1. The problem asks to find the correct algebraic expression for the phrase: "eight added to the product of five and three." 2. The phrase "product of five and three" means multiply 5 and 3, which is written as $5 \times 3$. 3. "Eight added to" means we add 8 to the product, so the expression is $8 + (5 \times 3)$. 4. Let's check the options: - A: $8 - (5 \times 3)$ subtracts the product from 8, which is incorrect. - B: $8 + (5 \times 3)$ adds 8 to the product, which matches the phrase. - C: $(5 \times 3) - 8$ subtracts 8 from the product, incorrect. - D: $(5 - 3) + 8$ subtracts 3 from 5 then adds 8, which is not the product. 5. Therefore, the correct expression is option B: $8 + (5 \times 3)$.