Chapter 2

Using Unknowns

An unknown is a missing number — find it with the opposite operation.

What is an unknown?

An unknown is a number we do not know yet. We use a box ◻ or a letter to stand for it. Our job is to find its value.

Key idea

To find an unknown, do the opposite operation. If it was added, subtract. If it was subtracted, work backwards to undo it.

Worked example

Worked example

Find ◻ if ◻ + 5 = 12.

We added 5, so do the opposite — subtract 5:
◻ = 12 − 5 = 7

Check: 7 + 5 = 12. Correct! So ◻ = 7.

Always check

Put your answer back into the sentence to make sure both sides are equal.

Remember

  • An unknown stands for a missing number.
  • Use the opposite operation to find it.
  • Check by putting your answer back.

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