1. **State the problem:** We need to evaluate each of the four expressions and find their values. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). --- **Expression 1:** $8 + 4^2 \div 2$ 3. Calculate the exponent: $4^2 = 16$ 4. Substitute: $8 + 16 \div 2$ 5. Division first: $16 \div 2 = 8$ 6. Add: $8 + 8 = 16$ --- **Expression 2:** $3 \cdot 8 - 10 + 1$ 7. Multiply: $3 \cdot 8 = 24$ 8. Substitute: $24 - 10 + 1$ 9. Subtract and add from left to right: $24 - 10 = 14$ 10. Then $14 + 1 = 15$ --- **Expression 3:** $15 - 9 \div (8 - 5)$ 11. Calculate inside parentheses: $8 - 5 = 3$ 12. Substitute: $15 - 9 \div 3$ 13. Division first: $9 \div 3 = 3$ 14. Subtract: $15 - 3 = 12$ --- **Expression 4:** $5^2 - 10 \div 5$ 15. Calculate exponent: $5^2 = 25$ 16. Substitute: $25 - 10 \div 5$ 17. Division first: $10 \div 5 = 2$ 18. Subtract: $25 - 2 = 23$ --- **Final answers:** - Expression 1 = 16 (Choice C) - Expression 2 = 15 (Choice D) - Expression 3 = 12 (Choice A) - Expression 4 = 23 (Choice H) **Answer code:** CADH