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SAT Math Formula Sheet

The Ultimate Guide to Ace the SAT Math Section

Unlock Your Potential with Our Comprehensive Formula Sheet

As you embark on your SAT preparation journey, it's imperative to equip yourself with the essential tools to conquer the Math section. This comprehensive formula sheet has been meticulously crafted to provide you with a concise and organized reference that will empower you to navigate the complex world of SAT mathematics.

sat math formula sheet

Essential Formulas for Success

Arithmetic

Perimeter of a rectangle: 2(length + width)
Area of a rectangle: length × width
Volume of a cube: side³
Volume of a sphere: (4/3)πr³
Distance formula: d = √[(x2 - x1)² + (y2 - y1)²]

Algebra

Slope of a line: (y2 - y1) / (x2 - x1)
Equation of a line in slope-intercept form: y = mx + b
Quadratic formula: (-b ± √(b² - 4ac)) / 2a
Pythagorean theorem: a² + b² = c²
Binomial theorem: (a + b)^n = Σ(k=0 to n) (n choose k) * a^(n-k) * b^k

Geometry

Circumference of a circle: 2πr
Area of a circle: πr²
Volume of a cone: (1/3)πr²h
Volume of a cylinder: πr²h
Angle sum of a triangle: 180°

Trigonometry

Sine of an angle: sin(θ) = opposite / hypotenuse
Cosine of an angle: cos(θ) = adjacent / hypotenuse
Tangent of an angle: tan(θ) = opposite / adjacent
Law of sines: a / sin(A) = b / sin(B) = c / sin(C)
Law of cosines: c² = a² + b² - 2ab cos(C)

Tables for Quick Reference

Shape	Formula
Circle	Circumference: 2πr
Rectangle	Area: length × width
Triangle	Area: (base × height) / 2
Sphere	Volume: (4/3)πr³

Arithmetic	Formula
Sum of n terms	S = n(n + 1) / 2
Product of n terms	P = n!
Mean of n numbers	M = (x1 + x2 + ... + xn) / n
Median of n numbers	Mdn = (x + y) / 2, where x and y are the middle values when the numbers are arranged in ascending order

Algebra	Formula
Zero product property	If ab = 0, then a = 0 or b = 0
Remainder theorem	When f(x) is divided by (x - a), the remainder is f(a)
Complex numbers	i² = -1

Geometry	Formula
Surface area of a cube	6s²
Surface area of a sphere	4πr²
Volume of a pyramid	(1/3)Bh
Volume of a cone	(1/3)πr²h

Pain Points and Motivations

Pain Points:

Fear of failing the SAT Math section
Lack of confidence in math skills
Overwhelmed by the complexity of SAT math concepts

Motivations:

SAT Math Formula Sheet

Achieve a high score on the SAT
Get into the college of your choice
Secure financial aid or scholarships
Improve math proficiency for future academic and career success

Effective Strategies

Practice regularly: Dedicate time each day to solving SAT math problems.
Understand concepts: Don't just memorize formulas; strive to comprehend the underlying concepts.
Utilize online resources: Explore websites and apps that provide practice tests, tutorials, and feedback.
Seek extra help: If you struggle with specific concepts, consider hiring a tutor or joining a study group.
Manage time effectively: Develop strategies to allocate your time wisely during the exam.