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Algebra

Algebra. Next Steps. Multiples of a Single Variable Example 1 : Twice Something plus eight equals fourteen. We need to get the by itself on one side of the equation. What is stopping the being by itself at the moment?.

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Algebra

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  1. Algebra Next Steps

  2. Multiples of a Single VariableExample 1 : Twice Something plus eight equals fourteen We need to get the by itself on one side of the equation What is stopping the being by itself at the moment?

  3. The is stopping the being by itself on the left hand side of the equation. So how can we get rid of the 8 ? Take it away ! What we do to one side of the equation, we must do to the other side to keep the equation balanced.

  4. = - 8 Take eight away from the 2x

  5. = 2x 14 Not Balanced ! - 8 Subtract eight from the 14

  6. = Balanced ! 2x 6 So x = 3

  7. Example 2 : Twice something minus eight equals fourteen We need to get the by itself on one side of the equation What is stopping the being by itself at the moment?

  8. The is stopping the being by itself on the left hand side of the equation. So how can we get rid of the -8 ? Add eight !! -8 + 8 = 0

  9. = + 8 Add eight to the 2x

  10. = Not Balanced ! Add eight to the 14 + 8 14 2x

  11. = Balanced ! But two lots of x ! 2x 22 So x = 11

  12. Recap 1.Get rid of hangers on ! This is an add, so subtract the number ! 2.Now split the letter from the group This is times by a number, so divide by that number !

  13. Recap 1.Get rid of hangers on ! This is an add, so subtract the number ! 2.Now split the letter from the group This is divided by a number, so multiply by that number !

  14. Recap 1.Get rid of hangers on ! Do the opposite to what you see If the number is positive, subtract it! If the number is negative, add it! 2.Now split the letter from the group If the letter is is divided by a number, multiply by that number ! If the letter is is multiplied by a number, divide by that number !

  15. Firstly, we must collect the like terms Example 3 : This means that we need to gather all the letters to one side of the equation. So we must subtract 2x from both sides of the equation.

  16. We need to get the x by itself on one side of the equation The 8 is stopping the 3x being by itself on the left hand side of the equation.

  17. Do you understand ? • Push the red button for no • Push the amber button for maybe. • Push the green button for yes

  18. Quick TestFor each of the following questions, do the working on a piece of paper and then click on the button nearest to your answer

  19. Bad Luck

  20. Well Done !!!!

  21. Quick Test- Question 2Do the working on a piece of paper and then click on the button nearest to your answer

  22. Bad Luck

  23. Well Done !!!!

  24. Quick Test- Question 3Do the working on a piece of paper and then click on the button nearest to your answer

  25. Bad Luck

  26. Well Done !!!!

  27. Quick Test- Question 4Do the working on a piece of paper and then click on the button nearest to your answer

  28. Bad Luck

  29. Well Done !!!!

  30. Congratulations • You are now ready to try the next stage Algebra Intermediate Please exit and download new file

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