Elementary Algebra: Structure and Use

1. NATURAL NUMBERS 1.1 The Natural Numbers 1.2 The Transition from Arithmetic to Algebra 1.3 Equality and Inequality 1.4 Properties of Addition and Multiplication 1.5 Exponents and Order of Operations 1.6 Relating Addition and Multiplication 1.7 Rewriting Algebraic Expressions 2. INTEGERS 2.1 The Set of Integers 2.2 Opposites and Absolute Values 2.3 Addition 2.4 Subtraction 2.5 Multiplication and Division 2.6 Simplifying Algebraic Expressions 2.7 Solving Equations 2.8 Word Problems and Applications 3. RATIONAL NUMBERS 3.1 Fractions, Decimals, and Percent (Optional Review) 3.2 Rational Numbers and the Fundamental Principle of Fractions 3.3 Multiplication and Division 3.4 Addition and Subtraction 3.5 Solving Equations Involving Fractions and Decimals 3.6 Word Problems 3.7 Ratio and Proportion 3.8 Supplemental Applications 4 GRAPHING AND LINEAR EQUATIONS 4.1 Real Numbers and the Cartesian Coordinate System 4.2 Equations and Straight Lines 4.3 Slope of a Line 4.4 Systems of Equations and Solving by Graphing 4.5 Solving Systems Using Elimination by Substitution 4.6 Solving Systems Using Elimination by Addition 4.7 Rate-Time problems 4.8 Mixture Problems 4.9 Supplemental Applications INEQUALITIES IN ONE AND TWO VARIABLES 5.1 Inequality Statements and Line Graphs 5.2 Solving Linear Inequalitites in One Variable 5.3 Graphing Linear Inequalities in Two Variables 5.4 Systems of Linear Inequalities in Two Variables 6. OPERATIONS ON POLYNOMIALS AND FACTORING 6.1 Polynomial Addition and Subtraction 6.2 Polynomial Multiplication 6.3 Factoring out Common Factors 6.4 Factoring Some Basic Forms of Second-Degree Polynomials 6.5 Factoring Second-Degree Polynomials by Trial and Error 6.6 Factoring Second-Degree Polynomials Systematically 6.7 Higher Degree Polynomials and More Factoring 6.8 Solving Equations by Factoring 6.9 Algebraic Long Division 7. FRACTIONAL FORMS 7.1 Reducing to Lowest Terms 7.2 Multiplication and Division 7.3 Addition and Subtraction 7.4 Solving Equations Involving Fractional Forms 7.5 Formulas and Equations with Several Variables 7.6 Complex Fractions 8. EXPONENTS AND RADICALS 8.1 Natural Number Exponents 8.2 Integer Exponents 8.3 Scientific Notation 8.4 Square Roots and Radicals 8.5 Sums and Differences Involving Radicals 8.6 Products and Quotients Involving Radicals 8.7 Radical Equations 9. QUADRATIC EQUATIONS 9.1 Solution by Factoring and by Square Root 9.2 Solution by Completing the Square 9.3 The Quadratic Formula 9.4 Graphing Quadratic Equations 9.5 Applications.