2015 Grade 8 MTAP Sectoral Level

This is the 2015 Metrobank-MTAP-NCR Math Challenge Sectoral Level for  Grade 8. Please inform me if you see any errors.

More past tests can be found here. If you have old tests, kindly send it to mtapreviewers@gmail.com, so we can share it here with answers/solutions.

Easy

1.) What is the slope of the line with equation 4x + 3y - 2 = 0?

2.) Arnold is 7 years older than her sister Rica. If Arnold will turn 36 seven years from now, how old is Rica now?

3.) Solve for x in the equation 2(x + 2) + x = 2x + 3.

Continue reading “2015 Grade 8 MTAP Sectoral Level”

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”