SAT Math Formulas to Memorize

I. Algebraic Formulas

• Quadratic formula: $x = (-b ± rt(b^2 - 4ac)) / 2a$

• Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)

• Slope-intercept form: y = mx + b

• Point-slope form: y - y1 = m(x - x1)

• Pythagorean theorem: a^2 + b^2 = c^2

II. Geometric Formulas

• Area of a rectangle: A = length × width

• Area of a triangle: A = 1/2 × base × height

• Area of a circle: A = πr^2

• Circumference of a circle: C = 2πr

• Volume of a rectangular prism: V = length × width × height

III. Trigonometric Formulas

• Sine formula: sinθ = opposite/hypotenuse

• Cosine formula: cosθ = adjacent/hypotenuse

• Tangent formula: tanθ = opposite/adjacent

• Pythagorean identities: sin^2θ + cos^2θ = 1, 1 + tan^2θ = sec^2θ, 1 + cot^2θ = csc^2θ

IV. Probability Formulas

• Probability of an event: P(E) = number of favorable outcomes / total number of outcomes

• Probability of independent events: P(A and B) = P(A) × P(B)

• Probability of mutually exclusive events: P(A or B) = P(A) + P(B)

V. Statistics Formulas

• Mean: average of a set of numbers

• Median: middle value in a set of numbers

• Mode: most frequently occurring value in a set of numbers

• Range: difference between the largest and smallest values in a set of numbers

VI. Exponential and Logarithmic Formulas

• Exponential growth formula: A = P(1 + r/n)^(nt)

• Exponential decay formula: A = P(1 - r/n)^(nt)

• Logarithmic properties: log(ab) = log(a) + log(b), log