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TRANSPOSING FORMULAE
Show each stage of the working carefully.
- Change the subject of the formula to w: (a) † f = w + 7 m (b) † d = w - r 2 (c) † s = w - 6 t (d) † p = 2 w + r (e) † n = 3 w - g (f) † r = 2 + 5 w (g) † h = nw + 3 (h) † t = fw - r (i) † m = kw + r 2 (j) † a = n + t^2 w (k) † v = 2 aw - h (l) † e = rtw + k (m) † r = 3 d - w (n) † u = r 2
- w (o) † h = at - w (p) † g = t - 3 w (q) † y = 4 - nw (r) † x = p - r w (s) † r = m - 2 aw (t) † h = s - m nw (u) † p = n - r 2 w
- Change the subject of the formula to t: (a) † h = 13 t (b) † f = 34 t (c) † v = 5 t 2 (d) † s = t - 2 3 (e) † g = t - 5 n (f) † r = t - 1 n (g) † d = 2 t + 3 5 (h) † x = 4 t - k n (i) † w = 3 t + r 2 (j) †
p = 14 (t - 6 ) (k)
u = 25 (t - 3 ) (l)
c = 13 ( 2 t + 5 )
(m) † n = 13 t - 2 (n) † e = 3 + 14 t (o) † u = 12 t - w (p) † d = 23 t + n (q) † w = 5 - 12 t (r) † k = u - 13 t (s) † m = t a
- Change the subject of the formula to r: (a) † s = r 2
- 5 (c) † h = r 2
- t (d) † w = 16 r 2 (e) † g = 32 r 2 (f) † t = n a r 2 (g) † p = r^2 - 3 4 (h) † x = r 2 + 4 n (i) † v = r 2 - h 5 (j) † u = 13 r 2
- 2 (k) † e = 12 r 2
- t (l) † k = 34 r 2
- m (m) † b = 3 r 2
- 5 (n) † c = 4 r 2
- n (o) † a = 5 r 2
- 3 (q) w = pr 2
- m (r) † v = ar 2
(s) x = (r - 2 )
2
(t) w = (r + n)
2
(u) t = ( 2 r + c)
2
- Change the subject of the formula to n: (a) † t = n - 2 (b) † h = r + n (c) † w = n - at (d) † x = 2 - n (e) † f = c - n (f) † g = ab - n (g) † r = 3 n + 2 (h) † p = 3 n - d (i) † c = 2 n + f (j) † d = an - 3 (k) † s = an - c (l) † e = nt + u (m) † u = 5 - 2 n (n) † k = w - 3 n (o) † t = h - an (p) † p = n - 5 (q) † g = n - t (r) † s = 3 - n (s) † h = x - n (t) † y = 3 n +^ r^ (u) † v = t - m n
- Change the subject of the formula to t: (a) † p = nt + 2 t (b) † u = at - r t (c) † c = r 2 t + 2 t (d) † r = 3 t + wt 2 (e) † e = at + 3 t 4 (f) † v = r 2 t - t 3 (g) † s = 2 t + 5 t (h) † m = a - 3 t t (i) † w = r 2 - t t (j) † d = p t + 2 t (k) † g = t + a 3 t (l) † s = 4 n + t t (m) † f = 3 t- 2 t (n) † n = t - 3 t (o) † p = p t - a t
- Change the subject of the formula to that given in square brackets: (a) † v = u + at [a] (b) † v 2 = u 2
- 2 as [s] (c) † s = ut + 12 at 2 [u] (d) † P = mgh [g] (e) † V = p r 2 h [h] (f) † K = 12 mv 2 [m] (g) † A = p r 2 [r] (h) † V = p r 2 h [r] (i) † V = 13 p r 2 h [r] (j) † V = 43 p r 3 [r] (k) † v = t 2
- 2 n 2 [n] (m) † m = 2 p v [v] (n) † d =
4 A
p [A] (o) T = 2 p
L
g
[L]
- (a) † n = t 2
- at (d) † n = 2 - x 2 (e) † n = c - f 2 (f) † n = ab - g 2 (g) † n = r 2 - 2 3 (h) † n = p^2 + d 3 (i) † n = c^2 - f 2 (j) † n = d 2 + 3 a (k) † n = s 2 + c a (l) † n = e^2 - u t (m) † n = 5 - u^2 2 (n) † n = w - k 2 3 (o) † n = h - t 2 a (p) †
n = ( p + 5 )
2 (q) †
n = (g + t)
2 (r) †
n = ( 3 - s)
2 (s) †
n = (x - h)
2 (t) † n =
(y -^ r)
2 3 (u) † n =
(t -^ v)
2 m
- (a) † t = p n + 2 (b) † t = u a - r (c) † t = c r 2 + 2 (d) † t = 2 r 3 + w (e) † t = 4 e a + 3 (f) † t = 3 v r 2 - 1 (g) † t =
s - 2 (h) † t = a m + 3 (i) † t = r 2 w + 1 (j) † t =
d - p (k) † t = a 3 g - 1 (l) † t = 4 n s - 1 (m) † t =
3 - f (n) † t =
1 - n (o) † t = a p - p
- (a) † a = v - u t (b) † s = v^2 - u^2 2 a (c) † u = 2 s - at 2 t 2 (d) † g =
P
mh (e) † h =
V
p r 2 (f) † m =
2 K
v^2 (g) † r =
A
p (h) † r =
V
p h (i) † r =
3 V
p h (j) † r =
3 V
4 p (^3) (k) † t = v 2
- 3 (l) † n = p p + 2 (m) † v = m 2 p
Ê
Ë
Á
2 (n) † A = 14 pd 2 (o) † L = g
T
2 p
Ê
Ë
Á
2
