Algebra Through Puzzles

# A preview of "Simplifying Shortcuts"Join Brilliant Premium

In these quizzes, you’ll develop mental shortcuts which simplify problems, saving you time and effort. These skills make you more efficient in solving Algebra problems - but they’re also a lot of fun!

Here’s a quick challenge to get your mind racing:

$\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \frac{4}{5} \times \frac{5}{6} = \ {\color{red} ?}$

The types of shortcuts covered include guess and check, arithmetic tricks, the Gauss addition trick, and difference of squares. Many of these tricks will be explained both algebraically and visually:

$a^2 - b^2 = (a-b)(a+b)$

By the end, you’ll be able to solve questions like these in a matter of seconds:

$6^2 - 5^2 + 4^2 - 3^2 + 2^2 - 1^2 = \ {\color{red} ?}$

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