Includes index.

From Arithemetic to Algebra -- Representing Numbers by Letters -- Interchanging Numbers in Addition -- Interchanging Numbers in Multiplication -- Symbolizing the Operations in Algebra -- Expressing Addition and Subtraction Algebraically -- Expressing Multiplication and Division Algebraically -- Expressing Two or More Operations Algebraically -- Order in Which Fundamental Operations Are Performed -- The Uses of Parentheses: Changing the Order of Operations -- Multiplying Factors in Terms: Numerical and Literal Coefficients -- Repeated Multiplying of a Factor: Base, Exponent, and Power -- Combining Like and Unlike Terms -- Simple Equations and Their Solutions -- Kinds of Equalities: Equations and Identities -- Translating Verbal Statements into Equations -- Solving Simple Equations by Using Inverse Operations -- Rules of Equality for Solving Equations -- Using Division to Solve an Equation -- Using Multiplication to Solve an Equation -- Using Subtraction to Solve an Equation -- Using Addition to Solve an Equation -- Using Two or More Operations to Solve an Equation -- Signed Numbers -- Understanding Signed Numbers: Positive and Negative Numbers -- Using Number Scales for Signed Numbers -- Adding Signed Numbers -- Simplifying the Addition of Signed Numbers -- Subtracting Signed Numbers -- Multiplying Signed Numbers -- Finding Powers of Signed Numbers -- Dividing Signed Numbers -- Evaluating Expressions Having Signed Numbers -- Introduction to Monomials and Polynomials -- Understanding Monomials and Polynomials -- Adding Monomials -- Arranging and Adding Polynomials -- Subtracting Monomials -- Subtracting Polynomials -- Using Parentheses and Other Grouping Symbols to Add or Subtract Polynomials -- Multiplying Monomials and Powers of the Same Base -- Multiplying a Polynomial by a Monomial -- Multiplying Polynomials -- Dividing Powers and Monomials -- Dividing a Polynomial by a Monomial -- Dividing a Polynomial by a Polynomial -- First-Degree Equations -- Reviewing the Solution of First-Degree Equations Having Positive Roots -- Solving First-Degree Equations Having Negative Solutions -- Solving Equations by Transposing -- Solving Equations Containing Parentheses -- Solving Equations Containing One Fraction or Fractions Having the Same Denominator -- Solving Equations Containing Fractions Having Different Denominators: Lowest Common Denominator -- Solving Equations Containing Decimals -- Solving Literal Equations -- The Graphing Calculator -- Formulas -- Points and Lines -- Understanding Polygons, Circles, and Solids -- Formulas for Perimeters and Circumferences: Linear Measure -- Formulas for Areas: Square Measure -- Formulas for Volumes: Cubic Measure -- Deriving Formulas -- Transforming Formulas -- Finding the Value of an Unknown in a Formula -- Graphs of Linear Equations -- Understanding Graphs -- Graphing Linear Equations -- Solving a Pair of Linear Equations Graphically -- Deriving a Linear Equation from a Table of Values -- Midpoint of a Segment -- Distance between Two Points -- Introduction to Simultaneous Equations -- Solving a Pair of Equations by Addition or Subtraction -- Solving a Pair of Equations by Substitution -- Problem Solving and Mathematical Modeling -- Number Problems Having One Unknown: Introduction to Problem Solving -- Number Problems Having Two Unknowns -- Consecutive-Integer Problems -- Age Problems -- Ratio Problems -- Angle Problems -- Perimeter Problems -- Coin or Stamp Problems -- Cost and Mixture Problems -- Investment or Interest Problems -- Motion Problems -- Mathematical Modeling -- Products and Factoring -- Understanding Factors and Products -- Factoring a Polynomial Having a Common Monomial Factor -- Squaring a Monomial -- Finding the Square Root of a Monomial -- Finding the Product of the Sum and Difference of Two Numbers -- Factoring the Difference of Two Squares -- Finding the Product of Two Binomials with Like Terms -- Factoring Trinomials in Form of x[superscript 2] + bx + c -- Factoring a Trinomial in Form of ax[superscript 2] + bx + c -- Squaring a Binomial -- Factoring a Perfect-Square Trinomial -- Completely Factoring Polynomials -- The Variable: Direct and Inverse Variation -- Understanding Direct Variation: y = kx or y / x = k -- Understanding Inverse Variation: xy = k -- Fractions -- Understanding Fractions -- Changing Fractions to Equivalent Fractions -- Reciprocals and Their Uses -- Reducing Fractions to Lowest Terms -- Multiplying Fractions -- Dividing Fractions -- Adding or Subtracting Fractions Having the Same Denominator -- Adding or Subtracting Fractions Having Different Denominators -- Simplifying Complex Fractions -- Roots and Radicals -- Understanding Roots and Radicals -- Understanding Rational and Irrational Numbers -- Finding the Square Root of a Number by Using a Graph -- Finding the Square Root of a Number by Using a Table or Calculator -- Simplifying the Square Root of a Product -- Simplifying the Square Root of a Fraction -- Adding and Subtracting Square Roots of Numbers -- Multiplying Square Roots of Numbers -- Dividing Square Roots of Numbers -- Rationalizing the Denominator of a Fraction -- Solving Radical Equations -- Quadratic Equations -- Understanding Quadratic Equations in One Unknown -- Solving Quadratic Equations by Factoring -- Solving Incomplete Quadratic Equations -- Solving a Quadratic Equation by Completing the Square -- Solving a Quadratic Equation by Quadratic Formula -- Solving Quadratic Equations Graphically -- The Pythagorean Theorem and Similar Triangles -- Law of Pythagoras -- Proportions: Equal Ratios -- Similar Triangles -- Introduction to Trigonometry -- Understanding Trigonometric Ratios -- Trigonometric Functions of an Acute Angle -- Trigonometric Functions of Complementary Angles -- Trigonometric Functions of 30[degree], 45[degree], 60[degree] -- Introduction to Geometry -- Solving Problems Graphically -- Understanding the Slope of a Line -- Understanding Congruent Triangles -- Understanding Symmetry -- Transformations -- Review of Arithmetic -- The Whole Numbers -- Fractions -- Decimals -- Reviewing Percents and Percentage -- The Use of Calculators -- Using a Calculator to Perform the Fundamental Operations of Arithmetic -- Introduction to the Graphing Calculator.

This edition of the perennial bestseller defines the recent changes in how elementary algebra is taught and introduces a new perspective on the discipline.