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Summary
With a strong emphasis on mathematics of the real world, this text unites the concepts of elementary algebra and intermediate algebra in one volume.The content, pedagogy, and design of ELEMENTARY AND INTERMEDIATE ALGEBRA are based on those of the successful copyright 2000 Dugopolski algebra series.A midtext diagnostic review contains exercises based on the material contained in the first half of the text. The exercises are organized by chapter and section so that students can identify any chapters and sections that need further review.
Table of Contents
1 Real Numbers and Their Properties
1.1 The Real Numbers
1.2 Fractions
1.3 Addition and Subtraction of Real Numbers
1.4 Multiplication and Division of Real Numbers
1.5 Exponential Expressions and the Order of Operations
1.6 Algebraic Expressions
1.7 Properties of the Real Numbers
1.8 Using the Properties to Simplify Expressions
2 Linear Equations in One Variable
2.1 The Addition and Multiplication Properties of Equality
2.2 Solving General Linear Equations
2.3 Identities, Conditional Equations, and Inconsistent Equations
2.4 Formulas
2.5 Translating Verbal Expressions into Algebraic Expressions
2.6 Number, Geometric, and Uniform Motion Applications
2.7 Discount, Investment, and Mixture Applications
3 Inequalities in One Variable
3.1 Inequalities
3.2 Compound Inequalities
3.3 Absolute Value Equations and Inequalities
4 Linear Equations in Two Variables and Their Graphs
4.1 Graphing Lines in the Coordinate Plane
4.2 Slope
4.3 Equations of Lines in Slope-Intercept and Standard Form
4.4 The Point-Slope Form
4.5 Applications of Linear Equations
4.6 Introduction to Functions
5 Polynomials and Exponents
5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials
5.3 Multiplication of Binomials
5.4 Special Products
5.5 Division of Polynomials
5.6 Positive Integral Exponents
5.7 Negative Exponents and Scientific Notation
6 Factoring
6.1 Factoring Out Common Factors
6.2 Factoring the Special Products and Factoring by Grouping
6.3 Factoring ax2+bx+c with a=1
6.4 Factoring ax2+bx+c with a not=1
6.5 The Factoring Strategy
6.6 Solving Quadratic Equations by Factoring
7 Rational Expressions
7.1 Reducing Rational Expressions
7.2 Multiplication and Division
7.3 Finding the Least Common Denominator
7.4 Addition and Subtraction
7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions
7.7 Applications of Ratios and Proportions
7.8 Applications of Rational Expressions
Midtext Diagnostic Review
8 Systems of Linear Equations
8.1 Solving Systems by Graphing and Substitution
8.2 The Addition Method
8.3 Systems of Linear Equations in Three Variables
8.4 Solving Linear Systems Using Matrices
8.5 Determinants and Cramer's Rule
8.6 Graphing Linear Inequalities in Two Variables
8.7 Graphing Systems of Linear Inequalities
8.8 Linear Programming
9 Radicals and Rational Exponents
9.1 Radicals
9.2 Rational Exponents
9.3 Operations with Radicals
9.4 More Operations with Radicals
9.5 Solving Equations with Radicals and Exponents
9.6 Complex Numbers
10 Quadratic Equations, Functions, and Inequalities