1. What is the first step when simplifying: (3x² + 2x - 1) + (x - 2)(x + 4)?

2. When multiplying (2x + 3)(x - 1), what is the coefficient of the x term?

3. Which operations require careful attention to order of operations when working with polynomials? (Check all that apply)

4. What is the simplified form of (x² + 3x) - (2x² - x + 1)?

5. Simplify: (2x² + 5x - 3) + (x + 1)(x - 2)

6. Simplify: (4x² - 3x + 2) - (x² + 2x - 1) + (2x - 3)(x + 1)

7. A rectangular garden has length (3x + 2) feet and width (x - 1) feet. If you want to add a border that increases the total area by (2x² + x - 5) square feet, write and simplify an expression for the total area including the border.

8. A student simplified (x + 2)² - (x - 1)(x + 3) and got 2x + 1. Explain the steps this student should have taken and identify if this answer is correct.

9. Describe a real-world situation where you might need to add, subtract, and multiply polynomial expressions in the same problem.

10. What is the most important thing to remember about order of operations when working with polynomial expressions that involve multiple operations?