| Algebra has a scope far wider than traditional
algebra books, highlighting applications, using statistics and geometry
to develop the algebra of linear equations and inequalities, and
including probability concepts in conjunction with algebraic fractions.
Applications motivate virtually all lessons. Considerable attention is
given to graphing. Manipulation with rational algebraic expressions is
delayed until the later courses. 1st edition, ©1990, 1993; 2nd edition,
©1996
Table of Contents (2nd edition)
1-1: Variables in Sentences; 1-2: Sets and Domains; 1-3: Operations with Sets; 1-4: Variables in Expressions; 1-5: Variables in Formulas; 1-6: Square Roots and Variables; 1-7: Variables and Patterns; 1-8: The Pythagorean Theorem; 1-9 Variables from Tables.
2-1: Areas, Arrays, and Volumes; 2-2: Special Numbers in Multiplication; 2-3: Multiplying Algebraic Fractions; 2-4: Multiplying Rates; 2-5: Products and Powers with Negative Numbers; 2-6: Solving ax = b; 2-7: Special Numbers in Equations; 2-8: Solving ax < b; 2-9: The Multiplication Counting Principle; 2-10: Factorials and Permutations.
3-1: Models and Properties of Addition; 3-2: More Properties of Addition; 3-3: The Coordinate Plane; 3-4: Two Dimensional Slides; 3-5: Solving ax + b = c; 3-6: The Distributive Property and Adding Like Terms; 3-7: The Distributive Property and Removing Parentheses; 3-8: Writing Linear Expressions; 3-9: Adding Algebraic Fractions; 3-10: Solving ax + b < c.
4-1: Subtraction of Real Numbers; 4-2: Models for Subtraction; 4-3: Solving Sentences Involving Subtraction; 4-4: Spreadsheets; 4-5: The Opposite of a Sum or Difference; 4-6: Graphing x + y = k and x - y = k; 4-7: Sums and Differences in Geometry; 4-8: The Triangle Inequality; 4-9: Graphing Linear Patterns.
5-1: Horizontal and Vertical Lines; 5-2: Using Tables to Compare Linear Expressions; 5-3: Solving ax + b = cx + d; 5-4: Using Graphs to Compare Linear Expressions; 5-5: Using an Automatic Grapher; 5-6: Solving ax + b < cx + d; 5-7: Equivalent Formulas; 5-8: Advanced Solving Technique I: Multiplying Through; 5-9: Advanced Solving Technique II: Chunking.
6-1: The Algebraic Definition of Division; 6-2: Rates; 6-3: Ratios; 6-4: Relative Frequency and Probability; 6-5 Solving Percent Problems Using Equations; 6-6: Probability Without Counting; 6-7: Size Changes; 6-8: Proportions; 6-9: Similar Figures.
7-1: Rates of Change; 7-2: The Slope of a Line; 7-3: Properties of Slope; 7-5: Equations for Lines with a Given Point and Slope; 7-6: Equations for Lines Through Two Points; 7-7: Fitting a Line to Data; 7-8: Equations for All Lines; 7-9: Graphing Linear Inequalities.
8-1: Compound Interest; 8-2: Exponential Growth; 8-3: Comparing Constant Increase and Exponential Growth; 8-4: Exponential Decay; 8-5: Products and Powers of Powers; 8-6: Negative Exponents; 8-7: Quotients of Powers; 8-8: Powers of Products and Quotients; 8-9: Remembering Properties of Exponents and Powers.
9-1: Graphing y =ax2; 9-2: Graphing y = ax2 + bx + c; 9-3: Graphing Parabolas with an Automatic Grapher; 9-4: Quadratic Equations and Projectiles; 9-5: The Quadratic Formula; 9-6: Analyzing Solutions to Quadratic Equations; 9-7: Square Roots and Products; 9-8: Absolute Value, Distance, and Square Roots; 9-9: Distances in the Plane.
10-1: What Are Polynomials? 10-2: Investments and Polynomials; 10-3: Multiplying a Polynomial by a Monomial; 10-4: Multiplying Polynomials; 10-5: Multiplying Binomials; 10-6: Special Binomial Products; 10-7: The Chi-Square Statistic.
11-1: An Introduction to Systems; 11-2: Solving Systems Using Substitution; 11-3: More Uses of Substitution; 11-4: Solving Systems by Addition; 11-5: Solving Systems by Multiplication; 11-6: Systems and Parallel Lines; 11-7: Situations Which Always or Never Happen; 11-8: Systems of Inequalities.
12-1: Factoring Integers into Primes; 12-2: Common Monomial Factoring; 12-3: Factoring x2 + bx + c; 12-4: Solving Some Quadratic Equations by Factoring; 12-5: Factoring ax2 + bx + c; 12-6: How Was the Quadratic Formula Found? 12-7: Rational Numbers and Irrational Numbers; 12-8: Which Quadratic Expressions Are Factorable?
13-1: What Is a Function? 13-2: Function Notation; 13-3: Absolute Value Functions; 13-4: Domain and Range; 13-5: Probability Functions; 13-6: Polynomial Functions; 13-7: The Tangent Function; 13-8: Functions on Calculators and Computers.
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