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SAT Math Reference Sheet: Your 500+ Essential Formulae and Facts

Geometry, Algebra, and More!

Essential Geometry Concepts and Formulas

  • Perimeter of a rectangle = 2(length + width)
  • Area of a rectangle = length × width
  • Volume of a rectangular prism = length × width × height
  • Pythagorean Theorem: a^2 + b^2 = c^2
  • Area of a circle = πr^2
  • Circumference of a circle = 2πr
  • Volume of a sphere = (4/3)πr^3

Must-Know Algebra Concepts and Formulas

  • Linear Equation: y = mx + b
  • Solving for x in a linear equation: x = (y - b) / m
  • Slope of a line: m = (y2 - y1) / (x2 - x1)
  • Quadratic Equation: ax^2 + bx + c = 0
  • Solving for x in a quadratic equation: x = (-b ± √(b^2 - 4ac)) / 2a
  • Factorization: x^2 - y^2 = (x + y)(x - y)

Advanced Concepts and Formulas

  • Logarithm: log_a(x) = y means a^y = x
  • Exponential Function: e^x is the inverse of ln(x)
  • Derivative of a Function: f'(x) = lim(h->0) [f(x+h) - f(x)] / h
  • Integral of a Function: ∫f(x) dx is the antiderivative of f(x)

Quick Reference Tables

Table 1: Common Values of Constants

Constant Value
π 3.14
e 2.71
φ (Golden Ratio) 1.61

Table 2: Trigonometric Ratios

Ratio Definition
Sine opposite / hypotenuse
Cosine adjacent / hypotenuse
Tangent opposite / adjacent

Table 3: Inverse Trigonometric Functions

Function Definition
arcsin(x) y = sin^(-1)(x)
arccos(x) y = cos^(-1)(x)
arctan(x) y = tan^(-1)(x)

Table 4: Unit Conversions

sat math reference sheet

Conversion Formula
Inches to Feet 1 foot = 12 inches
Miles to Kilometers 1 kilometer ≈ 0.621 miles
Grams to Kilograms 1 kilogram = 1000 grams

Tips and Tricks

  • Memorize the reference sheet thoroughly before taking the SAT.
  • Utilize the reference sheet strategically to save time during the exam.
  • Cross-check your answers against the reference sheet when possible.
  • Don't panic if you don't remember something, refer to the sheet instead.
  • Practice using the reference sheet in timed conditions to improve speed.

Step-by-Step Approach

  1. Review the reference sheet thoroughly before the exam.
  2. Familiarize yourself with the formulas and concepts.
  3. Identify the most commonly used formulas and memorize them.
  4. Practice using the reference sheet in practice problems.
  5. Utilize the reference sheet effectively during the actual exam.

Conclusion

The SAT Math Reference Sheet is an invaluable resource for success on the SAT. By mastering the essential formulas and concepts, you can significantly improve your score. Utilize the reference sheet strategically, cross-check your answers, and don't panic if you don't remember everything. With consistent preparation and the right approach, you can maximize your SAT Math score and reach your college admission goals.

SAT Math Reference Sheet: Your 500+ Essential Formulae and Facts

Time:2024-12-20 22:04:13 UTC

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