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Summary
Intended for schools that want a single text covering the standard topics from Beginning and Intermediate Algebra. Topics are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text. The book's organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds. The inclusion of multiple perspectives -- verbal, numerical, algebraic, and graphical -- has proven popular with a broad cross section of students.
Table of Contents
1 Operations with Real Numbers and a Review of Geome
1.1 Preparing for an Algebra Class
1.2 The Real Number Line
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
1.5 Multiplication of Real Numbers and Natural Number Exponents
1.6 Division of Real Numbers
1.7 Order of Operations
2 Linear Equations and Patterns
2.1 The Rectangular Coordinate System and Arithmetic Sequences
2.2 Function Notation and Linear Functions
2.3 Graphs of Linear Equations in Two Variables
2.4 Solving Linear Equations in One Variable by Using the Addition-Subtraction Principle
2.5 Solving Linear Equations in One Variable by Using the Multiplication-Division Principle
2.6 Using and Rearranging Formulas
2.7 Proportions and Direct Variation
2.8 More Applications of Linear Equations
3 Lines and Systems of Linear Equations in Two Variables
3.1 Slope of a Line and Applications of Slope
3.2 Special Forms of Linear Equations in Two Variables
3.3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically
3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method
3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method
3.6 More Applications of Linear Systems
Cumulative Review of Chapters 1-3
4 Linear Inequalities and Systems of Linear Inequalities
4.1 Solving Linear Inequalities by Using the Addition-Subtraction Principle
4.2 Solving Linear Inequalities by Using the Multiplication-Divison Principle
4.3 Solving Compound Inequalities
4.4 Solving Absolute Value Equations and Inequalities
4.5 Graphing Systems of Linear Inequalities in Two Variables
5 Exponents and Operations with Polynomials
5.1 Product and Power Rules for Exponents
5.2 Quotient Rule and Zero Exponents
5.3 Negative Exponents and Scientific Notation
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6 Special Products of Binomials
5.7 Dividing Polynomials
Diagonostic Review of Beginning Algebra
6 Factoring Polynomials
6.1 An Introduction to Factoring Polynomials
6.2 Factoring Trinomials of the Form x2 + bxy + cy2
6.3 Factoring Trinomials of the Form ax2 + bxy + cy2
6.4 Factoring Special Forms
6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials
6.6 Solving Equations by Factoring
7 Solving Quadratic Equations
8 Functions: Linear, Absolute Value, and Quadratic
8.1 Functions and Representations of Functions
8.2 Linear and Absolute Value Functions
8.3 Linear and Quadratic Functions and Curve Fitting
8.4 Using the Quadratic Formula to find Real Solutions
8.5 The Vertex of a Parabola and Max-Min Applications
8.6 More Applications of Quadratic Equations
8.7 Complex Numbers and Solving Quadratic Equations with Complex Solutions
9 Rational Functions
9.1 Graphs of Rational Functions and Reducing Rational Expressions
9.2 Multiplying and Dividing Rational Expressions
9.3 Adding and Subtracting Rational Expressions
9.4 Combining Operations and Simplifying Complex Rational Expressions