Mastering Basic Algebra

A self-paced, interactive journey to understand the fundamental concepts of algebraic thinking.

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Introduction Icon 1. What is Algebra?

Algebra is a branch of mathematics that substitutes letters for numbers. It is a fundamental tool for solving complex problems where one or more quantities are unknown.

Key Concept:

Algebra helps us generalize arithmetic operations and solve for unknowns using symbols (like x, y, or z).

Example of Arithmetic vs. Algebra:

Arithmetic

2 + ? = 5

The unknown is represented by a symbol or box.

Algebra

2 + x = 5

The unknown is represented by a variable (x).

Variables Icon 2. Variables and Expressions

A variable is a symbol (usually a letter) that represents an unknown or changing value. An algebraic expression combines variables, numbers, and operations.

x

Variable

3

Constant

3x + 5

Expression

Interactive Exercise: Evaluating Expressions

If x = 4, what is the value of the expression 3x - 5?

Equations Icon 3. Solving Simple Equations

An equation is a statement that two expressions are equal, indicated by the equals sign (=). The goal is usually to find the value of the variable that makes the equation true.

Golden Rule of Equations:

Whatever you do to one side of the equation, you must do to the other side to maintain balance.

Example: Solving for x (Addition Property)

Equation: x - 3 = 7

Goal: Isolate x.

Step 1: Add 3 to both sides (Inverse operation of subtraction):

x - 3 + 3 = 7 + 3

Solution: x = 10

Quiz Icon 4. Quiz Time: Test Your Knowledge

Complete the quiz below to check your understanding of Basic Algebra fundamentals.

1. In the expression 5x + 10, what is 'x' called?

2. If y = 6, what is the value of 2y + 1?

3. Solve the equation: a + 4 = 15