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Intermediate Algebra, 5th Edition
ISBN10: 1259610233 | ISBN13: 9781259610233
© 2018
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Intermediate Algebra 5e
Reference: Review of Basic Algebraic Concepts
R.1 Study Skills
R.2 Sets of Numbers and Interval Notation
R.3 Operations of Real Numbers
R.4 Simplifying Algebraic Expressions
Chapter 1: Linear Equations and Inequalities in One Variable
1.1 Linear Equations in One Variable
Problem Recognition Exercises-Equations versus Expressions
1.2 Applications of Linear Equations in One Variable
1.3 Applications of Geometry and Literal Equations
1.4 Linear Inequalities in One Variable
1.5 Compound Inequalities
1.6 Absolute Value Equations
1.7 Absolute Value Inequalities
Problem Recognition Exercises-Identifying Equations and Inequalities
Chapter 2: Linear Equations in Two Variables and Functions
2.1 Linear Equations in Two Variables
2.2 Slope of a Line and Rate of Change
2.3 Equations of a Line
Problem Recognition Exercises-Characteristics of Linear Equations
2.4 Applications of Linear Equations and Modeling
2.5 Introduction to Relations
2.6 Introduction to Functions
2.7 Graphs of Functions
Problem Recognition Exercises-Characteristics of Relations
Chapter 3: Systems of Linear Equations and Inequalities
3.1 Solving Systems of Linear Equations by the Graphing Method
3.2 Solving Systems of Linear Equations by the Substitution Method
3.3 Solving Systems of Linear Equations by the Addition Method
Problem Recognition Exercises-Solving Systems of Linear Equations
3.4 Applications of Systems of Linear Equations in Two Variables
3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables
3.6 Systems of Linear Equations in Three Variables and Applications
3.7 Solving Systems of Linear Equations by Using Matrices
Chapter 4: Polynomials
4.1 Properties of Integer Exponents and Scientific Notation
4.2 Addition and Subtraction of Polynomials and Polynomials Functions
4.3 Multiplication of Polynomials
4.4 Division of Polynomials
Problem Recognition Exercises-Operations on Polynomials
4.5 Greatest Common Factor and Factoring by Grouping
4.6 Factoring Trinomials
4.7 Factoring Binomials
Problem Recognition Exercises-Factoring Summary
4.8 Solving Equations by Using the Zero Product Rule
Chapter 5: Rational Expressions and Rational Equations
5.1 Rational Expressions and Rational Functions
5.2 Multiplication and Division of Rational Expressions
5.3 Addition and Subtraction of Rational Expressions
5.4 Complex Fractions
Problem Recognition Exercises-Operations on Rational Expressions
5.5 Solving Rational Equations
Problem Recognition Exercises-Rational Equations versus Expressions
5.6 Applications of Rational Equations and Proportions
Variation
Chapter 6: Radicals and Complex Numbers
6.1 Definition of an nth Root
6.2 Rational Exponents
6.3 Simplifying Radical Expressions
6.4 Addition and Subtraction of Radicals
6.5 Multiplication of Radicals
Problem Recognition Exercises-Simplifying Radical Expressions
6.6 Division of Radicals and Rationalization
6.7 Solving Radical Equations
6.8 Complex Numbers
Chapter 7: Quadratic Equations, Functions and Inequalities
7.1 Square Root Property and Completing the Square
7.2 Quadratic Formula
7.3 Equations in Quadratic Form
Problem Recognition Exercises-Quadratic and Quadratic Type Equations
7.4 Graphs of Quadratic Functions
7.5 Vertex of a Parabola: Applications and Modeling
7.6 Polynomial and Rational Inequalities
Problem Recognition Exercises-Recognizing Equations and Inequalities
Chapter 8: Exponential and Logarithmic Functions and Applications
8.1 Algebra of Functions and Composition
8.2 Inverse Functions
8.3 Exponential Functions
8.4 Logarithmic Functions
Problem Recognition Exercises-Identifying Graphs of Functions
8.5 Properties of Logarithms
8.6 The Irrational Number e and Change of Base
Problem Recognition Exercises-Logarithmic and Exponential Forms
8.7 Logarithmic and Exponential Equations and Applications
Chapter 9: Conic Sections
9.1 Distance Formula, Midpoint Formula, and Circles
9.2 More on the Parabola
9.3 The Ellipse and Hyperbola
Problem Recognition Exercises-Formulas and Conic Sections
9.4 Nonlinear systems of Equations in Two Variables
9.5 Nonlinear Inequalities and Systems of Inequalities
Chapter 10: Binomial Expansions, Sequences, and Series
10.1 Binomial Expansions
10.2 Sequences and Series
10.3 Arithmetic Sequences and Series
10.4 Geometric Sequences and Series
Problem Recognition Exercises-Identifying Arithmetic and Geometric Series
Chapter 11 (Online): Transformations, Piecewise-Defined Functions, and Probability
11.1 Transformations of Graphs and Piecewise-Defined Functions
11.2 Fundamentals of Counting
11.3 Introduction to Probability
Additional Topics Appendix
A.1 Determinants and Cramer’s Rule
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