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ALGEBRAIC EXPRESSION

Did you ever realise that the following expression could be expanded as follows :

MULTIPLICATION & DIVISION

xyz                  =          x.y.z (multiplication concept)

2m²k³/mk         =          2.m.m.k.k.k/m.k (multiplication & division concept)

                       =          2.m.m.k.k.k/m.k

                       =          2mk²

ADDITION & SUBTRACTION

  • Apply the principle of similar objects as basis of addition & subtraction. This principle being taught at the primary school level, where only similar objects could be added or deducted ( the case of 2 cars + 1 car = 3 cars & 1 car + 1 lorry = 1 car + 1 lorry)

     4x²y – x²y                      =          (4 – 1) x²y

                                         =          3x²y

     mk³n/3 + 2mnk³/3           =          (1/3 + 2/3)mnk³

                                         =          (3/3)mnk³

                                         =          mnk³

MIXED OPERATION

     4j²k – 6j³k²m/3jkm        =          4j²k – [6.j.j.j.k.k.m/3.j.k.m]

                                         =          4j²k – [2 6.j.j.j.k.k.m/3.j.k.m]

                                         =          4j²k – 2j²k

                                         =          (4 – 2)j²k

                                         =          2j²k

FINDING THE VALUE OF UNKNOWN

  • This sub-topic could be easily dealt by applying our understanding of addition, subtraction, multiplication & division that we have learnt from Primary School level. For instance; ___ + 3 = 5 is actually the same with ___ = 5 – 3 or 12 ÷ 3 = 4 is actually the same with 12 = 4 x 3 …. movement of numbers from one side to another which results in changes of value ( + to -, x to ÷ , ² to √ and vice versa )

From the given expression of 4m²k/5 = 4; find the value of m?

4m²k/5 – 6       = 4

By retaining m on the left side, we now move the rest of the numbers to the right side ( be sure that the value of m must be + at all time)

4m²k/6             = 4 + 6           = 10

4m²k                = 10.6             = 60

m²                   = 60/4.k          = 15/k

m                     = √(15/k)