Review Questions

1. Solve for \( x \): \( 7x - 5 = 23 \)
2. Simplify: \( 3x^2 + 5x - 2x^2 + 4 \)
3. Graph \( y = 2x + 1 \) and identify slope and intercept.
4. Solve the system: \( x + y = 10 \), \( 2x - y = 3 \)
5. Factor: \( x^2 - 9x + 20 \)
6. Solve the inequality: \( 4x - 7 \le 9 \)
7. Evaluate \( f(x) = 2x^2 - 3x + 1 \) for \( x = 4 \)
8. Graph the exponential function \( y = 2^x \)
9. Complete the square: \( x^2 + 6x + 5 \)
10. Word problem: A rectangle has perimeter 30. If length is twice width, find dimensions.
11. Solve 3-variable system: \( x + y + z = 15 \), \( 2x - y + z = 10 \), \( x + 2y - z = 12 \)
12. Determine solutions for: \( 3x + 6y = 12 \), \( x + 2y = 4 \)