Mathematics
"Math for College Entrance! Beshy, ito ang foundation ng lahat ng entrance exams. Algebra, geometry, at problem-solving - let's conquer them all!"
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1. Algebra Fundamentals ๐
Mastering variables and equations is key!
Key Concepts:
- Linear Equations: ax + b = c โ solve for x
- Quadratic: axยฒ + bx + c = 0 โ use quadratic formula or factoring
- Inequalities: Solve like equations, flip sign when multiplying by negative
Quadratic Formula: x = (-b ยฑ โ(bยฒ-4ac)) / 2a
2. Geometry Essentials ๐
Shapes, areas, and volumes:
Formulas to Memorize:
- Rectangle Area: A = length ร width
- Triangle Area: A = ยฝ ร base ร height
- Circle Area: A = ฯrยฒ
- Circle Circumference: C = 2ฯr
- Pythagorean Theorem: aยฒ + bยฒ = cยฒ
3. Word Problems Strategy ๐ก
CUBES method:
- Circle the numbers
- Underline the question
- Box key words (total, difference, product)
- Evaluate - what operation?
- Solve and check
4. Number Sense & Shortcuts โก
Mental math tricks:
- ร11: 23 ร 11 = 253 (put sum of digits in middle: 2_3 โ 2(2+3)3)
- ร5: Divide by 2, multiply by 10 (48 ร 5 = 240)
- Square of 5-ending: 25ยฒ = 625 (2ร3=6, append 25)
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Test Your Knowledge! ๐ง
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