Certainly! Here are two more equations added to the existing ones. Please let me know if you need a specific type of equation or context.

1. Linear Equation:

$2x + 3 = 11$

2. Quadratic Equation:

$x^2 - 4x + 4 = 0$

3. Exponential Equation:

$3^x = 27$

4. Logarithmic Equation:

$\log_2 (x) = 5$

Would you like detailed solutions or explanations for any of these equations?

Here are some related questions to expand on this topic:

1. How do you solve a system of linear equations?
2. What are the different methods to solve a quadratic equation?
3. Can you explain the properties of exponential functions?
4. What are the rules of logarithms and how do they apply to solving equations?
5. How do you graph a linear equation?
6. What is the significance of the discriminant in a quadratic equation?
7. How do you convert between exponential and logarithmic forms?
8. Can you provide examples of real-life applications of these types of equations?

Tip: When solving equations, always check your solutions by substituting them back into the original equation to verify their correctness.