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

Answer: – 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 5”

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 “Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 4”