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Why does my child think 3x + 4 = 7x?

Your child combines terms that can't be combined, such as x and a number.

Why children do it

Adding the numbers they can see is natural, but only like terms combine: x terms with x terms, and plain numbers with plain numbers. 3x + 4 is three x's and four ones, which can't be put together, any more than 3 apples and 4 oranges make 7 apples.

How to help at home

Sort the terms into two piles, x terms and plain numbers. Only terms in the same pile can be added together.

The right way

Simplify: 7x + 9 + 8x + 5

  1. 7x + 8x + 9 + 5Put the like terms together.
  2. 15x + 14Add the x terms, then the numbers.

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