Maths Olympiad Prep

Library / /9 of 144

Algebra Difficulty 1.7 Junior Find the answer

Solve for xx in the equation (1)(2)(x)(4)=24(-1)(2)(x)(4)=24.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since (1)(2)(x)(4)=24(-1)(2)(x)(4)=24, then 8x=24-8x=24 or x=248=3x=\frac{24}{-8}=-3.

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.