rational Expressions with the Same Denominator 14.4 Adding and Subtracting Rational Expressions with Different Denominators 14.5 Complex Rational Expressions 14.6 Solving Equations Containing Rational Expressions 14.7 Applications with Rational Expressions, Including Variation 15. Rational Exponents, Radicals, and Complex Numbers 15.1 Radical Expressions and Functions 15.2 Rational Exponents 15.3 Multiplying, Dividing, and Simplifying Radicals 15.4 Adding, Subtracting, and Multiplying Radical Expressions 15.5 Rationalizing Numerators and Denominators of Radical Expressions 15.6 Radical Equations and Problem Solving 15.7 Complex Numbers 16. Quadratic Equations and Functions 16.1 The Square Root Principle and Completing the Square 16.2 Solving Quadratic Equations using the Quadratic Formula 16.3 Solving Equations the are Quadratic in Form 16.4 Graphing Quadratic Functions 16.5 Solving Nonlinear Inequalities 16.6 Function Operations 17. Exponential and Logarithmic Functions 17.1 Composite and Inverse Functions 17.2 Exponential Functions 17.3 Logarithmic Functions 17.4 Properties of Logarithms 17.5 Common and Natural Logarithms 17.6 Exponential and Logarithmic Equations with Applications 18. Conic Sections 18.1 Parabolas and Circles 18.2 Ellipses and Hyperbolas 18.3 Nonlinear Systems of Equations 18.4 Nonlinear Inequalities and Systems of Inequalities Table of Contents
Get Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra by Tom Carson, San Diego Mesa College Bill E. Jordan, Seminole State College of Florida
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