Practice Problems

1. Simplify: \( 3x^2 \cdot 2x^3 \)
2. Solve: \( 2x + 5 = 11 \)
3. Solve inequality: \( 3x - 7 \le 5 \)
4. Factor: \( x^2 - 16 \)
5. Solve quadratic: \( x^2 + 4x - 5 = 0 \)
6. Complete the square: \( x^2 + 6x + ? = 0 \)
7. Simplify rational expression: \( \frac{x^2 - 9}{x^2 - 6x + 9} \)
8. Solve system by substitution: \( x + y = 6, 2x - y = 4 \)
9. Graph: \( y = 2x + 1 \) and \( y = -x + 3 \)
10. Word problem: A store sold 50 items. Shoes $20, hats $10. Total $700. Find numbers of shoes and hats sold.