Final answer:
The algebraic expression representing the sum of 10 and a variable b, multiplied by 8, is 8(10 + b) or 8 × (10 + b).
Step-by-step explanation:
The question asks for the expression representing the product of the sum of 10 and a variable b, and 8.
To solve this, you first add 10 and b together, then multiply the result by 8.
This translates to the algebraic expression 8(10 + b) or 8 × (10 + b), according to the standard order of operations (PEMDAS/BODMAS) which dictates that operations within parentheses are performed first before multiplication.