algebra manipulation

• Algebraic manipulation

  Involves several algebraic topics including collecting like terms, expanding brackets, factorizing, and simplifying expressions
• Rules for multiplying in algebra

  • Can only multiply numbers with numbers, and letters with letters
  • When multiplying numbers and letters, the numbers go in front
  • When multiplying letters, write them in alphabetical order
• Simplifying expressions by multiplying

  1. Multiply numbers

  2. Multiply letters, writing them in alphabetical order

  3. If multiplying same letters, add the powers
• Simplifying expressions by multiplying

  • 3 x 4 = 12
  • a x a = a^2
  • a x b = ab
  • a^5 x a^2 = a^7
  • x^2 x t^3 = x^2t^3
  • 3a
  • 5t^2
• Do not use the multiplication symbol (x) in algebra, instead just write the terms together
• When multiplying, the numbers always come before the letters
• When multiplying same letters, the powers are added together
• When multiplying different letters, write them in alphabetical order
• Multiplying expressions

  • ab x c = abc
  • 2a x b = 2ab
  • d x c x 5 = 5dc
  • 8f^2
  • n^3
  • ab x a x b = a^2b^2
• Multiplying expressions with numbers and letters

  • 3 x 4 = 12, w^2
  • 2f, 14fw
  • 25, u^2, v
  • 4r^3
• Filling in missing values in a multiplication table

  1. Identify the row and column headings to determine what is being multiplied

  2. Fill in the missing values by multiplying the corresponding row and column headings