195 cards · .apkg and CSV

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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1Front

Quadratic Formula

test-prep · sat · math · algebra

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-prep · sat · math · algebra

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-prep · sat · math · algebra

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-prep · sat · math · algebra

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-prep · sat · math · algebra

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-prep · sat · math · algebra

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-prep · sat · math · algebra

7Back

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

8Front

Perfect Square Trinomial (Sum)

test-prep · sat · math · algebra

8Back

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

9Front

Perfect Square Trinomial (Difference)

test-prep · sat · math · algebra

9Back

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

10Front

Sum of Cubes

test-prep · sat · math · algebra

10Back

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

11Front

Difference of Cubes

test-prep · sat · math · algebra

11Back

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

12Front

Zero Product Property

test-prep · sat · math · algebra

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-prep · sat · math · algebra

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-prep · sat · math · algebra

14Back

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

15Front

Average (Arithmetic Mean)

test-prep · sat · math · algebra

15Back

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

16Front

Weighted Average

test-prep · sat · math · algebra

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-prep · sat · math · algebra

17Back

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

18Front

Work Formula

test-prep · sat · math · algebra

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-prep · sat · math · algebra

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-prep · sat · math · algebra

20Back

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

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Topics covered

5 topics

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 concepte.g. Quadratic Formula
Back: Formula + explanation + worked example

Who it’s 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.