Mathematics 9-1 0980: Algebra and Graphs Topical Past Paper Questions

Write $ \frac{8x^{2}+24x}{2x^{2}-18} $ as a single fraction in its simplest form. [3]

$$ \mathrm{f}(x)=7^{x-4} $$ Find the value of x when (a) $$ \mathrm{f}(x)=1 $$ (b) $ \mathrm{f}^{-1}(x)=1 $. x = .....

(a) This rectangle has area 190 cm $ ^{2} $. (i) By forming and solving an equation, show that x = 8.5. (ii) Work out the perimeter of the rectangle. [4] [4] (b) The diagram shows a sector OAB of a circle, with centre O, and a chord AB. The shaded segment has area $ 30 \, cm^{2}…