This lesson covers a wide variety of topics related to algebraic expressions, as well as how to add, subtract, multiply, divide, and simplify them. Additionally, students will learn how to calculate the perimeter of a parallelogram in terms of a variable, identify and work with like terms, find factors of numbers in prime and index forms, and resolve issues related to negative indices. The lesson will also cover the concept of brackets and expands on other aspects related to indices. Finally, students will practice solving real-world problems to apply their knowledge. Key Topics Covered: - Adding and subtracting like terms - Working with multiplication and division in expressions - Utilizing index notation and product of prime factors - Exploring brackets - Expressing a number as a product of its prime factors - Working with multiplication and division of same bases by different indices - Examining negative indices, converting negative powers to positive powers, and evaluating related questions - Analyzing the effects of multiplying indices and practicing related questions - Investigating fractional and non-unit indices, rewriting terms with index, and solving related questions to find unknown terms - Exploring algebraic expressions and simplifying numbers