Transposition (3) More Transposition of Simple Formulae EXERCISE 1 1. Transpose for x (i.e. solve for x): (a)
x =4
(b) 3 x = 5
Ans:
Ans: 16
(c) 3 x 6 = 9
25 9
(d) 5 x 3 = x + 7
Ans: 25
Ans: 6.25
2. Transpose for x (i.e. solve for x): (a) 2 x + 5 = 20
(b) 3 x 1 + 5 = 11
Ans: x = 95
(c)
1+ 2 x 2
Ans: x = 5
(d) 2 3x + 16 + 3x = 13
1+ 2 x =1 3
Ans: x = 6.25
Ans: x = 3
2. Transpose for x (i.e. solve for x): (a) 2 x 2 = 8
(b) 3 x 2 5 = 1
Ans: x = ±2 2
(c) ( x + 2) 2 = 9
Ans: x = ±1.414
(d) 4( x 1) 2 =
9 4
Ans:
Ans: 1, 5
(c)
8 9 x + = x 2x 2
(d)
10 x = x 2
1 7 , 4 4
29 2x
Ans: x = ±5
Ans: x = ±7
2. Transpose for x (i.e. solve for x): (a) 3 x 2 = 3
(b) x 2
Ans: x = undetermined
(c)
x = 20
Ans: x = 4, 5
x 5 = 2 x+3
Ans: x = 2, 5