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Introductory & Intermediate Algebra, 3rd Edition

Introductory & Intermediate Algebra, 3rd Edition

by D. Franklin Wright

Introductory & Intermediate Algebra ensures students build a strong foundation of algebra skills to prepare them for further studies in mathematics through active learning and application-based exploration opportunities. Comprehensive coverage includes a wide range of algebraic topics including real numbers, solving linear equations and inequalities, exponents and polynomials, quadratic equations, complex numbers, conic sections, and sequences and series.

Key Features of the 3rd Edition:

  • Practical Application Projects: Each chapter includes two projects that illuminate real-world uses of mathematics, fostering practical understanding and enhancing reasoning skills.
  • Margin Exercises: Designed to reinforce comprehension, these exercises offer students an immediate opportunity to test their grasp of concepts introduced in the corresponding examples.
  • Concept Checks: Assessing comprehension of essential definitions and concepts, these checks ensure students master fundamental principles.
  • Strategies for Academic Success: A dedicated chapter equips students at the outset of the course with vital study skills, time management techniques, stress management strategies, and tips for excelling in college-level mathematics courses.

Formats: Software, Textbook, eBook

Product ISBN
Software + eBook 978-1-64277-747-5
Software + eBook + Textbook 978-1-64277-748-2
Textbook 978-1-64277-740-6

