You already took the 30-item practice exam on the Laplace Transform Series Index Page. This post gives you the full solution for every item, written the way you should show your work on exam day. No theory recap. Just the tool being tested, the steps, the answer, and the specific trap to watch for on each item. If you got something wrong, find it below and read slowly. Then close this page and solve a similar problem from scratch.
Part A — Definition, Basic Transforms and Properties (Items 1 to 5)
Full lesson: Part 1 — Definition, Basic Transforms and Properties
Item 1. What is 
?
?Choices: (A) 
(B) 
(C) 
(D) 
Tool tested: Basic pair — 
Given: 
Find: 
Solution:
Step 1: A bare constant 
is 
, so it goes through the 
pair.
![\[\mathcal{L}\{7\} = 7 \cdot \mathcal{L}\{1\} = 7 \cdot \dfrac{1}{s}\]](https://pinoybix.org/wp-content/ql-cache/quicklatex.com-dafb0d7090cc81050c314d20db36cad7_l3.png "Rendered by QuickLaTeX.com")
Examiner note: Choice A treats the constant as not needing transformation at all — the “bare constant” trap covered in Part 1. Every constant still passes through 
, it does not stay as-is.
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What to Do With Your Score
Go back to the Series Index Page and check your raw score against the interpretation table there. If you missed three or more items in any single part, that is the part that needs another pass — not this solutions page, but the full post with all 10 worked problems. Work through those problems without looking at the solutions first. That is the only kind of practice that actually moves your score on exam day.
Pay closest attention to misses in Part B and Part E. Part B — partial fractions — carries the most items on this exam because it is the highest point-loss skill in the entire topic, and every later part depends on getting it right. Part E — engineering applications — carries the second-most items because it is where every other part gets combined and tested together; a miss there often traces back to a gap in Part 1, 2, or 3 rather than the applications post itself.
If you are reviewing for EE or ECE, this entire series is high-priority — RLC circuits and transfer functions appear on nearly every exam cycle. If you are reviewing for ME, prioritize Part 3 and Part 5 specifically, since vibration analysis and damping classification are the items most likely to appear on your board.
Series navigation: Part 1 | Part 2 | Part 3 | Part 4 | Part 5 | Series Index
Published by PinoyBIX.org — Engineering Education for Every Filipino Student. Mathematics · Board Exam Review · Premium Content.
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