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Intermediate Algebra release 15.63
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FULL VERSION
CONTENTS
- Linear Equations and Inequalities in One Variable
- Solving Linear Equations
- Solving Linear Inequalities
- Solving Equations Involving Absolute Values
- Solving Inequalities Involving Absolute Values
- Functions and Graphs
- Rectangular Coordinates of a Point
- Basic Definitions and Notations
- Graphs of Functions
- Composite Functions
- Inverse Functions
- Equations of Straight Lines
- Slope of a Line
- Slope-Intercept Equation of a Line
- Point-Slope Equation of a Line
- Slopes for Parallel Lines
- Slopes for Perpendicular Lines
- Systems of Linear Equations and Inequalities
- Systems of Two Linear Equations in Two Variables
- Basic Concepts
- Solutions Using Graphing
- Solutions Using Substitution
- Solutions Using Elimination
- Determinants and Cramer's Rule
- Determinants of Order 2
- Determinants of Order 3
- Definition and Properties of Determinants
- Minors and Cofactors
- The Expansion Theorem
- Systems of Two Linear Equations in Two Unknowns. Cramer's Rule
- Systems of Three Linear Equations in Three Unknowns. Cramer's Rule
- Linear Inequalities in Two Variables
- Systems of Linear Inequalities in Two Variables
- Polynomials and Factoring
- Operations with Polynomials
- Addition of Polynomials
- Subtraction of Polynomials
- Multiplication of Polynomials
- Division of Polynomials
- Factoring Polynomials
- Greatest Common Factor
- Difference of Squares
- Sum or Difference of Cubes
- Factoring trinomials with a=1
- Trinomials of the Form ax2 + bx + c
- Square Trinomials
- Solving Equations by Factoring
- Rational Expressions
- Simplifying Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Finding the Least Common Denominator
- Adding and Subtracting Rational Expressions
- Rational Expressions with the Same Denominators
- Rational Expressions with Different Denominators
- Solving Rational Equations
- Exponents and Radicals
- Square Roots
- Basic Definitions
- Approximate Square Roots
- Equations Involving Radicals
- nth Roots
- Fractional Exponents
- Quadratic Functions
- Completing the Square
- Factoring Trinomials by Completing the Square
- Graphs of Quadratic Functions
- Maximum and Minimum Problems
- Solving Quadratic Equations
- Solving Quadratic Equations by Completing the Square
- Solving Quadratic Equations by General Formula
- The Sum and the Product of the Roots
- Graphic Solution of Quadratic Inequalities
- Conic Sections
- The Parabola
- The Ellipse
- The Hyperbola
- Exponential and Logarithmic Functions
- Graphs of Functions
- Exponential Function
- Logarithmic Function
- Exponential and Logarithmic Functions
- Properties of Logarithms
- Solving Exponential and Logarithmic Equations
- Solving Exponential Equations
- Solving Logarithmic Equations
- Applications
- Compound Interest
- Exponential Growth or Decay
- Sequences and Series
- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
- Geometric Series
- Infinite Geometric Series
- Binomial Theorem
- Binomial Expansions
- Factorial Notation
- Pascal's Triangle
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DEMO VERSION
selected lessons from the FULL VERSION
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FULL VERSION
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