Middle School

Translate each sentence into an equation.

1. One half of a number is four.
2. Six less than a number is nine.
3. Twice a number is 12 more than five times a number.
4. Five more than twice x is five less than x.
5. Eleven more than twice x is five less than x.

Answer :

Final answer:

The sentences are translated into equations as: 1) 0.5x = 4, 2) x - 6 = 9, 3) 2x = 5x + 12, 4) 2x + 5 = x - 5, and 5) 2x + 11 = x - 5.

Explanation:

Each sentence can be translated into an equation as follows:

  1. One half of a number is four: Let's denote the number as 'x'. The equation therefore is 0.5x = 4.
  2. Six less than a number is nine: Again denoting the number as 'x', the equation to reflect this is x - 6 = 9.
  3. Twice a number is 12 more than five times a number: With 'x' being the number, the equation would be 2x = 5x + 12.
  4. Five more than twice x is five less than x: This can be represented as 2x + 5 = x - 5.
  5. Eleven more than twice x is five less than x: Represented as 2x + 11 = x - 5.

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