# Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 5

This is the fifth part (questions 41-50) of the solutions of the Grade 8 MTAP 2015 Elimination Questions. You can read the solutions for questions 1-10 11-20, 21 – 30, and 31 – 40

41.) If $f (2x) = 2 - 3x$, what is $f(10)$?

Solution
$2x = 10$, $x = 5$.
$f(10) = 3 - 3(5) = -13$

42.) What is the equation of the line that is parallel to $2x + 5y + 6 = 0$ and passes through $(1, 1)$?

Solution

Parallel lines have the same slope, so we get the slope of the given line. That is,

$2x + 5y = -6$
$5y = -2x - 6$
$y = \frac{-2}{5}x - \frac{6}{5}$

So, the slope of the given line is $-\frac{2}{5}$Continue reading

# Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 4

This is the fourth part (questions 31-40) of the solutions of the Grade 8 MTAP 2015 Elimination Questions. You can read the solutions for questions 1-10 11-20, and 21 – 30

Although these solutions were carefully checked, the solver is only human. Kindly comment in the box below if you see any errors.

31.) Factor completely: $a^2c^2 + b^2d^2 - a^2d^2 - b^2c^2$.

Solution

Rearranging the terms, we obtain
$a^2c^2 - a^2d^2 - b^2c^2 + b^2d^2$.

Factoring by grouping, we have
$a^2(c^2 - d^2) - b^2(c^2 - d^2)$
$= (c^2 - d^2)(a^2 - b^2)$
$= (c - d)(c + d)(a - b)(a + b)$.

Answer: (a + b)(a – b)(c + d)(c – d)  Continue reading