Mathematics 0580: LINEAR EQUAETION Topical Past Paper Questions

**(a)** $f(x) = 3x + 1 \qquad g(x) = 5 - 3x$ > **(i)** Find $x$ when $f(x) = g(x)$. [2] > **(ii)** Find $g^{-1}(x)$. [2] > **(iii)** Find $\mathrm{gg}(x)$. > > Give your answer in its simplest form. [2] **(b)** $\mathrm{h}(x) = 2^{2x}$ > Find $x$ when $\mathrm{h}^{-1}(x) = 2$. [2…

These expressions are all equal in value. $$ \frac{5x-2}{3} \quad 10-x \quad y+11 $$ Find the value of y. y = [5]

(a) $ P = 3a + 5 $ Find the value of $ P $ when a = 2. (b) Solve these equations. (i) $ 7x = -42 $ (ii) $ 9(8x - 7) = 72 $ (c) $ 5^8 \times 5^k = 5^{-24} $ Find the value of $ k $. (d) Solve the simultaneous equations. $ -6x - y = 13 $ $ 8x + y = -51 $ $ x = $ ..... [1] $ y = $ .…