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One stroke per sentence: draw a bar model to sort out how the unknowns relate, then move step by step to shorter symbols.

  1. 1Sum and Difference Problems9:49
  2. 2Sum and Difference with Multiples9:47
  3. 3Elimination5:59
  4. 4Substitution4:24
  5. Now playing: 5Writing Equations5:46
  6. 6Solving for a Group4:18

Relationships between Unknowns: Writing Equations

Methods in this video

Tap a time to jump to where the video teaches that method.

  1. 1

    One amount, two ways: set them equal

    When to use it: The same amount is described twice, or a rule lets you build it another way (▲ × 4 = ● and ▲ + 24 = ●; the top of a pyramid is 40 and also adds up from below; several people linked by 'more' and 'times' with a total). Use one symbol for the number you don't know.

    • Give the unknown number one symbol, and write everything else with it.
    • One amount written two ways: put an equals sign between them.
    • Cross out what's the same on both sides. What's left is the difference.

Practise exam-style questions with these methods

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