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Mechanical Engineering Board Exam Reviewer: Algebra, Mathematics, Computation Part 1

Here’s a set of question on the topic Mathematics, specifically on Algebra. These questions are similar to those coming out of the board exam.

Instruction: Choose the best answer.

1. Which of the following is the solution set of the equation x^2-2x-15 = 0
a. (3, -5)
b. (5, -3)
c. (15, -1)
d. (-15, 1)

2. The next term in the progression 2, 8, 32, 128 is …
a. 128
b. 256
c. 512
d. 1024

3. Solve for x in the equation 3 lnx = 8
a. e^ (8/3)
b. e^ (3/8)
c. e^ (4/3)
d. e^ (3/4)

4. If x + y = 1 and x^2+y^2=2. Find x^4+y^4
a. ½
b. 3/4
c. 15/4
d. 7/2

5. If lnx=5 and lny=2, lnx3/lnx4
a. 10/3
b. 15/8
c. 125/16
d. 5/2

6. Joan can type the whole document in 3 hrs. On the other hand, James, being new to the job can type the same document in 5 hours. If they work together, how long can they finish 2 documents?
a. 3 hrs
b. 3.5 hrs
c. 2.75 hrs
d. 3.75 hrs

7. Three numbers are in the ratio 1: 2: 4. Find the numbers if their sum is 42.
a. 6, 12, 24
b. 4, 12, 36
c. 4, 16, 22
d. 3, 15, 24

8. Find the sum of the coefficients in the expansion of (5x-4)^5
a. 32768
b. 25
c. 243
d. 32

9. Evaluate the expression log 3+ log 2+ 4log7
a. 9.58
b. 4.79
c. 3.43
d. 4.16

10. The sum of an infinite geometric progression is 3 and the common ratio is 1/3. What is the first term?
a. 3
b. 2
c. 1
d. 6


Note: If you noticed a question with no correct answer in the option or the question itself seems to be erroneous, I would appreciate if you can send me an email or comment below. Computation-type review questions are very hard to do and requires extensive validation. I would appreciate any help for the improvement of this blog. Thanks!


  1. Thanks was just searching for that kind of evaluations

  2. Thanks for the provided test. Assuming algebra isn't the most challenging course in college? Isn't too hard for students?

  3. Thanks for the shared set of questions on the topic. This kind of information is useful and helpful for academic students.

  4. PTE braindumps Myptequestions study pack is your ultimate destination! The questions are made with an aim to impart you optimum benefit within minimum span of time.

  5. A very awesome blog post. We are really grateful for your blog post. You will find a lot of approaches after visiting your post. picbear

  6. Algebra is one of the broad areas of mathematics, along with number theory, geometry, and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; It is a unified formula of almost all mathematics. If you want to be good at algebra you have to be familiar with a variety of formulas to solve algebraic sums and it can be confusing to remember them all. Algebra is one of the most difficult parts of math and many students like to avoid it as much as possible. Here are the Top ways to Master Algebra quickly. Thanks for this beneficial article.


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