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7.2.1 Algebraic Formulae, PT3 Practice

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7.2.1 Algebraic Formulae, PT3 Practice
 
Question 1:
Given m2+ 7 = k, express m in terms of k.

Solution:
m 2 + 7 = k m 2 = k − 7 m = k − 7

  

Question 2:
Given 5km = mn – 2k, express k in terms of m and n.

Solution:
5 k m = m n − 2 k 5 k m + 2 k = m n k ( 5 m + 2 ) = m n k = m n 5 m + 2

 

Question 3:
Given 2 k − m 2 n = m , express m in terms of k and n.

Solution:
2 k − m 2 n = m − m − m 2 n = − 2 k m + m 2 n = 2 k 2 n m + m 2 n = 2 k m ( 2 n + 1 ) 2 n = 2 k m = 4 k n 2 n + 1


Question 4:
Given 4 m T − k = 3 h m  , express T in terms of h and m.

Solution:
4 m T − k = 3 h m 4 m 2 = 3 h T − 3 h k 3 h T = 4 m 2 + 3 h k T = 4 m 2 + 3 h k 3 h T = ( 4 m 2 + 3 h k 3 h ) 2 ← Square both sides



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