a conjecture
The Perpendicular bisector concurrency conjecture is the circumcenter
My conjecture (an opinion based on incomplete information) is that the product of two odd numbers is 22. There is no requirement for a conjecture to be true.
Since "pre-" means before, then pre-algebra would be before algebra. Conversely, algebra would be after pre-algebra. Generally, the next class after a pre-algebra class would be Algebra I, followed by Algebra II.
theorem
Any conjecture you want; a conjecture is merely an opinion or conclusion based on given information. Whether the conjecture is true or not is left to be proved (if provable at all). One opinion (conjecture) could be that the sum is "blue". It's a totally nonsense conjecture, but its a conjecture none the less. A sensible conjecture might be that the sum is odd. This can be tested and found to be true or false by summing the first 46 odd numbers (a mechanical method that is fairly easy in this case), or by the mathematical manipulation of axioms via algebra (a mathematical proof).
The future tense of "conjecture" is "will conjecture."
a conjecture
The Poincaré Conjecture.
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.
My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.
A conjecture is a guess, theory, hypothesis, or proposition.
The word "conjecture" is a noun. It refers to an opinion or conclusion based on incomplete information.
A conjecture is an opinion based on incomplete information, or a guess. It need not be true - or even sensible. So my conjecture is that the sum of two fractions is greater than three quarters. That is a nonsensical conjecture, but it is a conjecture and that is what the question requires.
One possible conjecture is that each square number up to 1000 has 4 factors. The conjecture is manifestly false, but it is still a conjecture.
A conjecture is a proposition that is unproven but appears correct and has not been disproven.