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WAEC Mathematics Past Questions & Answers - Page 234

1,166.

Simplify $\frac{4}{x+1}-\frac{3}{x-1}$

$\frac{x+7}{x^2 - 1}$

$\frac{x-7}{x^2 + 1}$

$\frac{x-7}{x^2 - 1}$

$\frac{x-11}{x^2 - 1}$

View answer & explanation

Correct answer is C

$\frac{4}{x+1}-\frac{3}{x-1}$

= $\frac{4x - 4 - 3x - 3}{(x+1)(x-1)}=\frac{x-7}{x^2 - 1}$

1,167.

Given that $81\times 2^{2n-2} = K, find \sqrt{K}$

$4.5\times 2^{n}$

$4.5\times 2^{2n}$

$9\times 2^{n-1}$

$9\times 2^{2n}$

View answer & explanation

Correct answer is C

$K = 81 \times 2^{2n - 2}$

$\sqrt{K} = \sqrt{81 \times 2^{2n - 2}}$

= $9 \times 2^{n - 1}$

1,168.

If $y = \sqrt{ax-b}$ express x in terms of y, a and b

$x = \frac{y^2-b}{a}$

$x = \frac{y+b}{a}$

$x = \frac{y-b}{a}$

$x = \frac{y^2 + b}{a}$

View answer & explanation

Correct answer is D

$y = \sqrt{ax-b}$

$y^2 = ax-b$

$y^2 +b = ax$

$x = \frac{y^2 + b}{a}$

1,169.

Simplify $\frac{2-18m^2}{1+3m}$

$2(1+3m)$

$2(1+3m^2)$

$2(1-3m)$

$2(1-3m^2)$

View answer & explanation

Correct answer is C

$\frac{2-18m^2}{1+3m}=\frac{2(1-(3m)^2)}{1+3m}$

$frac{2(1-(3m)(1+3m)}{1+3m}=2(1-3m)$

1,170.

Given that m = -3 and n = 2 find the value of $\frac{3n^2 - 2m^3}{m}$

-22

-14

View answer & explanation

Correct answer is A

Given that m = -3, n = 2, the value of
$\frac{3n^2 - 2n^3}{m}\\ \frac{3(2)^2 -2(-3)^2}{-3}= \frac{12+54}{-3}=-22$

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