Maths Olympiad Prep

Library / CEMC Cayley /125 of 470

CEMC Cayley, 2024

Algebra Difficulty 1.1 Junior Find the answer Canada

If x=3x = 3, the value of −(5x−6x)-(5x - 6x) is

Pick one

Solution

When x=3x = 3, we have −(5x−6x)=−(−x)=x=3-(5x - 6x) = -(-x) = x = 3.

Alternatively, when x=3x = 3, we have
−(5x−6x)=−(15−18)=−(−3)=3-(5x - 6x) = -(15 - 18) = -(-3) = 3.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.