Pre calculus math tutor

Pre-Calculus Formulas Every BC Student Must Know (Free Study Sheet)

Pre-Calculus is one of the most important subjects for students aiming for university programs in engineering, sciences, business, and computer science. Unfortunately, it’s also one of the most challenging. The good news? With the right formula sheet and conceptual shortcuts, Pre-Calc becomes far more manageable.

📘 Download the FREE Pre-Calculus Formula Sheet → Download
Includes:
✔ Factoring rules
✔ Quadratic formula
✔ Trig identities
✔ Function transformations
✔ Graphing rules
✔ Common mistakes


1. Quadratic Formula: The Foundation

x = (–b ± √(b² – 4ac)) / 2a

Tip: Under exam pressure, write it before solving anything.


2. Factoring Shortcuts Every Student Should Know

✔ Take out common factor first
✔ For trinomials:
Multiply a × c → find factors that add to b


3. Trigonometry Essentials

SOH–CAH–TOA
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent

External link for reinforcement:
https://www.khanacademy.org/math/trigonometry


4. Function Transformations (Most Asked on Tests)

If f(x) → a f(x – h) + k
a = vertical stretch
h = horizontal shift
k = vertical shift

Tip: Positive “h” means shift right — a common misconception.


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✔ Top Math concepts
https://drshreyankeducare.com/top-math-concepts-bc-students-struggle-with-how-to-fix-them/
✔ Understand calculus quotient rule
https://drshreyankeducare.com/understanding-the-calculus-quotient-rule-step-by-step-guide/


6. CTA — Master Pre-Calculus with Confidence

If Pre-Calculus feels overwhelming, you’re not alone.
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