Introductory & Intermediate Algebra


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INTRODUCTORY & INTERMEDIATE ALGEBRA,
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ISBN

  10 Digit ISBN 13 Digit ISBN
Software Only 0-918091-97-7 978-0-918091-97-0
2nd Edition Textbook with Software Bundle 1-932628-78-9 978-1-932628-78-4
2nd Edition Textbook Only 1-932628-77-0 978-1-932628-77-7
Student Solutions Manual 1-932628-03-7 978-1-932628-03-6


Software Table of Contents


Chapter 1: Real Numbers
1.1aThe Real Number Line and Inequalities
1.1bIntroduction to Absolute Values
1.2Addition with Real Numbers
1.3Subtraction with Real Numbers
1.4Multiplication and Division with Real Numbers
1.5Exponents, Prime Numbers, and LCM
1.6aReducing Fractions
1.6bMultiplication and Division with Fractions
1.7Addition and Subtraction with Fractions
1.8Order of Operations
1.9Properties of Real Numbers
Chapter 2: Algebraic Expressions, Linear Equations, and Applications
2.1aVariables and Algebraic Expressions
2.1bSimplifying Expressions
2.1cEvaluating Algebraic Expressions
2.2Translating Phrases into Algebraic Expressions
2.3aSolving Linear Equations Using Addition and Subtraction
2.3bSolving Linear Equations Using Multiplication and Division
2.3dApplications of Linear Equations: Multiplication and Division
2.4Solving Linear Equations
2.5More Linear Equations: ax + b = cx + d
2.6aApplications: Number Problems and Consecutive Integers
2.6bApplications of Linear Equations: Addition and Subtraction
2.6cApplications of Linear Equations: Multiplication and Division
2.7Applications with Percent
Chapter 3: Formulas and Linear Inequalities
3.1Working with Formulas
3.2Formulas in Geometry
3.3Applications
3.4Solving Linear Inequalities
3.5aSolving Absolute Value Equations
3.5bSolving Absolute Value Inequalities
Chapter 4: Linear Equations and Functions
4.1Introduction to the Cartesian Coordinate System
4.2Graphing Linear Equations by Plotting Points
4.3Graphing Linear Equations in Slope-Intercept Form
4.4aFinding the Equation of a Line
4.4bGraphing Linear Equations in Point-Slope Form
4.5Introduction to Functions and Function Notation
4.6Graphing Linear Inequalities
Chapter 5: Exponents and Polynomials
5.1Simplifying Integer Exponents I
5.2aSimplifying Integer Exponents II
5.2bScientific Notation
5.3Identifying and Evaluating Polynomials
5.4Adding and Subtracting Polynomials
5.5Multiplying Polynomials
5.6aThe FOIL Method
5.6bSpecial Products
5.7aDivision by a Monomial
5.7bThe Division Algorithm
Chapter 6: Factoring Polynomials and Solving Quadratic Equations
6.1aGreatest Common Factor of Two or More Terms
6.1bGreatest Common Factor of a Polynomial
6.1cFactoring Expressions by Grouping
6.2Factoring Trinomials: Leading Coefficient 1
6.3aFactoring Trinomials by Trial and Error
6.3bFactoring Trinomials by Grouping
6.4aSpecial Factorizations - Squares
6.4bSpecial Factorizations - Cubes
6.5Additional Factoring Practice
6.6Solving Quadratic Equations by Factoring
6.7Applications of Quadratic Equations
Chapter 7: Rational Expressions
7.1aDefining Rational Expressions
7.1bMultiplication and Division with Rational Expressions
7.2Addition and Subtraction of Rational Expressions
7.3Complex Fractions
7.4aSolving Equations: Ratios and Proportions
7.4bSolving Equations with Rational Expressions
7.5Applications Involving Rational Expressions
7.6Applications: Variation
Chapter 8: Systems of Linear Equations
8.1Solving Systems of Linear Equations by Graphing
8.2Solving Systems of Linear Equations by Substitution
8.3Solving Systems of Linear Equations by Addition
8.4Applications: Distance - Rate - Time, Number Problems, Amounts and Costs
8.5Applications: Interest and Mixture
8.6Solving Systems of Linear Equations with Three Variables
8.7Matricies and Gaussian Elimination
8.8Systems of Linear Inequalities
Chapter 9: Roots, Radicals, and Complex Numbers
9.1Evaluating Radicals
9.2Simplifying Radicals
9.3Radional Exponents
9.4aAddition and Subtraction with Radicals
9.4bMultiplication with Radicals
9.4cRationalizing Denominators
9.5Equations with Radicals
9.6Functions with Radicals
9.7Complex Numbers
9.8Multiplication and Division with Complex Numbers
Chapter 10: Quadratic Equations
10.1aQuadratic Equations: The Square Root Method
10.1bQuadratic Equations: Completing the Square
10.2Quadratic Equations: The Quadratic Formula
10.3Applications: Quadratic Equations
10.4Equations in Quadratic Form
10.5Graphing Parabolas
10.6aSolving Quadratic Inequalities
10.6bSolving Inequalities with Rational Expressions
Chapter 11: Exponential and Logarithmic Functions
11.1Algebra of Functions
11.2Composition of Functions and Inverse Functions
11.3Exponential Functions
11.4Logarithmic Functions
11.5Properties of Logarithms
11.6Common Logarithms and Natural Logarithms
11.7Exponential and Logarithmic Equations
11.8Applications: Exponential and Logarithmic Functions
Chapter 12: Conic Sections
12.1Translations and Reflections
12.2Parabolas as Conic Sections
12.3The Distance Formula and Circles
12.4Ellipses and Hyperbolas
12.5Nonlinear Systems of Equations
Chapter 13: Sequences, Series and the Binomial Theorem
13.1Sequences
13.2Sigma Notation
13.3Arithmetic Sequences
13.4Geometric Sequences and Series
13.5The Binomial Theorem
Appendix:
A.1aDecimals and Percents
A.1bMore with Decimals
A.2Synthetic Division
A.3Using a Graphing Calculator to Solve Equations
A.4Determinants
A.5Determinants and Systems of Linear Equations: Cramer's Rule
A.6Permutations
A.7Combinations
A.8Review: Solving Systems of Linear Equations - Two Variables