Position：home

SAT Math Formula Sheet: Essential Formulas for 1600 Success

Algebra

Product rule: a^m × a^n = a^(m+n)
Quotient rule: a^m / a^n = a^(m-n)
Power rule: (a^m)^n = a^(mn)
Logarithm definition: logₐ(b) = x if a^x = b
Logarithm properties:
- logₐ(bc) = logₐ(b) + logₐ(c)
- logₐ(b/c) = logₐ(b) - logₐ(c)
- logₐ(a) = 1

Remainder theorem: f(a) = 0 if and only if (x - a) is a factor of f(x)
Factor theorem: p(x) = (x - a)(x - b)(x - c) ... if p(a) = p(b) = p(c) = ... = 0

Sum of interior angles of a triangle: 180 degrees
Exterior angle of a triangle: equal to the sum of the opposite interior angles
Pythagorean theorem: a² + b² = c²
Similar triangles: corresponding angles and sides are proportional

Probability of an event: P(event) = number of favorable outcomes / total number of outcomes
Conditional probability: P(A|B) = P(A and B) / P(B)
Complement of an event: P(not A) = 1 - P(A)

Learn the formulas thoroughly: Memorize all the essential formulas and understand their applications.
Practice with questions: Solve as many practice questions as possible to reinforce your understanding.
Time yourself: Set time limits for each question type to improve your pacing.
Review your mistakes: Analyze your wrong answers to identify areas for improvement.
Get a tutor or join a study group: Seek support from others if needed.

The SAT Math section is a crucial component of your overall SAT score, which is used by colleges for admissions decisions. A high SAT Math score can:

Increase your chances of getting into top colleges: Many prestigious universities require high SAT Math scores for admission.
Earn scholarship money: Scholarships are often awarded based on SAT Math scores.
Build critical thinking skills: SAT Math questions test your problem-solving and analytical abilities.
Prepare you for college-level coursework: The SAT Math section prepares you for the mathematical rigor of college-level courses.

Saves time: Quickly access formulas without the need to recall them from memory.
Eliminates errors: Prevents mistakes from misremembering formulas.
Boosts confidence: Provides a sense of security, especially during challenging questions.
Improves accuracy: Ensures that you use the correct formulas for every problem.

Q: What is the most important formula to know for the SAT Math section?
A: The Pythagorean theorem (a² + b² = c²) is essential for geometry questions.
Q: How do I remember all these formulas?
A: Use flashcards, practice questions, and create visual aids to help you memorize the formulas.
Q: Can I bring a formula sheet to the SAT?
A: No, you are not allowed to bring any external materials, including formula sheets, to the SAT.
Q: What is the best way to use a formula sheet during the SAT?
A: Keep the formula sheet handy and refer to it only when necessary. Focus on understanding the problem first before applying the formulas.
Q: How much time should I spend on each SAT Math question?
A: Aim to spend around 1-2 minutes on each question. If you spend more than 2 minutes on a question, move on and come back to it later if time permits.
Q: Is it okay to guess on SAT Math questions?
A: Yes, it is okay to guess on difficult questions. However, make sure you eliminate any obviously wrong answer choices before guessing.
Q: What is a good SAT Math score?
A: A good SAT Math score is typically considered to be in the range of 700-800. However, the specific target score depends on your individual college goals.
Q: How can I improve my SAT Math score?
A: Study consistently, practice with realistic questions, identify and address areas of weakness, and seek help from others when needed.

Algebra

Formula	Description
y = mx + b	Slope-intercept form of a linear equation
y - y1 = m(x - x1)	Point-slope form of a linear equation
Ax + By = C	Standard form of a linear equation
x = (-b ± √(b² - 4ac)) / 2a	Quadratic formula
a^m × a^n = a^(m+n)	Product rule of exponents
a^m / a^n = a^(m-n)	Quotient rule of exponents
(a^m)^n = a^(mn)	Power rule of exponents
logₐ(b) = x if a^x = b	Logarithm definition
logₐ(bc) = logₐ(b) + logₐ(c)	Product rule of logarithms
logₐ(b/c) = logₐ(b) - logₐ(c)	Quotient rule of logarithms
logₐ(a) = 1	Logarithm of the base
f(a) = 0 if and only if (x - a) is a factor of f(x)	Remainder theorem
p(x) = (x - a)(x - b)(x - c) ... if p(a) = p(b) = p(c) = ... = 0	Factor theorem

Geometry

Formula	Description
A = lw	Area of a rectangle
A = 1/2 bh	Area of a triangle
A = πr²	Area of a circle
V = (4/3)πr³	Volume of a sphere
V = πr²h	Volume of a cylinder
Sum of interior angles of a triangle = 180 degrees
Exterior angle of a triangle = sum of the opposite interior angles
a² + b² = c²	Pythagorean theorem
Corresponding angles are proportional in similar triangles
d = √((x2 - x1)² + (y2 - y1)²)	Distance formula
((x1 + x2) / 2, (y1 + y2) / 2)	Midpoint formula
m = (y2 - y1) / (x2 - x1)	Slope formula

Probability and Statistics

Formula	Description
P(event) = number of favorable outcomes / total number of outcomes	Probability of an event
P(A	B) = P(A and B) / P(B)
P(not A) = 1 - P(A)	Complement of an event
Mean = sum of values / number of values	Average value of a data set
Median = middle value of a data set
Mode = most occurring value in a data set
Standard deviation =