This slideshare is about expressions. It is divided into expressions 1 and expressions 2. Expression 1 focuses on evaluating expressions which deals with substituting the known values in an equation to solve for the unknown. While, expressions 2 focuses on transposition of formula; change of subject of formula in a given equation.
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10. TRANSPOSITION OF FORMULA
Transpose the formula v= u + at to make ‘a’ the subject of
formula
v= u + at we want ‘a’ to stand alone
Move ‘u’ to the other side of the equation
v − u= at
This can be written as v − u= a × t
We still want ‘a’ to stand on its own, what can we do?
Divide both sides by t
(v − u) / t= a
Thus, a= (v − u) / t
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11. Transposition of Formula
Transpose d= 2 √h(2r − h) to make r the subject
d= 2 √h(2r − h) we want ‘r’ to stand alone.
This can be written as d= 2 × √h(2r − h)
We can divide both sides by 2
d/2 = √h(2r − h)
Square both sides
(d/2)2 = [√h(2r − h)]2
d2 /4 = h(2r − h)
Expand the bracket at the LHS
d2 /4 = 2rh − h2
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12. Transposition of Formula
Move h2 to the other side
d2 /4 + h2 = 2rh
Evaluate the LHS
(d2 + 4h2 ) / 4 = 2rh
Divide both sides by 2h
(d2 + 4h2 ) / 4 ÷ 2h = 2rh / 2h
(d2 + 4h2 ) / (4 × 2h) = r
(d2 + 4h2 ) / 8h = r
r = (d2 + 4h2 ) / 8h
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13. Transposition of Formula
Transpose v= [πh (3R2 + h2)] / 6 make R the subject of the
formula
v= [πh (3R2 + h2)] / 6
Cross multiply
6v = πh (3R2 + h2)
This can also be written as 6v = πh × (3R2 + h2)
Divide both sides by πh
6v / πh = 3R2 + h2
move h2 to the LHS
(6v / πh) − h2 = 3R2
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14. Transposition of Formula
Evaluate the LHS
(6v − πh3) / πh = 3R2
Divide both sides by 3
(6v − πh3) / πh ÷ 3 = R2
(6v − πh3) / 3πh = R2
Take the square root of both sides
√[(6v − πh3) / 3πh ] = R
R = √ [(6v − πh3) / 3πh ]
R = √ [(6v / 3πh ) − (πh3 / 3πh) ]
R = √ [(2v /πh ) − (h2 / 3) ]
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15. Transposition of Formula
Transpose the formula F = S(M − m) ⁄ M + m Make m the subject of
formula
F = S(M − m) ⁄ M + m
Cross multiply
F(M + m) = S(M − m)
Expand the brackets
FM + Fm = SM − Sm
Collect like terms
Fm + Sm = SM − FM
Factorise
m(F + S) = M(S − F)
Divide both sides by F + S
m= M(S − F) / (F + S)
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16. CONTACT DETAILS
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Expressions
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