SAT Math - formulas pt 1

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x = (-b ± √(b² - 4ac) / (2a)

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1

x = (-b ± √(b² - 4ac) / (2a)

quadratic equation

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2

A = πr²

circle area

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3

C = 2πr

circle circumference

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4

y = a(x - h)^2 + k

vertex form

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5

short leg: x

second leg: x√3

hypotenuse: 2x

30-60-90 triangle

<p>30-60-90 triangle</p>
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6

you flip the sign >< when

you divide by negative # in inequality: -3x/-3 < 6/-3

x>-2

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7

(x - h)^2 + (y - k)^2 = r^2

circle equation

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8
<p>short leg: x</p><p>second leg:x</p><p>hupotenuse: x√2</p>

short leg: x

second leg:x

hupotenuse: x√2

45-45-90

<p>45-45-90</p>
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9

(y2 - y1) / (x2 - x1)

slope formula

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10

θ/360 * π * d

arc length

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11

(a+b)^2

(a+b)(a+b)

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12

3 equal sides

all angles = 60

equilaterial

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13

midpoint formula

(x₁ + x₂)/2, (y₁ + y₂)/2

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14

pythagorean theorem

a^2+b^2=c^2

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15

area of rectangle

A = LW

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16

area of triangle

A = 1/2(B)(H)

<p>A = 1/2(B)(H)</p>
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17

volume of rectangle solid

V=LWH

<p>V=LWH</p>
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18

volume of cylinder

V= πr^2(H)

<p>V= πr^2(H)</p>
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19

volume of sphere

V=(4/3)πr^3

<p>V=(4/3)πr^3</p>
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20

volume of cone

V=(1/3)πr^2

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21

volume of pyramid

V=(1/3)LWH

<p>V=(1/3)LWH</p>
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22

degrees in circle

360

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23

radians in a circle

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24

degrees in triangle

180

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25

√((x₂ - x₁)² + (y₂ - y₁)²)

distance formula

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26

A = (θ/360) * π * r²

arc sector

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27

Sum of all values / Number of values

average/mean

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28

S=D/T

average speed

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29

(Number of favorable outcomes) / (Total number of possible outcomes)

probablities

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30
  • Find x percent of a given number n.

n(x/100)

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31
  • Find out what percent a number n is of another number m.

(n100)/m

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32
  • Find out what number n is x percent of.

(n100)/x

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