Intermediate Algebra

by Martin-Gay, Elayn

• ISBN13: 9780131444416
• ISBN10: 0131444417
• Edition: 4th
• Format: Hardcover w/CD
• Copyright: 2009-01-01
• Publisher: Prentice Hall

Summary

Intermediate Algebra is 1-semester gateway course to other college-level mathematics courses. The goal of the Intermediate Algebra course is to provide students with the mathematical skills that are prerequisites for courses such as College Algebra, Elementary Statistics, Liberal-Arts Math and Mathematics for Teachers.

Table of Contents

Real Numbers And Algebraic Expressions

Tips for Success in Mathematics

Algebraic Expressions and Sets of Numbers

Operations on Real Numbers

Properties of Real Numbers

Equations, Inequalities, And Problem Solving

Linear Equations in One Variable

An Introduction to Problem Solving

Formulas and Problem Solving

Linear Inequalities and Problem Solving

Compound Inequalities

Absolute Value Equations

Absolute Value

Inequalities

Graphs and Functions

Graphing Equations

Introduction to Functions

Graphing Linear Functions

The Slope of a Line

Equations of Lines

Graphing Linear

Inequalities

Systems of Equations

Solving Systems of Linear Equations in Two Variables

Solving Systems of Linear Equations in Three Variables

Systems of Linear Equations and Problem Solving

Solving Systems of Equations by Matrices

Solving Systems of Equations by Determinants

Exponents, Polynomials, and Polynomial Functions

Exponents and Scientific Notation

More Work with Exponents and Scientific Notation

Polynomials and Polynomial Functions

Multiplying Polynomials

The Greatest Common Factor and Factoring by Grouping

Factoring Trinomials

Factoring by Special Products

Solving Equations by Factoring and Problem Solving

Rational Expressions

Rational Functions and Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Simplifying Complex Fractions

Dividing Polynomials

Synthetic Division and the Remainder Theorem

Solving Equations Containing Rational Expressions

Rational Equations and Problem Solving

Variation and Problem Solving

Rational Exponents, Radicals, and Complex Numbers

Radicals and Radical Functions

Rational Exponents

Simplifying Radical Expressions

Adding, Subtracting, and Multiplying Radical Expressions

Rationalizing Denominators and Numerators of Radical Expressions

Radical equations and Problem Solving

Complex Numbers

Quadratic Equations and Functions

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by the Quadratic Formula

Solving equations by Using Quadratic Methods

Nonlinear Inequalities in One Variable

Quadratic Functions and Their Graphs

Further Graphing of Quadratic Functions

Exponential and Logarithmic Functions

The Algebra of Functions

Composite Functions

Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Common Logarithms, Natural Logarithms, and Change of Base

Exponential and Logarithmic Equations and Applications

Conic Sections

The Parabola and the Circle

The Ellipse and the Hyperbola

Solving Nonlinear Systems of Equations

Nonlinear Inequalities and Systems of Inequalities

Sequences, Series, and the Binomial Theorem

Sequences. Arithmetic and Geometric Sequences

Series. Partial Sums of Arithmetic and Geometric Sequences

The Binomial Theorem

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