Category: Arithmetic

1. Elementary Algebra

This is the foundation most people start with.

Core ideas:

Variables (like )

Constants and coefficients

Expressions (e.g., )

Equations (e.g., )

Key topics:

Solving linear equations

Inequalities

Simplifying expressions

Word problems

2. Polynomials & Factoring

Polynomial forms:

Operations: addition, subtraction, multiplication

Factoring techniques:

Common factor

Difference of squares

Quadratic factoring

3. Quadratic Equations

Equations like:

Methods to solve:

Factoring

Completing the square

Quadratic formula:

Algebra is a branch of Mathematics that uses symbols (like x, y) to represent unknown values and relationships.

Here are the key specifics:

Variables & Constants: Letters (x, y) represent unknowns; numbers are fixed values.

Expressions: Combinations like 3x + 5 (no equals sign).

Equations: Statements like 2x + 3 = 7 that can be solved.

Operations: Addition, subtraction, multiplication, division applied to variables.

Functions: Rules that relate inputs to outputs (e.g., f(x) = x).

Polynomials: Expressions with multiple terms (e.g., x + 2x + 1).

Factoring & Expansion: Breaking or building expressions.

Graphs: Visual representation of equations on coordinate planes.

Inequalities: Expressions showing greater/less than (>, <).

When we divide 100 by 3 we get 33.33333… ( 100 / 3 = 33.33333… ) and when we multiply 33.33333… with 3 we get 99.99999… (33.333… 3 = 99.999…) Where does the 0.111… disappear?