Mastering Algebra, Geometry, and Ratios

📋 Course Outline

1. Variables and Letters
2. Expressions and Simplification
3. Expanding Brackets
4. Solving Equations
5. Substitution Method
6. Sequences and Rules
7. Ratios and Proportions
8. Perimeter and Area
9. Fractions and Operations
10. Decimals and Place Value
11. Percentages and Conversion
12. Angles and Properties

📖 1. Variables and Letters

🔑 Key Concepts & Definitions

• Variable: A symbol, usually a letter, used to represent an unknown or changing number in an expression or equation (e.g., x, y, z).
• Expression: A mathematical phrase combining numbers, variables, and operations without an equals sign (e.g., 4x + 3).
• Equation: A statement with an equals sign showing that two expressions are equal (e.g., 2x + 6 = 14).
• Like Terms: Terms that have the same variable raised to the same power, which can be combined (e.g., 3x and 5x).
• Simplify: To combine like terms or reduce an expression to its simplest form.
• Substitution: Replacing a variable with a specific number to evaluate an expression or solve an equation (e.g., if x=3, then 5x+2=17).

📝 Essential Points