3.2.2 Algebraic Formulae, PT3 Practice


Question 5:
Given 8 s 3 h 4 = 2 , express s in terms of h.

Solution:
8 s 3 h 4 = 2 8 s 3 h 4 = 4 Square both sides 8 s 3 h = 16 8 s = 16 + 3 h s = 16 + 3 h 8 s = 2 + 3 h 8



Question 6:
Given 2ab=3a b 2 2 . Express a in terms of b.

Solution:
2ab=3a b 2 2 3a2ab= b 2 2 a( 32b )= b 2 2 a= b 2 2( 32b )


Question 7:
Given a= b+1 a . Express b in terms of a.

Solution:
a= b+1 a b+1 = a 2 [ ( b+1 ) 1 2 ] 2 = ( a 2 ) 2 b+1= a 4 b= a 4 1

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