Mathematics
"Math for College Entrance! Beshy, ito ang foundation ng lahat ng entrance exams. Algebra, geometry, at problem-solving - let's conquer them all!"
1. Algebra Fundamentals 📐
Mastering variables and equations is key!
Key Concepts:
- Linear Equations: ax + b = c → solve for x
- Quadratic: ax² + bx + c = 0 → use quadratic formula or factoring
- Inequalities: Solve like equations, flip sign when multiplying by negative
Quadratic Formula: x = (-b ± √(b²-4ac)) / 2a
2. Geometry Essentials 📏
Shapes, areas, and volumes:
Formulas to Memorize:
- Rectangle Area: A = length × width
- Triangle Area: A = ½ × base × height
- Circle Area: A = πr²
- Circle Circumference: C = 2πr
- Pythagorean Theorem: a² + b² = c²
3. Word Problems Strategy 💡
CUBES method:
- Circle the numbers
- Underline the question
- Box key words (total, difference, product)
- Evaluate - what operation?
- Solve and check
4. Number Sense & Shortcuts ⚡
Mental math tricks:
- ×11: 23 × 11 = 253 (put sum of digits in middle: 2_3 → 2(2+3)3)
- ×5: Divide by 2, multiply by 10 (48 × 5 = 240)
- Square of 5-ending: 25² = 625 (2×3=6, append 25)
Test Your Knowledge! 🧠
Ready ka na ba? Take the practice quiz for Mathematics to reinforce what you just learned.
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