The document contains a series of mathematical exercises for practice. Below is a summary of the types of problems and their corresponding solutions provided in the document:

1. Simplifying Expressions with Exponents:

   • Various expressions are given with exponents, and the goal is to simplify them. The solutions are numerical results.

2. Simplification of Algebraic Expressions:

   • Algebraic expressions with variables are given. These need to be simplified using algebraic identities and operations.

3. Solving Linear Equations:

   • Linear equations are provided, and the task is to solve for the variable.

4. Solving Systems of Linear Equations:

   • Systems of equations with two variables are given. The solutions are values of $x$ and $y$ that satisfy both equations simultaneously.

5. Solving Quadratic Equations (Finding Roots of Polynomials):

   • Quadratic equations are given, and the task is to find the roots of these polynomials.

Would you like a detailed solution for any specific problem, or do you have any questions about the content?

Here are 5 related questions to explore further:

1. How do you simplify an algebraic expression with multiple terms?
2. What is the general approach to solving a system of linear equations?
3. How do you find the roots of a quadratic equation using the quadratic formula?
4. What are the common methods for simplifying expressions with exponents?
5. How can you verify the solutions of a polynomial equation?

Tip: When simplifying expressions or solving equations, always start by looking for common factors or patterns that can simplify the process.