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algebraic equation



Definition: Algebraic Equation is a condition where two expressions have equal values.

Examples:
4x + 2 = 8
15 = 5x
x/2 = 8
3x - 2 = 4

Points to note:

  • 1. Out of two expressions, one expression must contain a variable.
  • 2. Even if we interchange the expression, the value remains unchanged.

    Write the following statements in the form of equation:

    Question 1 - Five times of "x" is 15
    Solution - This proceeds as :
    Five times of "x" = 5x
    The resultant equation we get;
    5x = 15


    Question 2 - Sum of 4 times "x" and 2 is 10
    Solution - This proceeds as :
    Four times of "x" = 4x.
    Sum of 4x and 2 = 4x + 2
    The resultant equation we get;
    4x + 2 = 10


    Question 3 - Subtract 2 from 4 times of "x" and we get 10
    Solution - This proceeds as :
    Four times of "x" = 4x.
    Subtract 2 from 4x = 4x - 2
    The resultant equation we get;
    4x - 2 = 10


    Question 4 - One third of "x" is 15
    Solution - This proceeds as :
    One third of "x" = 1/3x
    The resultant equation we get;
    1/3x = 15



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