## 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”

## Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 1

Below is the first part of the Grade 8 MTAP 2015 Elimination Questions with Solutions and answers. If you find any errors, please comment on the box below.

1.) Find the average of the numbers -1, 3/2, and 1/2.

Solution

(- 1 + 3/2 + 1/2)/3 = 1/3

2.) How much larger is 2/3 than 1/6?

Solution
2/3 – 1/6 = 4/6 – 1/6 = 3/6 = 1/2

3.) If one ream contains 500 sheets of paper and a sheet of paper is 0.3 mm thick, how thick is one ream in meters?

Solution

500 × 0.3mm = 150 mm = 0.15m
4.) What is the second largest number among numbers $\sqrt{2}$, 3/2 , 1.4, $\sqrt{3}$ and 1.6?
$\sqrt{2}$ is around 1.41 and $\sqrt{3}$ is around 1.7.
$1:2.54 = x: 1, x = 0.39$