Question 1

 (a) $$R = \frac{V}{I}$$ (b) $$r = \frac{C}{2\pi}$$ (c) $$x = \frac{y - 2}{3}$$ (d) $$u = v - at$$ (e) $$b = \frac{x + 7}{2a}$$ (f) $$T = \frac{PV}{nR}$$ (g) $$t = \frac{v - u}{a}$$ (h) $$x = \frac{5 - y}{3}$$ (i) $$p = \frac{9 - t}{2q}$$ (j) $$n = \frac{2S}{a + d}$$ (k) $$sin\theta = \frac{n\lambda}{2d}$$ (l) $$s = \frac{v^2 - u^2}{2a}$$

Question 2

 (a) $$b = \frac{2A}{h}$$ (b) $$L = \frac{p}{2}-B$$ (c) $$h = \frac{3V}{\pi r^2}$$ (d) $$t = \frac{d}{s}$$ (e) $$u = \frac{2S - at^2}{2t}$$ (f) $$h = \frac{A}{2\pi r} - r$$ (g) $$a = \frac{3d}{2k}-\frac{c}{2}$$ (h) $$d = \frac{2A}{a + b}$$ (i) $$a = \frac{2A}{d} - b$$ (j) $$x = \frac{a - b}{y}$$ (k) $$a = \frac{2S}{n}- d$$ (l) $$cosA = \frac{b^2 + c^2 - a^2}{2bc}$$

Question 3

 (a) $$r = \sqrt{\frac{A}{\pi}}$$ (b) $$c = \sqrt{\frac{E}{m}}$$ (c) $$r = \sqrt{\frac{3V}{\pi h}}$$ (d) $$u = \sqrt{v^2 - 2as}$$ (e) $$b = \sqrt{h^2 - a^2}$$ (f) $$L = g\left( \frac{T}{2\pi}\right) ^2$$ (g) $$v = \sqrt{\frac{2E}{m}}$$ (h) $$a = \frac{2(s - ut)}{t^2}$$ (i) $$g = L\left(\frac{2\pi}{T}\right)^2$$ (j) $$r = \sqrt[3]{\frac{3V}{4\pi}}$$ (k) $$x = \sqrt{r^2 - y^2}$$ (l) $$x = \sqrt{2 - \left(\frac{y}{5}\right)^2}$$

Question 4

 (a) $$x = \frac{c}{b - a}$$ (b) $$x = \frac{y}{p - q}$$ (c) $$x = \frac{a + c}{3 - b}$$ (d) $$x = \frac{2a}{a - b}$$ (e) $$x = \frac{2p + 5q}{q - p}$$ (f) $$x = \frac{2b -a}{3}$$ (g) $$x = \frac{b +cy}{d + y - 3}$$ (h) $$x =\frac{2}{1-bc}$$ (i) $$x = \frac{15 - 2a}{a - b - 5}$$ (j) $$x = \frac{bd - 4a}{5 - a - b}$$ (k) $$x = \frac {2 + cd - ab}{a - c}$$ (l) $$x = \frac{4 - 2a}{a - 2 - bc}$$

Question 5

 (a) $$h = \frac{V}{\pi r^2}$$ (b) $$y = \frac{2x - a}{x + 1}$$ (c) $$m = \frac{E}{c^2}$$ (d) $$a = \frac{v - u}{t}$$ (e) $$I = \frac{V}{R}$$ (f) $$d = \frac{n\lambda}{2sin\theta}$$ (g) $$t = \frac{v - u}{a}$$ (h) $$x = \frac{10d - ad^2}{ad + 1 - 2d}$$ (i) $$v = \frac{fu}{u - f}$$ (j) $$x = \frac{a - y^2}{2}$$ (k) $$h = \sqrt{\frac{W}{I}}$$ (l) $$x = \frac{bc - 5a - 2}{a - b -1}$$