Math Tutoring Session Transcript

Problem Description

A high school student is preparing for a standardized test and has been struggling with order-of-operations problems. Their tutor has asked you to work through a set of expressions with them, producing a written explanation for each one that the student can review later at home.

The student needs to understand not just the final answer, but how to arrive at it — so the explanation must be thorough enough that someone who wasn't present could follow the reasoning from start to finish.

Work through the following expressions and write up the solutions in a file called solutions.md. For each expression, provide a complete worked solution.

Expressions to Solve

1. 3 + 6 × (5 + 4) ÷ 3 - 7
2. 2^4 - (3 + 1) * 2
3. 10 ÷ 2 + 3^2 * (4 - 1)

Output Specification

Write all solutions to solutions.md. Each solution should clearly present the expression being solved, walk through the evaluation process, and conclude with an unambiguous final answer.