WAEC 2015 · Paper 2 · Q2

(a)
Solve the inequality $4 + \frac34(x + 2) \le \frac38x + 1$ .
Show the answer
$x \le -12$
(b)
The diagram shows a rectangle $PQRS$ , $20\text{ cm}$ high, from which a square of side $x\text{ cm}$ has been cut out of the middle of the base, leaving $10\text{ cm}$ on each side. If the area of the shaded portion is $484\text{ cm}^2$ , find the values of $x$ .
Separate values with commas, e.g. 3, −2

Worked solution (try it first)

The denominators are 4 and 8, so multiply every term by 8: $32 + 6(x + 2) \le 3x + 8$ .
Expand: $32 + 6x + 12 \le 3x + 8$ , so $6x + 44 \le 3x + 8$ .
Collect: $3x \le -36$ , so $x \le -12$ .