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Preparation for College Mathematics, 3rd Edition

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Preparation for College Mathematics, 3rd Edition

by D. Franklin Wright

The 3rd edition of Preparation for College Mathematics emphasizes reasoning and problem solving while helping students make real-world connections to foundational concepts through practical applications. An early introduction of variables, integers, and equation-solving skills allows students to practice algebra skills while reviewing arithmetic. Once a solid understanding of real numbers and problem solving is established, the course transitions into common algebra topics such as solving linear equations and inequalities, factoring equations, and more. The new edition begins with an updated Strategies for Academic Success chapter, focusing on study skills, time and stress management, and tips for success in a college-level math course.

Each chapter is complemented by two projects that highlight the practical aspects of mathematics, helping students establish connections with key concepts through real-world applications.

Additionally, the extensive exercise set selection classifies questions into Practice, Application, and Conceptual categories. A software question bank expansion with this edition provides even more problem-solving opportunities and ensures a comprehensive understanding of course content.

Formats: Software, Textbook, eBook, Guided Notebook

Product ISBN
Software + eBook 978-1-64277-783-3
Software + eBook + Textbook 978-1-64277-637-9
Software + Guided Notebook 978-1-64277-639-3
Textbook 978-1-64277-626-3
Guided Notebook 978-1-64277-628-7

