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• Algebra Basics: What are variables, rules of fractions, perfect squares, cubes, roots
• Addition, subtraction, multiplication & division of fractions with variables
• DitchYour Calculator! Speed up your own ability to calculate squares, cubes & roots
• How roots work and occur in other parts of algebra
• Variables Can Have A "Definite Answer", More Than One Solution Or Infinite Answers
• Learn how to understand and use "x" plus how it is just a "placeholder" for variables
• Learn how to understand and use other variable placeholders like p, q, r, s and t (commonly time)
• Apply different operations with fractions; multiplication, division, addition and subtraction
• Operations using division; how to handle negative and positive numbers (with examples)
• Operations using multiplication; how to handle negative and positive numbers (with examples)
• Distributive Law; how to handle operations across brackets at different levels with examples
• The application of BODMAS in distributive laws of solving algebra with and without variables
• Learn the distributive law as applied to variables and fractions; follow step by step
• Addition and subtraction with variables
• Multiplication and division with variables
• In algebra terms are separated by a plus (+) and minus (-) only
• Like terms refer to terms that have the same variables (or none) and the variables all have the same degree (power) when compared between the terms
• Grouping is the process of organising and then adding/subtracting like terms
• Like Terms can be added together or subtracted from each other, but we cannot perform these operations with unlike terms
• Grouping like terms is the process of ordering them together and then adding/subtracting them
• Circular brackets means value are excluded from a range
• Square brackets means values are included in a range
• Curly brackets can be used in set notation to represent a range of values
• In expressions and equations the three brackets are used to separate terms or ‘parts’ with all given the same level of priority
• Use different brackets to make the expression or equation look neater and easier to read. The type of bracket does not indicate the order in which we solve
• The Distributive Law (and possibly Exponential Laws) are used to ‘remove’ the innermost brackets
• A polynomial is created through the addition and subtraction of terms
• The degree of a polynomial is equal to the highest value of the sum of the exponents of the variables in any induvial term of the polynomial
• A polynomial can be characterised by the number of terms it contains:
• An expression has to follow a set of strict rules in order for it to be called a polynomial