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Equations. Solving problems using equations

An equation is an equality with a letter (an unknown number) that you want to turn into a true numerical equality. A number that makes the equality true is called a root (or solution) of the equation. How to solve a problem with an equation: 1) name the unknown with a letter (xx, yy, …); 2) from the story, write an equation (turn phrases into addends, subtrahends, products, and so on); 3) solve the equation (using arithmetic rules); 4) check the answer in the wording of the problem (units, whether it is reasonable, “became” vs “remains”); 5) write the answer and say what the found number means.
Unknown — a letter; equation — an equality with that letter
Root — a number that makes the equality true
From the story to an equation, from the equation to the answer
A sense check in the story is required
Unknown addend: x+a=bx+a=b
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