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Introductory and Intermediate Algebra

ISBN: 9780133415049 | 013341504X
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 8/1/1995

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SummaryTable of Contents
This text emphasizes problem-solving, critical thinking and real-world applications.
Review of Real Numbers
Symbols
Sets of Numbers
Fractions
Exponents, Roots, and Order of Operations
Introduction to Variables and Equations
Adding and Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Properties of Real Numbers
Equations and Problem Solving
Simpl... MORE
The Addition and Multiplication Properties of Equality
Solving Linear Equations
Formulas
An Introduction to Problem Solving
Reading Graphs and Ordered Pairs
Inequalities, Absolute Value, and Problem Solving
Ratio and Proportion
Percent and Problem Solving
Further Applications of Linear Equations
Absolute Value Equations
The Addition and Multiplication Properties of Inequality
Compound Inequalities
Absolute Value Inequalities
Graphing
Graphing Equations
Introduction to Functions
Graphing Linear Functions
The Slope of a Line
Equations of Lines
Graphing Linear Inequalities
Exponents and Polynomials
Exponents
Negative Exponents and Scientific Notation
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Division of Polynomials
Synthetic Division and the Remainder Theorem
Algebra of Functions and Composition of Functions
Factoring Polynomials
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x + bx + c
Factoring Trinomials of the Form ax + bx + c
Factoring Binomials
Factoring Polynomials Completely
Solving Equations by Factoring and Problem Solving
An Introduction to Graphing Polynomial Functions
Rational Expressions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Complex Fractions
Solving Equations Containing Rational Expressions
Rational Expressions and Problem Solving
Variation and Problem Solving
Roots and Radicals
Introduction to Radicals
Simplifying Radicals
Adding and Subtracting Radicals
Multiplying and Dividing Radicals
Rational Exponents
Solving Equations Containing Radicals
Quadratic Equations and Inequalities
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Quadratic Formula
Solving Equations in Quadratic Form
Nonlinear Inequalities in One Variable
Quadratic Functions and Their Graphs
Further Graphing of Quadratic Functions
The Parabola and the Circle
The Ellipse and the Hyperbola
Systems of Equations and Inequalities
Solving the Systems of Linear Equations in Two Variables
Solving the Systems of Linear Equations in Three Variables
Applications of Linear Systems of Equations
Solving Systems of Equations by Determinates
Solving Systems of Equations by Matrices
Solving Nonlinear Systems of Equations
Nonlinear Inequalities and Systems of Inequalities
Exponential and Logarithmic Functions
Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Common Logarithms, Natural Logarithms and Change of Base
Exponential and Logarithmic Functions and Problem Solving
Sequences, Series, and the Binomial Theorem
Sequences
Arithmetic and Geometric Sequences
Series
Partial Sums of Arithmetic and Geometric Sequences
The Binomial Theorem
Operations on Decimals
Review of Angles, Lines, and Special Triangles
Review of Geometric Figures
Table of Squares and Square Roots
Answers to Selected Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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