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Algebra Through Puzzles

# Scale and Lever Logic

What is the mass of a single red square?

This course investigates how the logic you intuitively apply when solving puzzles mirrors fundamental algebraic strategies.

The goal is to help you become a stronger problem solver!

To do so, we will teach you new mathematical techniques and push you to recognize and generalize the algebraic techniques that you already intuitively use as you problem-solve.

• The mass of a full jar of honey is 1000 grams.
• With half of the honey, the total mass is 600 grams.

What is the mass of the empty jar in grams?

What weight will the fourth scale display?

Think carefully! There's a quick and clever shortcut for solving this.

At the end of this course, you'll have a thorough toolbox of algebraic techniques that feel natural to use and empower you to master complex problems and puzzles!

How many green squares should be placed on the right side of the bottom scale in order to make it balance when released?

We’ll also delve into some applications of algebra in physics!

Which way will the balance above tilt if released?

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