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Introduction to Algebra: Expressions, Identities, Functions, Formulae

Learn to recognize and use algebraic expressions, identities, functions, and formulae. Understand how letters represent numbers in expressions. Practice forming identities, understanding functions, and creating formulas in algebra.

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Introduction to Algebra: Expressions, Identities, Functions, Formulae

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  1. Introduction to Algebra 3 Objectives: To be able to recognise and use Expressions Identities Functions Formulae And recognise how letters are used to represent numbers

  2. Expressions • In an expression a letter is used to stand for a variable.

  3. Clouding the picture

  4. Clouding the picture: try this one. 2n +8

  5. Identities • An identity shows two equivalent expressions • 3n+6= Use your ‘clouding the picture’ diagrams to write at least three more identities.

  6. Functions • A function shows how one variable depends on another variable. • t=3n+6 n 3n +6 dependent variable (total number of sweets) 1 Variable (number of sweets in each pack) 1 1

  7. Formulae • A formula is a rule written using algebra. The letters stand for variables. • Using words only: • Write a rule for finding the total number of sweets • Ext: can you write this using algebra

  8. Formula for total number of sweets: • Formula: Key:

  9. Formula for total number of sweets: • Formula: Key: Find t if p=2 n=4 x=5 t=

  10. What have you learnt? • In the back of your book write the meanings of: • exp……… • ide…….. • fun…….. • for……..

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