Math Lesson 4:
Algebra
Algebraic Expressions
An algebraic expression consists of variables (letters representing unknowns), constants (fixed numbers), and operators.
Exercise: Identifying Constants
In the expression 4y - 7, what is the constant value?
Addition and Subtraction
You can only add or subtract like terms. Like terms must have the exact same variable and the same exponent.
Exercise: Simplifying Like Terms
Simplify: 4x + 2y - x
Multiplication and Division
When multiplying variables, we add their exponents: $x^a \cdot x^b = x^{a+b}$. When dividing, we subtract them.
Exercise: Multiplication
Simplify: 2x² · 3x (Format example: 0x^0):
Factorising
Factorising is the reverse of distribution. One common method is the Difference of Squares: $a^2 - b^2 = (a-b)(a+b)$.
Exercise: Difference of Squares
Factorise: x² - 16
AI Interaction
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