If a number is halved and then increased by 10, which formula correctly represents this operation?

• A. x/2 + 10
• B. 10 - x/2
• C. x + 10/2
• D. x/2 - 10

Answer: (A)

The operation described involves two steps: first halving a number and then increasing the result by 10. To break this down, if we start with a number represented as ( x ), halving it would yield ( x/2 ).

Next, we take that halved value and increase it by 10. Therefore, the complete operation can be expressed as ( x/2 + 10 ). This accurately reflects the initial halving followed by the addition of 10, capturing the sequence of operations correctly.

The other options do not correctly represent this operation. For instance, subtracting or rearranging the terms in ways that do not follow the correct sequence will lead to different results or interpretations of the operations. The selected formula accurately encapsulates the intended arithmetic process.