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Simplifying Shortcuts

Save time with this clever thinking.

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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:

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

Master the problem solving skills of Algebra Through Puzzles.

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