Expanding or Simplification 27-31-july-2025.pptx

Linear functions and graph line

1. Expanding or Simplification By Muhammed ilyas khan G - math - 111

2. What is an Expression? Definition: An expression is a combination of numbers, letters, and operations like +, -, ×, and ÷. Example: 2x + 3 is an expression.

3. What Does Expanding Mean? Definition: Expanding means to simplify or open up an expression by removing brackets. Example: Expand: 3(x + 4) = 3x + 12 Explanation: Multiply everything inside the bracket by 3.

4. What Does Simplifying Mean? Definition: Simplifying means combining like terms to make an expression shorter. Example: Simplify: 2x + 3x = 5x Explanation: Combine the terms with the same variable.

5. Step-by-Step Expansion Example : 4(x + 2) Step 1: Multiply 4 by x → 4x Step 2: Multiply 4 by 2 → 8 Final Answer: 4x + 8

6. Step-by-Step Simplification Example: 5x + 2x + 3 Step 1: Combine 5x + 2x → 7x Final Answer: 7x + 3

7. Practice Problem 1 (Expansion) Problem: Expand: 2(x + 3) Solution : 2x + 6

8. Practice Problem 2 (Simplification) Problem: Simplify: 3x + 4x - 2 Solution: 7x - 2

9. Multiple Choice Question 1 Question: What is the result of expanding 5(x + 2)? A) 5x + 2 B) 5x + 10 C) 5x - 2 D) 10x

10. Multiple Choice Question 2 Question: What is the simplified form of 4x + 3x - 2x? A) 9x B) 7x C) 5x D) 10x

11. Summary Expanding means removing brackets by multiplying. Simplifying means combining like terms.

12. Any Questions