Final answer:
To express '6 more than the difference of b and 5', the algebraic expression is b - 5 + 6, which simplifies to b + 1.
Step-by-step explanation:
The question is asking to write an algebraic expression that represents '6 more than the difference of b and 5'. This can be done by first finding the difference between b and 5, and then adding 6 to that result. Therefore, the expression is:
b - 5 + 6, which simplifies to b + 1.
When simplifying algebraic expressions, it's important to eliminate terms wherever possible to make the expression easier to work with. In this example, the -5 and +6 are combined into a single term, simplifying the algebra. Lastly, always check your answer to ensure it is reasonable.