Defined Functions, Number Theory and Quantitative Comparisons: GRE Study Guide

Shared by SteadyAtlas9417 October 27, 2026 PDF
General Mathematics 24 pages $24
Page 1 shows a math problem with multiple-choice answers, and a heading 'Defined Functions'.
Page 1 · free preview
Page 2
Page 3
Page 4
Page 5
Page 6

Unlock all 24 pages

Get it free by sharing your own notes, buy just this one, or become a member and unlock documents with your plan.

How to unlock this document

Choose the way that suits you. Each one gives you all 24 pages to read online and the PDF to download.

Free

Share your notes, unlock for free

2 free unlocks for every 5 approved uploads

  • Upload your own lecture notes, assignments, essays or past papers
  • PDF, Word, PowerPoint and Excel files all work, and you can send many at once
  • We check each upload; you get a notification when it is approved
  • Spend a free unlock on this document or any other, and keep it for good
  • Shared under your public username, never your email
Create a free account

Then upload your notes from your profile.

Just this one

Buy this document

$24 one-time payment

  • All 24 pages of this document, yours to keep
  • Download the PDF and read it any time, also offline
  • No subscription and nothing to cancel
  • Find it again any time under My Profile → Library

You log in or create a free account first, then pay securely.

Best value

Become a member

Unlock documents from the whole library, which keeps growing

  • Choose any documents you like, up to your plan’s unlocks
  • Documents you unlock stay yours, even if you cancel later
  • Your unlocks start again with every renewal
  • Secure checkout by Dodo Payments
10 tokens every month
60 tokens every 6 months · Save 17%
130 tokens every year · Best value

You log in or create a free account first, then pay securely.

Compare the plans

About this document

Pages
24 pages
Price
$24 one-time, yours to keep
Membership
Included in every plan
Format
PDF
Subject
General, Mathematics

This document explains defined functions, a common type of problem on the GRE. It provides examples and solutions to help students understand and solve these problems. It also covers number theory and quantitative comparisons.

What's inside

  • Defined functions examples and solutions
  • Number theory basics and examples
  • Quantitative comparisons principles
  • Substitution methods for quantitative comparisons
  • General principles for solving quantitative comparisons

Who it is for: Students preparing for the GRE. (Postgraduate)

#defined functions #gre #gre preparation #math examples #math study guide #maths problems #number theory #quantitative comparisons

Share with classmates: WhatsApp Telegram X LinkedIn Facebook

Summary

This guide covers three types of maths problems that appear in the GRE. It explains how to solve them and gives examples. Students can learn methods to tackle these problems and practice with sample questions.

Defined Functions

Defined functions use a symbol with a specific property. Students learn to solve problems by replacing variables with given values. Examples show how to apply these definitions to find answers.

Number Theory

Number theory involves basic arithmetic properties. Students review key concepts and practice problems. Examples illustrate how to translate word problems into equations and solve them.

Fractions and Proportions

This part explains how to compare and solve fractional equations. It also covers direct and inverse proportions. Examples demonstrate how to set up and solve these types of problems.

Quantitative Comparisons

Quantitative comparisons ask students to compare two quantities. The guide explains methods to solve these problems. Examples show how to avoid common mistakes and find the correct answer.

Key terms

Defined functions
A symbol with a specific property that defines how to solve problems.
Number theory
The study of basic arithmetic properties and their applications.
Quantitative comparisons
Problems that ask students to compare two quantities.
Substitution
A method where specific values replace variables to solve problems.
Midpoint formula
A formula to find the midpoint between two points.
Proportions
A relationship between two quantities that can be direct or inverse.

Questions this document helps with

  • How do you solve problems with defined functions?
  • What are the basic properties of number theory?
  • How do you compare two fractions effectively?

Summary written with AI from the document's text.

Ask the AI Teacher

Ask any question about this document or your course, and get a clear explanation.

Free accounts can ask 5 questions a day.