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Tuesday, 12 April 2016

ALGEBRA-3

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If  x+5y = 1             find  x /y                  x-3y     4 solution x+5y = 1              x-3y    4 1(x-3y) = 4(x+5...

LOGARITHMS-3

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Find x if Log x 0.00001 = -5 solution Log x 0.00001 = -5 0.00001  = x -5 .  [0.000001  = 10 -5   ] 10 -5 = x -5 . 1...

FUNCTIONS-1

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If f(x) = |x - 24| evaluate f(-27) solution f(x) = |x - 24| f(-27) = |-27 - 24| f(-27) = |-51| = 51 since any number out o...

RATIOS-1

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Given the ratios M:N = 16: 8 and N:P = 4:7 Find the ratio M:P. solution M = M x N P      N     P M =   16 x 4 1 P     ...

ABSOLUTE VALUE EQUATIONS-1

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If │2x – 13 │= 21; Find  x Solution ±(2x – 13 )= 21 2x -13= 21    OR   –(2x-13) = 21 2x – 13 = 21    OR   -2x+13= 21 2...

PERCENTAGE PROFIT-1

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A man got a profit of 200/= after selling an item for 8000/=. Find the percentage profit. Solution %’ge profit =   Profit    X  10...

DIFFERENCE OF 2 SQUARES-2

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Factorize 1-V 2 Solution We use difference of two squares a 2   – b 2   = (a - b)(a + b) 1-V 2   = 1 2 -V 2               ...

LOGARITHMS-2

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If log 3= 0.4771; find the value of log 90,000 without using tables. solution log90,000=log(10,000 x 9) =log10,000 + log9 ...

EXPONENTIALS-1

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If a 2 = 3; find the value of a 6 . solution a 6 = (a 2 ) 3 . a 6 = (3) 3 .   [ since a 2 = 3] a 6 = 3 x 3 x 3 a ...

APPROXIMATION-2

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Estimate the value of 4143  ÷ 52 Solution = 4123            52 = 4000       [ since 4143 ≈ 4000   and   52 ≈ 50 ]      50 ...