Table of Contents

  1. Chapter 0: Strategies for Academic Success
    1. 0.1 Understanding and Reducing Stress
    2. 0.2 Staying Organized
    3. 0.3 Managing Your Time Effectively
    4. 0.4 Reading a Textbook and Note-Taking
    5. 0.5 Using Effective Study Strategies
    6. 0.6 Reducing Test Anxiety
  2. Chapter 1: Real Numbers
    1. 1.1 Exponents, Prime Numbers, and LCM
    2. 1.2 Multiplication and Division with Fractions
    3. 1.3 Addition and Subtraction with Fractions
    4. 1.4 The Real Number Line and Absolute Value
    5. 1.5 Addition with Real Numbers
    6. 1.6 Subtraction with Real Numbers
    7. 1.7 Multiplication and Division with Real Numbers
    8. 1.8 Order of Operations with Real Numbers
    9. 1.9 Properties of Real Numbers
    10. Chapter 1 Review
  3. Chapter 2: Solving Linear Equations and Inequalities
    1. 2.1 Simplifying and Evaluating Algebraic Expressions
    2. 2.2 Translating English Phrases and Algebraic Expressions
    3. 2.3 Solving Linear Equations: x + b = c and ax = c
    4. 2.4 Solving Linear Equations: ax + b = c
    5. 2.5 Solving Linear Equations: ax + b = cx + d
    6. 2.6 Applications: Number Problems and Consecutive Integers
    7. 2.7 Applications of Percent
    8. Chapter 2 Review
  4. Chapter 3: Formulas and Linear Inequalities
    1. 3.1 Working with Formulas
    2. 3.2 Perimeter, Area, and Volume
    3. 3.3 Applications: Distance-Rate-Time, Interest, Average, and Cost
    4. 3.4 Solving Linear Inequalities in One Variable
    5. 3.5 Absolute Value Equations
    6. 3.6 Absolute Value Inequalities
    7. Chapter 3 Review
  5. Chapter 4: Linear Equations and Functions
    1. 4.1 The Cartesian Coordinate System
    2. 4.2 Graphing Linear Equations in Two Variables
    3. 4.3 Slope-Intercept Form
    4. 4.4 Point-Slope Form
    5. 4.5 Introduction to Functions and Function Notation
    6. 4.6 Graphing Linear Inequalities in Two Variables
    7. Chapter 4 Review
  6. Chapter 5: Systems of Linear Equations
    1. 5.1 Systems of Linear Equations: Solutions by Graphing
    2. 5.2 Systems of Linear Equations: Solutions by Substitution
    3. 5.3 Systems of Linear Equations: Solutions by Addition
    4. 5.4 Applications: Distance-Rate-Time, Number Problems, Amounts, and Cost
    5. 5.5 Applications: Interest and Mixture
    6. 5.6 Systems of Linear Equations: Three Variables
    7. 5.7 Matrices and Gaussian Elimination
    8. 5.8 Determinants
    9. 5.9 Determinants and Systems of Linear Equations: Cramer's Rule
    10. 5.10 Systems of Linear Inequalities
    11. Chapter 5 Review
  7. Chapter 6: Exponents and Polynomials
    1. 6.1 Rules for Exponents
    2. 6.2 Power Rules for Exponents
    3. 6.3 Applications: Scientific Notation
    4. 6.4 Introduction to Polynomials
    5. 6.5 Addition and Subtraction with Polynomials
    6. 6.6 Multiplication with Polynomials
    7. 6.7 Special Products of Binomials
    8. 6.8 Division with Polynomials
    9. 6.9 Synthetic Division and the Remainder Theorem
    10. Chapter 6 Review
  8. Chapter 7: Factoring Polynomials
    1. 7.1 Greatest Common Factor (GCF) and Factoring by Grouping
    2. 7.2 Factoring Trinomials: x2 + bx + c
    3. 7.3 Factoring Trinomials: ax2 + bx + c
    4. 7.4 Special Factoring Techniques
    5. 7.5 Review of Factoring Techniques
    6. 7.6 Solving Quadratic Equations by Factoring
    7. 7.7 Applications: Quadratic Equations
    8. 7.8 Using a Graphing Calculator to Solve Equations
    9. Chapter 7 Review
  9. Chapter 8: Rational Expressions and Rational Equations
    1. 8.1 Introduction to Rational Expressions
    2. 8.2 Multiplication and Division with Rational Expressions
    3. 8.3 Least Common Multiple of Polynomials
    4. 8.4 Addition and Subtraction with Rational Expressions
    5. 8.5 Simplifying Complex Fractions
    6. 8.6 Solving Rational Equations
    7. 8.7 Applications: Rational Expressions
    8. 8.8 Applications: Variation
    9. Chapter 8 Review
  10. Chapter 9: Roots, Radicals, and Complex Numbers
    1. 9.1 Evaluating Radicals
    2. 9.2 Simplifying Radicals
    3. 9.3 Rational Exponents
    4. 9.4 Addition, Subtraction, and Multiplication with Radicals
    5. 9.5 Rationalizing Denominators
    6. 9.6 Solving Radical Equations
    7. 9.7 Functions with Radicals
    8. 9.8 Complex Numbers
    9. Chapter 9 Review
  11. Chapter 10: Quadratic Equations and Quadratic Functions
    1. 10.1 Quadratic Equations: The Square Root Method and Completing the Square
    2. 10.2 Quadratic Equations: The Quadratic Formula
    3. 10.3 More Applications of Quadratic Equations
    4. 10.4 Equations in Quadratic Form
    5. 10.5 Graphing Quadratic Functions
    6. 10.6 More on Graphing Quadratic Functions and Applications
    7. 10.7 Solving Polynomial and Rational Inequalities
    8. Chapter 10 Review
  12. Chapter 11: Exponential and Logarithmic Functions
    1. 11.1 Algebra of Functions
    2. 11.2 Composition of Functions and Inverse Functions
    3. 11.3 Exponential Functions
    4. 11.4 Logarithmic Functions
    5. 11.5 Properties of Logarithms
    6. 11.6 Common Logarithms and Natural Logarithms
    7. 11.7 Logarithmic and Exponential Equations and Change-of-Base
    8. 11.8 Applications: Exponential and Logarithmic Functions
    9. Chapter 11 Review
  13. Chapter 12: Conic Sections
    1. 12.1 Translations and Reflections
    2. 12.2 Parabolas as Conic Sections
    3. 12.3 Distance Formula, Midpoint Formula, and Circles
    4. 12.4 Ellipses and Hyperbolas
    5. 12.5 Nonlinear Systems of Equations
    6. Chapter 12 Review
  14. Chapter 13: Sequences, Series, and the Binomial Theorem
    1. 13.1 Sequences
    2. 13.2 Sigma Notation
    3. 13.3 Arithmetic Sequences
    4. 13.4 Geometric Sequences and Series
    5. 13.5 The Binomial Theorem
    6. Chapter 13 Review
  15. Appendix
    1. A.1 Decimal Numbers and Percents
    2. A.2 The Fundamental Counting Principle and Permutations
    3. A.3 Combinations
    4. A.4 Review: Solving Systems of Linear Equations in Two Variables
    5. A.5 Introduction to Sets