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Represent a problem with an equation

Representing a problem with an equation means translating a situation involving joining, separating, putting together, taking apart, or comparing quantities into an addition or subtraction equation, typically within 20, with a symbol or blank for an unknown quantity when needed. The equation preserves the roles and relationships of the quantities and the meaning of equality; the unknown may be the result, a starting amount, or a change, rather than always the final answer. Variables, multi-step equations, and operations beyond addition and subtraction are not included.

Detailed Explanation: Represent a problem with an equation

A story problem can be turned into an equation by finding:

  • the amount you start with,
  • what happens to the amount,
  • the amount you have at the end,
  • and the unknown amount.

Example:
Mia has some stickers. Her friend gives her 5 more stickers. Now Mia has 12 stickers. How many stickers did Mia have at the start?

  1. Mia starts with an unknown number of stickers. Write a box for the unknown: â–¡\square.
  2. She gets 5 more, so we add 55: â–¡+5\square + 5.
  3. She has 12 stickers at the end, so this equals 1212.

The equation is:

â–¡+5=12\square + 5 = 12

The box stands for the starting amount. The equation shows that the starting stickers plus 5 more stickers makes 12 stickers.

To check the unknown, think: 7+5=127 + 5 = 12.
So, Mia had 77 stickers at the start.

Learn by doing: Represent a problem with an equation

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Algebraic Equation from Sentence - Addition and Subtraction


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