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Chapter 9: Introduction to Algebra > What We Have Discussed

What We Have Discussed

1. When creating repeated patterns using matchsticks, we can establish a general relationship between the number of matchsticks and the number of identical shapes. Since repetition introduces an unknown quantity, we use a as a symbol to represent it.

2. A variable represents a quantity that can change; its value is .

3. Any letter such as a, b, m, n, p, q, x, y, z can be used to denote a .

4. Variables help in expressing relationships between different quantities in real-life situations.

5. Although variables are symbols, they function like numbers, meaning we can perform mathematical operations on them just as we do with values.

6. Expressions can be formed using variables and mathematical operations. Some examples include 2m, 3s + 1, 8p, x/3.

7. Variables allow us to define common mathematical rules in geometry and arithmetic in a structured way.

8. An equation establishes a condition on a variable, restricting its values.

9. An equation consists of two sides: the Left-Hand Side (LHS) and Right-Hand Side (RHS), separated by an equality sign.

10. The LHS and RHS of an equation are only for certain values of the variable.

11. One of the methods used to find the value of a variable in an equation is the Trial and Error method.