1. Here is a quadratic equation you can solve: $$x^2 - 5x + 6 = 0$$ 2. A linear equation example: $$2x + 3 = 7$$ 3. A system of equations: $$\begin{cases} 3x + 2y = 12 \\ x - y = 3 \end{cases}$$ 4. A simple exponential equation: $$2^x = 8$$ Try solving any of these equations, and if you want, I can help you solve them step-by-step!