Assessment Questions

1. Solve for \( x \): \( 5x - 7 = 18 \)
2. Simplify: \( 4x^2 + 3x - x^2 + 5 \)
3. Graph \( y = -x + 3 \) and identify slope and intercept.
4. Solve the system: \( x + 2y = 8 \), \( 3x - y = 5 \)
5. Factor completely: \( x^2 - 7x + 12 \)
6. Solve inequality: \( 2x + 5 \ge 11 \)
7. Evaluate \( f(x) = x^2 - 4x + 6 \) for \( x = 3 \)
8. Graph exponential function \( y = 3^x \)
9. Complete the square: \( x^2 + 8x + 12 \)
10. Word problem: A rectangle’s length is 3 more than its width. Perimeter is 22. Find dimensions.
11. Solve 3-variable system: \( x + y + z = 9 \), \( 2x - y + z = 6 \), \( x + 2y - z = 7 \)
12. Determine the solution set for: \( 4x + 8y = 20 \), \( 2x + 4y = 10 \)