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Algebra Balance

Linear Equations Game (the balance method)

MathematicsSecondary, Sixth Form
Play Algebra Balance →

A maths game to solve equations without fear: the equation appears as a balanced scale and you apply the same operation to both sides — tap a term to subtract it from both pans, and divide at the end — until x stands alone. Equality is kept at every step, so you see why the method works, not just how.

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Mathematics · Secondary, Sixth Form

🧠 Pedagogical Benefits

The balance method

Internalising that "whatever you do to one side you do to the other" is the basis for solving equations. The game makes it visual and avoids the classic sign-flipping mistakes.

Inverse operations

Cancelling a +3 by subtracting 3, or undoing a ×2 by dividing by 2, trains inverse operations, key across all secondary-school algebra.

No fear of starting

By tapping terms and seeing the equation simplify step by step, students overcome the "I don't know where to start" block and gain confidence.

💡 Practical Example

"2x + 3 = 11 appears. The student taps the +3 (subtracted from both sides) → 2x = 8, then presses divide by 2 → x = 4."

📝 Equations on paper (with the balance)

Prefer to learn without screens? Try this analogue version:

  1. 1

    Write the equation and draw a vertical line: it is the pivot of the balance (the = sign).

  2. 2

    To remove a number from one side, subtract (or add) it on the other side too. Note it below.

  3. 3

    When you reach something like 2x = 8, divide both sides by the number multiplying x.

  4. 4

    Check your solution by substituting x with the number in the original equation.

🎲 Similar activities you might enjoy

If you like Algebra Balance, these activities work similar skills:

Real two-pan balance

With a two-pan balance and weights, represent an equation and see you must remove the same from both sides to keep it level.

Hidden-box method

x is a box with a hidden number. What value makes both sides weigh the same? Reasoning before formal algebra.

Substitution

Check solutions by trying numbers in the equation until both sides match. Reinforces what "to solve" means.

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