Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities. These letters are called variables, and they help us generalise patterns and relationships.
Examples:
- x + 3 means a number plus 3.
- 5y means five times a number.
Basic Terms in Algebra
Constant: A fixed number (e.g. 2, 7, 10).
Variable: A letter representing an unknown number (e.g. x, y).
Coefficient: The number multiplied by a variable (e.g. in 4x, coefficient = 4).
Term: A part of an expression separated by + or – (e.g. 3x, 5, -2y).
Expression: A combination of terms (e.g. 3x + 2y – 7).
Examples Table
|
Expression |
Constant |
Variable(s) |
Coefficient(s) |
|
5x + 3 |
3 |
x |
5 |
|
2a + 4b – 9 |
-9 |
a, b |
2, 4 |
|
7y |
— |
y |
7 |
Importance of Algebra
- It helps describe real-life situations mathematically.
- It makes problem-solving systematic.
- It prepares students for higher mathematics and logical reasoning.