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: Whole Numbers
    1. 1.1 Introduction to Whole Numbers
    2. 1.2 Addition and Subtraction with Whole Numbers
    3. 1.3 Multiplication with Whole Numbers
    4. 1.4 Division with Whole Numbers
    5. 1.5 Rounding and Estimating with Whole Numbers
    6. 1.6 Problem Solving with Whole Numbers
    7. 1.7 Solving Equations with Whole Numbers: x + b = c and ax = c
    8. 1.8 Exponents and Order of Operations
    9. 1.9 Tests for Divisibility
    10. 1.10 Prime Numbers and Prime Factorizations
    11. Chapter 1 Review
  3. Chapter 2: Integers
    1. 2.1 Introduction to Integers
    2. 2.2 Addition with Integers
    3. 2.3 Subtraction with Integers
    4. 2.4 Multiplication, Division, and Order of Operations with Integers
    5. 2.5 Simplifying and Evaluating Expressions
    6. 2.6 Translating English Phrases and Algebraic Expressions
    7. 2.7 Solving Equations with Integers: ax + b = c
    8. Chapter 2 Review
  4. Chapter 3: Fractions, Mixed Numbers, and Proportions
    1. 3.1 Introduction to Fractions and Mixed Numbers
    2. 3.2 Multiplication with Fractions
    3. 3.3 Division with Fractions
    4. 3.4 Multiplication and Division with Mixed Numbers
    5. 3.5 Least Common Multiple (LCM)
    6. 3.6 Addition and Subtraction with Fractions
    7. 3.7 Addition and Subtraction with Mixed Numbers
    8. 3.8 Comparisons and Order of Operations with Fractions
    9. 3.9 Solving Equations with Fractions
    10. 3.10 Ratios and Unit Rates
    11. 3.11 Proportions
    12. 3.12 Probability
    13. Chapter 3 Review
  5. Chapter 4: Decimal Numbers
    1. 4.1 Introduction to Decimal Numbers
    2. 4.2 Addition and Subtraction with Decimal Numbers
    3. 4.3 Multiplication and Division with Decimal Numbers
    4. 4.4 Estimating and Order of Operations with Decimal Numbers
    5. 4.5 Statistics: Mean, Median, Mode, and Range
    6. 4.6 Decimal Numbers and Fractions
    7. 4.7 Solving Equations with Decimal Numbers
    8. Chapter 4 Review
  6. Chapter 5: Percents
    1. 5.1 Basics of Percent
    2. 5.2 Solving Percent Problems Using Proportions
    3. 5.3 Solving Percent Problems Using Equations
    4. 5.4 Applications of Percent
    5. 5.5 Simple and Compound Interest
    6. 5.6 Reading Graphs
    7. Chapter 5 Review
  7. Chapter 6: Measurement and Geometry
    1. 6.1 US Measurements
    2. 6.2 The Metric System: Length and Area
    3. 6.3 The Metric System: Capacity and Weight
    4. 6.4 US and Metric Equivalents
    5. 6.5 Angles and Triangles
    6. 6.6 Perimeter
    7. 6.7 Area
    8. 6.8 Volume and Surface Area
    9. 6.9 Similar and Congruent Triangles
    10. 6.10 Square Roots and the Pythagorean Theorem
    11. Chapter 6 Review
  8. Chapter 7: Solving Linear Equations and Inequalities
    1. 7.1 Properties of Real Numbers
    2. 7.2 Solving Linear Equations: x + b = c and ax = c
    3. 7.3 Solving Linear Equations: ax + b = c
    4. 7.4 Solving Linear Equations: ax + b = cx + d
    5. 7.5 Working with Formulas
    6. 7.6 Applications: Number Problems and Consecutive Integers
    7. 7.7 Applications: Distance-Rate-Time, Interest, Average, and Cost
    8. 7.8 Solving Linear Inequalities in One Variable
    9. 7.9 Compound Inequalities
    10. 7.10 Absolute Value Equations
    11. 7.11 Absolute Value Inequalities
    12. Chapter 7 Review
  9. Chapter 8: Graphing Linear Equations and Inequalities
    1. 8.1 The Cartesian Coordinate System
    2. 8.2 Graphing Linear Equations in Two Variables
    3. 8.3 Slope-Intercept Form
    4. 8.4 Point-Slope Form
    5. 8.5 Introduction to Functions and Function Notation
    6. 8.6 Graphing Linear Inequalities in Two Variables
    7. Chapter 8 Review
  10. Chapter 9: Systems of Linear Equations
    1. 9.1 Systems of Linear Equations: Solutions by Graphing
    2. 9.2 Systems of Linear Equations: Solutions by Substitution
    3. 9.3 Systems of Linear Equations: Solutions by Addition
    4. 9.4 Applications: Distance-Rate-Time, Number Problems, Amounts, and Cost
    5. 9.5 Applications: Interest and Mixture
    6. 9.6 Systems of Linear Equations: Three Variables
    7. 9.7 Matrices and Gaussian Elimination
    8. 9.8 Systems of Linear Inequalities
    9. Chapter 9 Review
  11. Chapter 10: Exponents and Polynomials
    1. 10.1 Rules for Exponents
    2. 10.2 Power Rules for Exponents
    3. 10.3 Applications: Scientific Notation
    4. 10.4 Introduction to Polynomials
    5. 10.5 Addition and Subtraction with Polynomials
    6. 10.6 Multiplication with Polynomials
    7. 10.7 Special Products of Binomials
    8. 10.8 Division with Polynomials
    9. 10.9 Synthetic Division and the Remainder Theorem
    10. Chapter 10 Review
  12. Chapter 11: Factoring Polynomials
    1. 11.1 Greatest Common Factor (GCF) and Factoring by Grouping
    2. 11.2 Factoring Trinomials: x2 + bx + c
    3. 11.3 Factoring Trinomials: ax2 + bx + c
    4. 11.4 Special Factoring Techniques
    5. 11.5 Review of Factoring Techniques
    6. 11.6 Solving Quadratic Equations by Factoring
    7. 11.7 Applications: Quadratic Equations
    8. Chapter 11 Review
  13. Chapter 12: Rational Expressions
    1. 12.1 Introduction to Rational Expressions
    2. 12.2 Multiplication and Division with Rational Expressions
    3. 12.3 Least Common Multiple of Polynomials
    4. 12.4 Addition and Subtraction with Rational Expressions
    5. 12.5 Simplifying Complex Fractions
    6. 12.6 Solving Rational Equations
    7. 12.7 Applications: Rational Expressions
    8. 12.8 Applications: Variation
    9. Chapter 12 Review
  14. Chapter 13: Roots, Radicals, and Complex Numbers
    1. 13.1 Evaluating Radicals
    2. 13.2 Simplifying Radicals
    3. 13.3 Rational Exponents
    4. 13.4 Addition, Subtraction, and Multiplication with Radicals
    5. 13.5 Rationalizing Denominators
    6. 13.6 Solving Radical Equations
    7. 13.7 Functions with Radicals
    8. 13.8 Introduction to Complex Numbers
    9. 13.9 Multiplication and Division with Complex Numbers
    10. Chapter 13 Review
  15. Chapter 14: Quadratic Equations
    1. 14.1 Quadratic Equations: The Square Root Method
    2. 14.2 Quadratic Equations: Completing the Square
    3. 14.3 Quadratic Equations: The Quadratic Formula
    4. 14.4 More Applications of Quadratic Equations
    5. 14.5 Equations in Quadratic Form
    6. 14.6 Graphing Quadratic Functions
    7. 14.7 More on Graphing Quadratic Functions and Applications
    8. 14.8 Solving Polynomial and Rational Inequalities
    9. Chapter 14 Review
  16. Chapter 15: Exponential and Logarithmic Functions
    1. 15.1 Algebra of Functions
    2. 15.2 Composition of Functions and Inverse Functions
    3. 15.3 Exponential Functions
    4. 15.4 Logarithmic Functions
    5. 15.5 Properties of Logarithms
    6. 15.6 Common Logarithms and Natural Logarithms
    7. 15.7 Logarithmic and Exponential Equations and Change-of-Base
    8. 15.8 Applications: Exponential and Logarithmic Functions
    9. Chapter 15 Review
  17. Chapter 16: Conic Sections
    1. 16.1 Translations and Reflections
    2. 16.2 Parabolas as Conic Sections
    3. 16.3 Distance Formula, Midpoint Formula, and Circles
    4. 16.4 Ellipses and Hyperbolas
    5. 16.5 Nonlinear Systems of Equations
    6. Chapter 16 Review