Test PrepSATMath

SAT Math Formulas— MintDeck

195 cards covering all SAT Math formula domains: Algebra, Geometry, Trigonometry, Statistics & Probability, and Advanced Topics. Each card presents the formula name on the front and the formula itself with a step-by-step example on the back — aligned with College Board test content.

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Topics covered

Algebra

Linear equations, quadratics, exponents, systems of equations & more

40 cards

Geometry

Shapes, volumes, angles, triangles, circles & more

40 cards

Trigonometry

SOH-CAH-TOA, unit circle, identities, Law of Sines & Cosines

25 cards

Statistics & Probability

Mean, median, probability, distributions, sampling & more

45 cards

Advanced Topics

Complex numbers, logarithms, sequences, graph transformations & more

45 cards

Card format

Front

Formula name or concept

e.g. Quadratic Formula

Back

Formula + explanation + worked example

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Showing 20 of 195

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#1Front

Quadratic Formula

test-prepsatmathalgebra

#1Back

x = [-b ± √(b² - 4ac)] / 2a Use to find solutions to ax² + bx + c = 0. Example: Solve 2x² - 4x - 6 = 0 using the quadratic formula.

#2Front

Slope Formula

test-prepsatmathalgebra

#2Back

m = (y₂ - y₁) / (x₂ - x₁) The slope of a line through points (x₁, y₁) and (x₂, y₂). Example: The slope through (1,2) and (3,6) is (6-2)/(3-1) = 2.

#3Front

Slope-Intercept Form

test-prepsatmathalgebra

#3Back

y = mx + b m = slope, b = y-intercept. Example: y = 2x + 3 has slope 2 and y-intercept 3.

#4Front

Point-Slope Form

test-prepsatmathalgebra

#4Back

y - y₁ = m(x - x₁) Equation of a line with slope m through point (x₁, y₁). Example: The line through (1,2) with slope 3 is y - 2 = 3(x - 1).

#5Front

Standard Form of a Line

test-prepsatmathalgebra

#5Back

Ax + By = C Slope = -A/B, y-intercept = C/B. Example: 2x + 3y = 6 has slope -2/3 and y-intercept 2.

#6Front

FOIL Method

test-prepsatmathalgebra

#6Back

(a + b)(c + d) = ac + ad + bc + bd Multiply first, outer, inner, last terms. Example: (x + 2)(x + 3) = x² + 3x + 2x + 6 = x² + 5x + 6.

#7Front

Difference of Squares

test-prepsatmathalgebra

#7Back

a² - b² = (a + b)(a - b) Example: x² - 9 = (x + 3)(x - 3).

#8Front

Perfect Square Trinomial (Sum)

test-prepsatmathalgebra

#8Back

a² + 2ab + b² = (a + b)² Example: x² + 6x + 9 = (x + 3)².

#9Front

Perfect Square Trinomial (Difference)

test-prepsatmathalgebra

#9Back

a² - 2ab + b² = (a - b)² Example: x² - 6x + 9 = (x - 3)².

#10Front

Sum of Cubes

test-prepsatmathalgebra

#10Back

a³ + b³ = (a + b)(a² - ab + b²) Example: x³ + 8 = (x + 2)(x² - 2x + 4).

#11Front

Difference of Cubes

test-prepsatmathalgebra

#11Back

a³ - b³ = (a - b)(a² + ab + b²) Example: x³ - 27 = (x - 3)(x² + 3x + 9).

#12Front

Zero Product Property

test-prepsatmathalgebra

#12Back

If a·b = 0, then a = 0 or b = 0 (or both). Example: If (x - 2)(x + 3) = 0, then x = 2 or x = -3.

#13Front

Distance Formula

test-prepsatmathalgebra

#13Back

d = √[(x₂ - x₁)² + (y₂ - y₁)²] Distance between points (x₁, y₁) and (x₂, y₂). Example: Distance between (1,2) and (4,6) is √(9 + 16) = 5.

#14Front

Midpoint Formula

test-prepsatmathalgebra

#14Back

M = ((x₁ + x₂)/2, (y₁ + y₂)/2) Example: Midpoint of (1,2) and (5,8) is (3,5).

#15Front

Average (Arithmetic Mean)

test-prepsatmathalgebra

#15Back

Average = sum of terms / number of terms Example: Average of 2, 4, 6 is (2+4+6)/3 = 4.

#16Front

Weighted Average

test-prepsatmathalgebra

#16Back

Weighted Avg = Σ(wᵢ × xᵢ) / Σwᵢ Example: If a test worth 60% scores 80 and final worth 40% scores 90: (0.6×80 + 0.4×90)/1 = 84.

#17Front

Rate Formula

test-prepsatmathalgebra

#17Back

d = r × t Distance = rate × time. Example: A car traveling at 60 mph for 3 hours covers 180 miles.

#18Front

Work Formula

test-prepsatmathalgebra

#18Back

Work = Rate × Time Combined rate = sum of individual rates. Example: If A paints a room in 4 hr and B in 6 hr, combined rate = 1/4 + 1/6 = 5/12 rooms per hour.

#19Front

Percent Change

test-prepsatmathalgebra

#19Back

Percent Change = (new - original) / original × 100% Example: A price increase from

50 t o

60 is (10/50)×100% = 20% increase.

#20Front

Percent of a Number

test-prepsatmathalgebra

#20Back

Part = (Percent / 100) × Whole Example: 20% of 80 = (20/100) × 80 = 16.

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Who is this deck for?

· High school students preparing for the SAT
· Anyone who needs a concise reference of essential SAT math formulas
· Students supplementing SAT prep courses or official College Board materials

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This deck is provided for educational purposes. Formulas are aligned with the College Board SAT Math Test specifications. Always consult official SAT practice materials for the most current test content.