Master Key to the GRE Vol. 2

Number Properties & Algebra

Need help with Integer Properties, Exponents, Roots, Algebra, or Functions? You've come the right place.

Volume 2 of Master Key to the GRE is the only guide to GRE math that will teach you everything you need to know about Integer Properties, Exponents, Roots, Functions, Sequences, and Algebra.

Samples

Chapter 5 Preview

Functions & Sequences

Finding Patterns

Number Properties & Algebra Preview

Video Solutions for Practice Questions

Over 800 of these included with the book

Table of Contents

Chapter 1

Integer Properties

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Positives & Negatives
  3. 3
    Absolute Value
  4. 4
    Number Line Problems
  5. 5
    Evens & Odds
  6. 6
    Factors & Multiples
  7. 7
    Identifying Factors
  8. 8
    Prime Numbers
  9. 9
    Prime Factors
  10. 10
    Remainders

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  1. 11
    Difficult Divisibility
  2. 12
    GCFs and LCMs
  3. 13
    Counting Factors

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 14
    Problem Sets
  2. 15
    Solutions
  3. 16
    Video Solutions

Chapter 2

Exponents

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Bases vs. Coefficients
  3. 3
    Resolving Parentheses
  4. 4
    Raising Powers to a Power
  5. 5
    Multiplication & Division Same Bases
  6. 6
    Negative Exponents Flip the Base
  7. 7
    Powers of Zero & One
  8. 8
    Addition & Subtraction Factor
  9. 9
    Multiplication & Division Same Exponents
  10. 10
    Break Down the Bases!
  11. 11
    Exponent Equations

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  1. 12
    Powers of Ten
  2. 13
    Equivalent Answers

Review, Drills, and Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 14
    Common Mistakes
  2. 15
    Drills
  3. 16
    Cheat Sheet
  4. 17
    Problem Sets
  5. 18
    Solutions
  6. 19
    Video Solutions

Chapter 3

Roots

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Multiplying and Dividing Roots
  3. 3
    Simplifying Roots
  4. 4
    Working With Coefficients
  5. 5
    Adding and Subtracting Roots
  6. 6
    Common Root Mistakes
  7. 7
    Comparing Roots

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  1. 8
    Irrational Fractions and Conjugates
  2. 9
    Factoring “Complex” Roots
  3. 10
    Taking the Root of a Decimal
  4. 11
    Roots as Exponents

Review, Drills, and Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 12
    Drills
  2. 13
    Cheat Sheet
  3. 14
    Problem Sets
  4. 15
    Solutions
  5. 16
    Video Solutions

Chapter 4

Algebra

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Solving for X
  3. 3
    Distribution & Factoring
  4. 4
    Get Rid of Denominators!
  5. 5
    One Variable “In Terms Of” Another
  6. 6
    Inequalities
  7. 7
    Absolute Value
  8. 8
    Combining Equations
  9. 9
    Working With Exponents or Roots
  10. 10
    Quadratic Equations
  11. 11
    “FOIL”
  12. 12
    The “FOIL” Identities
  13. 13
    “Plug-Ins”
  14. 14
    Manipulating “Plug-Ins”

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  1. 15
    Combining Inequalities
  2. 16
    Integer Constraints
  3. 17
    Advanced Shortcuts
  4. 18
    Absolute Value Graphs
  5. 19
    Maximization Problems

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 20
    Drills
  2. 21
    Problem Sets
  3. 22
    Solutions

Chapter 5

Functions & Sequences

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Monster Formulas
  3. 3
    Symbolism
  4. 4
    Functions
  5. 5
    Sequences
  6. 6
    Drills
  7. 7
    Picking Numbers

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  1. 8
    Finding Patterns
  2. 9
    Embedded Functions

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 10
    Problem Sets
  2. 11
    Solutions

What are you waiting for?

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They’re more important than your work experience. They’re more important than your educational background. Isn’t an exam that means so much worth the cost of a college textbook? Of course it is.

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