Synopses & Reviews
Introductory Algebra, 4e will be a review of fundamental math concepts for some students and may break new ground for others. Nevertheless, students of all backgrounds will be delighted to find a refreshing book that appeals to all learning styles and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master mathematics in the real world.
About the Author
Ignacio Bello attended the University of South Florida (USF), where he earned a B.A. and M.A. in Mathematics. He began teaching at USF in 1967, and in 1971 became a member of the Faculty at Hillsborough Community College (HCC) and Coordinator of the Math and Sciences Department. Professor Bello instituted the USF/HCC remedial program, a program that started with 17 students taking Intermediate Algebra and grew to more than 800 students with courses covering Developmental English, Reading, and Mathematics. Aside from the present series of books (Basic College Mathematics, Introductory Algebra, and Intermediate Algebra), Professor Bello is the author of more than 40 textbooks including Topics in Contemporary Mathematics (ninth edition), College Algebra, Algebra and Trigonometry, and Business Mathematics. Many of these textbooks have been translated into Spanish. With Professor Fran Hopf, Bello started the Algebra Hotline, the only live, college-level television help program in Florida. Professor Bello is featured in three television programs on the award-winning Education Channel. He has helped for the Finite Math, College Algebra, Intermediate Algebra, and Introductory Algebra, and CLAST classes at USF. Professor Bello is a member of the MAA and AMATYC and has given many presentations regarding the teaching of mathematics at the local, state, and national levels.
Table of Contents
Bello, Introductory Algebra, 4e
R. Prealgebra Review
R.1 Fractions: Building and Reducing
R.2 Operations with Fractions and Mixed Numbers
R.3 Decimals and Percents
1. Real Numbers and Their Properties
1.1 Introduction to Algebra
1.2 The Real Numbers
1.3 Adding and Subtracting Real Numbers
1.4 Multiplying and Dividing Real Numbers
1.5 Order of Operations
1.6 Properties of the Real Numbers
1.7 Simplifying Expressions
2. Equations, Problem Solving, and Inequalities
2.1 The Additions and Subtraction Properties of Equality
2.2 The Multiplication and Division Properties of Equality
2.3 Linear Equations
2.4 Problem Solving: Integer, General, and Geometry Problems
2.5 Problem Solving: Motion, Mixture, and Investment Problems
2.6 Formulas and Geometry Applications
2.7 Properties of Inequalities
3. Graphs of Linear Equations, Inequalities, and Applications
3.1 Line Graphs, Bar Graphs, and Applications
3.2 Graphing Linear Equations in Two Variables
3.3 Graphing Lines Using Intercepts: Horizontal and Vertical Lines
3.4 The Slope of a Line: Parallel and Perpendicular Lines
3.5 Graphing Lines Using Points and Slope
3.6 Applications of Equations of Lines
3.7 Graphing Inequalities in Two Variables
4. Exponents and Polynomials
4.1 The Product, Quotient, and Power Rules for Exponents
4.2 Integer Exponents
4.3 Application of Exponents: Scientific Notation
4.4 Polynomials: An Introduction
4.5 Addition and Subtraction of Polynomials
4.6 Multiplication of Polynomials
4.7 Special Products of Polynomials
4.8 Division of Polynomials
5. Factoring
5.1 Common Factors and Grouping
5.2 Factoring x2 + bx + c
5.3 Factoring ax2 + bx + c, a ¿ 1
5.4 Factoring Squares of Binomials
5.5 A General Factoring Strategy
5.6 Solving Quadratic Equations by Factoring
5.7 Applications of Quadratics
6. Rational Expressions
6.1 Building and Reducing Rational Expressions
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Complex Fractions
6.5 Solving Equations Containing Rational Expressions
6.6 Ration, Proportion, and Applications
6.7 Direct and Inverse Variation: Applications
7. Solving Systems of Linear Equations and Inequalities
7.1 Solving Systems of Equations by Graphing
7.2 Solving Systems of Equations by Substitution
7.3 Solving Systems of Equations by elimination
7.4 Coin, General, motion, and Investment Problems
7.5 Systems of Linear Inequalities
8. Roots and Radicals
8.1 Finding Roots
8.2 Multiplication and Division of Radicals
8.3 Addition and Subtraction of Radicals
8.4 Simplifying Radicals
8.5 Applications: Solving Radical Equations
9. Quadratic Equations
9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations by the Quadratic Formula
9.4 Graphing Quadratic Equations
9.5 The Pythagorean Theorem and Other Applications
9.6 Functions