Assessment Questions

1. Factor completely: \( x^2 + 8x + 15 \)
2. Solve: \( x^2 - 5x + 6 = 0 \)
3. Factor: \( 2x^2 + 7x + 3 \)
4. Solve: \( x^2 - 4x - 5 = 0 \)
5. Word problem: The product of two numbers is 54, and their sum is 15. Find the numbers.
6. Factor: \( x^2 - 25 \)
7. Solve: \( x^2 + 10x + 25 = 0 \)
8. Solve: \( 3x^2 - 6x = 0 \)
9. Word problem: Area of a rectangle is \( x^2 + 9x + 20 \). Find possible dimensions.
10. Mixed: \( x^2 - 6x + 8 = 0 \)