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
Answer: 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
Answer: 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
Answer: 0.15m

4.) What is the second largest number among numbers \sqrt{2}, 3/2 , 1.4, \sqrt{3} and 1.6?

Solution

\sqrt{2} is around 1.41 and \sqrt{3} is around 1.7.
Answer: 1.6

5.) If an inch is about 2.54 cm, what is 1 cm to the nearest hundredth of an inch?

Solution

1:2.54 = x: 1, x = 0.39

Answer: 0.39  Continue reading “Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 1”