1. Evaluate the expression: $10 + 4 \times 5 = \_\_\_$
2. A common mistake is to evaluate $20 \div 5 \times 2$ by multiplying first. The correct value, evaluating from left to right, is $\_\_\_$.
3. A student incorrectly simplified $15 - 2 \times 6$ to $78$. What was the student's mistake?
4. Evaluate the expression $-4^2$. The value is $\_\_\_$.
5. Simplify the expression: $6 + 10 \div 2 + 2 = \_\_\_$
6. Simplify the expression: $4 + 6(3 + 6) = \_\_\_$
7. Simplify the expression: $(3 + 7)^2 = \_\_\_$
8. Simplify the expression: $33 \div (3 + 8) \cdot 2 = \_\_\_$