🎯 Chapter: Algebra Basics & Formulas
🔹 1. What is Algebra?
👉 Example:
Algebra is a branch of mathematics in which letters (x, y) are used to represent numbers.
🔹 2. Variables & Constants
x + 5 = 10
Variable: unknown value (x, y)
🔹
Constant: fixed number (2, 5, 10)
👉
3. Basic Algebraic Expressions
Example:
🔹
2x + 3, 5y – 7
👉
4. Important Formulas
👉
(a + b)² = a² + 2ab + b²
👉
(a – b)² = a² – 2ab + b²
🔹
a² – b² = (a + b)(a – b)
👉
5. Solving Simple Expressions
Example:
👉
2x + 3x = 5x
Example:
🔹
5x – 2x = 3x
👉
6. Substitution Method
If x = 2, find value of:
2x + 3
Solution:
🔹
2(2) + 3 = 7 ✔
👉
7. Word Problem
A number + 5 = 12
Find the number
Solution:
x + 5 = 12
🔹
x=7✔
8. Practice Questions
Simplify: 3x + 2x
Find value if x = 3 → 2x + 4
✅
Solve: x + 6 = 10
Answers:
5x
10
🎯
x=4
Conclusion
Algebra helps in solving unknown values easily. Practice makes it simple and clear.
🔹 1. What is Algebra?
👉 Example:
Algebra is a branch of mathematics in which letters (x, y) are used to represent numbers.
🔹 2. Variables & Constants
x + 5 = 10
Variable: unknown value (x, y)
🔹
Constant: fixed number (2, 5, 10)
👉
3. Basic Algebraic Expressions
Example:
🔹
2x + 3, 5y – 7
👉
4. Important Formulas
👉
(a + b)² = a² + 2ab + b²
👉
(a – b)² = a² – 2ab + b²
🔹
a² – b² = (a + b)(a – b)
👉
5. Solving Simple Expressions
Example:
👉
2x + 3x = 5x
Example:
🔹
5x – 2x = 3x
👉
6. Substitution Method
If x = 2, find value of:
2x + 3
Solution:
🔹
2(2) + 3 = 7 ✔
👉
7. Word Problem
A number + 5 = 12
Find the number
Solution:
x + 5 = 12
🔹
x=7✔
8. Practice Questions
Simplify: 3x + 2x
Find value if x = 3 → 2x + 4
✅
Solve: x + 6 = 10
Answers:
5x
10
🎯
x=4
Conclusion
Algebra helps in solving unknown values easily. Practice makes it simple and clear.
