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Elementary Algebra



Pub. Date:
McGraw-Hill Science/Engineering/Math
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Elementary Algebra is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems.

Table of Contents

Real Numbers and Their Properties
The Real Numbers
Addition and Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Expressions and the Order of Operations
Algebraic Expressions
Properties of the Real Numbers
Using the Properties to Simplify Expressions
Linear Equations and Inequalities in One Variable
The Addition and Multiplication Properties of Equality
Solving General Linear Equations
More Equations
Translating Verbal Expressions into Algebraic Expressions
Number, Geometric, and Uniform Motion Applications
Discount, Investment, and Mixture Applications
Solving Inequalities and Applications
Linear Equations in Two Variables and Their Graphs
Graphing Lines in the Coordinate Plane
Equations of Lines in Slope-Intercept Form
The Point-Slope Form
Systems of Linear Equations and Inequalities
The Graphing Method
The Substitution Method
The Addition Method
Graphing Linear Inequalities in Two Variables
Graphing Systems of Linear Inequalities
Polynomials and Exponents
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Multiplication of Binomials
Special Products
Division of Polynomials
Nonnegative Integral Exponents
Negative Exponents and Scientific Notation
Factoring Out Common Factors
Factoring the Special Products and Factoring by Grouping
Factoring ax^2 + bx + c with a=1
Factoring ax^2 + bx + c with a not equal to 1
Factoring a Difference or Sum of Two Cubes
Solving Quadratic Equations by Factoring
Rational Expressions
Reducing Rational Expressions
Multiplication and Division
Finding the Least Common Denominator
Addition and Subtraction
Complex Fractions
Solving Equations with Rational Expressions
Applications of Ratios and Proportions
Applications of Rational Expressions
Powers and Roots
Roots, Radicals, and Rules
Simplifying Square Roots
Operations with Radicals
Solving Equations with Radicals and Exponents
Fractional Exponents
Quadratic Equations, Parabolas, and Functions
The Square Root Property and Factoring
Completing the Square
The Quadratic Formula
Applications of Quadratic Equations
Complex Numbers
Graphing Parabolas
Introduction to Functions
Combining Functions
Geometry Review
Table of Squares and Square Roots
Common Logarithms
Answers to Selected Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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