Math equations Flashcards by spencer spader

Q

Percent formula

A

(Part / Whole) × 100

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Q

Percent change formula

A

((New – Old) / Old) × 100

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Q

Average (mean)

A

(Sum of terms) / (Number of terms)

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Q

Rate formula

A

Distance / Time or Work / Time

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Q

Ratio formula

A

a : b = a / b

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Q

Combined work formula

A

1/T = 1/A + 1/B

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Q

Distributive property

A

a(b + c) = ab + ac

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Q

Difference of squares

A

a² – b² = (a – b)(a + b)

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Q

Quadratic formula

A

x = (-b ± √(b² - 4ac)) / 2a

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Q

Slope of a line

A

(y₂ – y₁) / (x₂ – x₁)

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Q

Slope-intercept form

A

y = mx + b

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Q

Point-slope form

A

y – y₁ = m(x – x₁)

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Q

Sum of triangle angles

A

180°

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Q

Pythagorean theorem

A

a² + b² = c²

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Q

Area of a triangle

A

½ × base × height

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Q

30°-60°-90° triangle sides

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A

x : x√3 : 2x

Q

45°-45°-90° triangle sides

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A

x : x : x√2

Q

Circumference of a circle

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A

2πr

Q

Area of a circle

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A

πr²

Q

Arc length (degrees)

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A

(θ / 360) × 2πr

Q

Sector area (degrees)

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A

(θ / 360) × πr²

Q

Rectangle area

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A

length × width

Q

Rectangle perimeter

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A

2(length + width)

Q

Rectangle diagonal

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A

√(l² + w²)

Volume of rectangular solid

length × width × height

Volume of cylinder

πr²h

Surface area of cylinder

2πr² + 2πrh

Range

Max – Min

Standard deviation

Average distance from the mean (conceptual)

Probability

P(E) = Favorable Outcomes / Total Outcomes

Permutations (nPr)

n! / (n – r)!

Combinations (nCr)

n! / [r!(n – r)!]

Venn diagram formula (two sets)

A ∪ B = A + B – (A ∩ B)