Pregunta
upstudy study bank question image url

.
Write an algebraic equation for the wol
10. A number increased by
7.9 is 8.3 .
12. The quotient of a number
and 8 is 4 .
14. The difference between 31 and
number is 7 .

Ask by Potter Bowers. in the United States
Mar 27,2025

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Here are the algebraic equations:

Solución

Let’s write the algebraic equations for each of the given statements step by step.
  1. For the equation :
    • This is already in algebraic form:
  2. For the statement “A number increased by 7.9 is 8.3”:
    • Let the unknown number be . The equation can be written as:
  3. For the statement “The quotient of a number and 8 is 4”:
    • Let the unknown number be . The equation can be written as:
  4. For the statement “The difference between 31 and a number is 7”:
    • Let the unknown number be . The equation can be written as:
Now we have the following algebraic equations:

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Bonus Knowledge

Back in the day, kids learned algebra with chalk and blackboards! Algebra’s roots can be traced back to ancient civilizations like the Babylonians who used it to solve problems related to trade, land measurement, and astronomy. Fast forward to today, and we find algebra in coding, engineering, and even in optimizing the routes of your favorite delivery apps.
To tackle these equations, simply translate them into mathematical statements. For instance, the first translates to , or . For the second, leads to . Keep practicing! The beauty of algebra is like solving a puzzle, each step bringing you closer to clarity!

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