Intermediate Algebra with Mathzone

by Bello, Ignacio; Hopf, Fran

• ISBN13: 9780072991000
• ISBN10: 0072991003
• Edition: 2nd
• Format: Paperback
• Copyright: 2005-02-15
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

Intermediate Algebra prepares students for further courses in the college math curriculum. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style 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 algebra in the real world.

Table of Contents

1. The Real Numbers

1.1 Numbers and Their Properties

1.2 Operations and Properties of Real Numbers

1.3 Properties of Exponents

1.4 Algebraic Expressions and the Order of Operations

2. Linear Equations and Inequalities

2.1 Linear Equations in One Variable

2.2 Formulas, Geometry, and Problem Solving

2.3 Problem Solving: Integers and Geometry

2.4 Problem Solving: Percent, Investment, Motion, and Mixture Problems

2.5 Linear and Compound Inequalities

2.6 Absolute-Value Equations and Inequalities

3. Graphs and Functions

3.1 Graphs

3.2 Introduction to Functions

3.3 Using Slopes to Graph Lines

3.4 Equations of Lines

3.5 Linear Inequalities in Two Variables

4. Solving Systems of Linear Equations and Inequalities

4.1 Systems with Two Variables

4.2 Systems with Three Variables

4.3 Coin, Distance-Rate-Time, Investment, and Geometry Problems

4.4 Matrices

4.5 Determinants and Cramers Rule

4.6 Systems of Linear Inequalities

5. Polynomials

5.1 Polynomials: Addition and Subtraction

5.2 Multiplication of Polynomials

5.3 The Greatest Common Factor and Factoring by Grouping

5.4 Factoring Trinomials

5.5 Special Factoring

5.6 General Methods of Factoring

5.7 Solving Equations by Factoring: Applications

6. Rational Expressions

6.1 Rational Expressions

6.2 Multiplication and Division of Rational Expressions

6.3 Addition and Subtraction of Rational Expressions

6.4 Complex Fractions

6.5 Division of Polynomials and Synthetic Division

6.6 Equations Involving Rational Expressions

6.7 Applications: Problem Solving

6.8 Variation

7. Rational Exponents and Radicals

7.1 Rational Exponents and Radicals

7.2 Simplifying Radicals

7.3 Operations with Radicals

7.4 Solving Equations Containing Radicals

7.5 Complex Numbers

8. Quadratic Equations and Inequalities

8.1 Solving Quadratics by Completing the Square

8.2 The Quadratic Formula: Applications

8.3 The Discriminant and Its Applications

8.4 Solving Equations in Quadratic Form

8.5 Nonlinear Inequalities

9. Quadratic Functions and the Conic Sections

9.1 Quadratic Functions and their Graphs

9.2 Circles and Ellipses

9.3 Hyperbolas and Identification of Conics

9.4 Nonlinear Systems of Equations

9.5 Nonlinear Systems of Inequalities

10. Functions -- Inverse, Exponential, and Logarithmic

10.1The Algebra of Functions

10.2 Inverse Functions

10.3 Exponential Functions

10.4 Logarithmic Functions and Their Properties

10.5 Common and Natural Logarithms

10.6 Exponential and Logarithmic Equations and Applications

APPENDIX A: Sequences and Series

A.1 Sequences and Series

A.2 Arithmetic Sequences and Series

A.3 Geometric Sequences and Series

A.4 The Binomial Expansion