Final answer:
The sum of 5 and 1/2 of a number is algebraically represented as 5 + 0.5x or 5 + (1/2)x.
Step-by-step explanation:
To represent the sum of 5 and 1/2 of a number algebraically, you would use the expression 5 + 0.5x or 5 + (1/2)x. This is because 1/2 of the number x is expressed as 0.5x, effectively halving the value of x. The other options provided are incorrect because they either do not accurately reflect the halving of x or do not represent a simple sum as required by the question.