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Preparation for College Mathematics

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Preparation for College Mathematics

by D. Franklin Wright

The second edition of Preparation for College Mathematics includes new features, such as Strategies for Academic Success, which help students with soft skills like note taking, time management, and the ability to overcome test anxiety; Concept Checks, which test students' understanding of important definitions and concepts in each section; and additional real-world application problems.

Bundle the textbook and software with Guided Notebook, a binder-ready supplement that provides further direction and student engagement.

Formats: Software, Textbook, Guided Notebook, eBook

Product ISBN
Software + eBook 978-1-64277-004-9
software + eBook + Guided Notebook 978-1-64277-032-2
Software + eBook + Textbook 978-1-64277-005-6

Table of Contents

  1. Chapter 0: Strategies for Academic Success
    1. 0.1 How to Read a Math Textbook
    2. 0.2 Tips for Success in a Math Course
    3. 0.3 Tips for Improving Math Test Scores
    4. 0.4 Practice, Patience, and Persistence!
    5. 0.5 Note Taking
    6. 0.6 Do I Need a Math Tutor?
    7. 0.7 Tips for Improving Your Memory
    8. 0.8 Overcoming Anxiety
    9. 0.9 Online Resources
    10. 0.10 Preparing for a Final Math Exam
    11. 0.11 Managing Your Time Effectively
  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
  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)
  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
  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
  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 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
  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
    9. 7.9 Compound Inequalities
    10. 7.10 Absolute Value Equations
    11. 7.11 Absolute Value Inequalities
  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
  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 Costs
    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
  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
  12. Chapter 11: Factoring Polynomials
    1. 1.1 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
  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
  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
  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
  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
  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