Thursday, 16 April 2015

Key Learning Points from Solving Linear Equations

In your opinion, write down ALL the key learning points from solving linear equations.

eg. what to look out for? what's the basic understanding?


  1. variables, constants, balancing

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  3. how to solve questions without using models and replacing the models with algebra
    to make both sides equal when solving linear equations
    how to solve linear equations of with an unknown value.

  4. look out for operators and remember to use logic. remember THE ORDER OF OPERATIONS and the laws. eg. THE COMMUTATIVE LAW OF MULTIPLICATION OF EXPENSIVE IMPORTED BONGANANIAN TILES

  5. The key learning things are
    1) we should take note on the terms in the equation
    2) we should find out what is the variable
    3)Expand the terms in the bracket

  6. Balancing,lhs=rhs,constants!!!!!!!!!

  7. 1. Make the two variables compatible
    2. Convert + to -
    3. Organise the equation

  8. All variables should be on the left-hand side and we are to use different operations to keep the equations balanced.

  9. 1: To write the unknown variable on the left
    2: solve all using BODMAS on both sides before transferring
    3: Transfer all the unknown on the left and all the numbers on the right

  10. Key points:
    • Choosing the correct operations suited to keep equations balanced
    • Expanding correctly
    • Writing in equations. E.g. 2x = 2+2
    x = 2

  11. 1. Finding unknown variable through the numbers given
    2.Using distributive law when removing brackets
    3. balancing the equation by adding or subtracting the numbers when required to move the number to other side

  12. Have at least 1 variable in every line.
    Align the equal sign in every line
    Look out for special product rules
    Make sure the equations on both sides of the equal sign are equal at all times.

  13. 1. balancing
    2. taking notes of the terms
    3.expanding everything

  14. - Both sides of the equation must be equal.
    - When one side of the equation is affected, both sides are.

  15. We should balance both terms, and each line should consist of the variable.

  16. 1) no models allowed
    2) expansion
    3) units

  17. Linear equation is like finding an unknown term in an equation
    Using known terms to find the unknown
    Balancing is used

  18. 1. Expand all the terms in the brackets
    2. Make both sides equal
    3. No models

  19. For question c, must put in decimal. But for question b, can put fraction or decimal.
    If shifting, minus need to become plus.

  20. Key Learning Points
    1. Linear Equations is using Algebra to substitute an unknown variable.
    2. The unknown variable can either be a fraction or a whole number.
    3. Linear Equations can be used to solve word problems (An alternative to Models) and real-world problems (An example is finding the cost of a shirt after discount).