Math Tutorial 9.3 - Identities

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There are 6 lessons in this math tutorial covering Identities. The tutorial starts with an introduction to Identities and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Identities. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What is an identity in math?
  • Where does a conditional identity differ from an identity?
  • What is another name used for conditional identities?
  • What are inconsistent equations?
  • How to make the distinction between identities, conditional identities and inconsistent equations?
  • How to solve a question in math by proof?
  • How to disprove a claim in by counter - example in math?


In tutorial 6.3 we discussed the eight special algebraic identities. Are they true for any number you choose to insert to replace variables or are they true only for some numbers?

How many values can you insert in the place of x in the equations 0x = 0 and 1x = x? What about the equation 0x = 6? How many possible roots do they have?

All these questions (and many others) are explained in this tutorial, which focuses on identities, as special equations.

Please select a specific "Identities" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Equations Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Lesson IDMath Lesson TitleLessonVideo
9.3.2Identities, Conditional Identities (Equations) and Inconsistent Equations
9.3.3Identify Conditional Identities and Inconsistent Equations
9.3.4Eight Algebraic Identities
9.3.5Solving by Proof
9.3.6Rejecting a Supposition by Counter Example

Whats next?

Enjoy the "Identities" math tutorial? People who liked the "Identities" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Equations Video tutorial: Identities. Watch or listen to the Identities video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Equations Revision Notes: Identities. Print the notes so you can revise the key points covered in the math tutorial for Identities
  4. Equations Practice Questions: Identities. Test and improve your knowledge of Identities with example questins and answers
  5. Check your calculations for Equations questions with our excellent Equations calculators which contain full equations and calculations clearly displayed line by line. See the Equations Calculators by iCalculator™ below.
  6. Continuing learning equations - read our next math tutorial: Iterative Methods for Solving Equations

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