# ACT Exam math equations

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area of rect

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## Description and Tags

good to know math equations for the ACT, not sure if you need all of them, but good to know since I saw some on the free prep practice

### 23 Terms

1

area of rect

length x width

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2

triangle area

1/2bh

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3

circle area

(pi)rÂ˛

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4

circumference

2(pi)r

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5

cylinder volume

(pi)rÂ˛h

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6

cone volume

1/3(pi)rÂ˛h

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7

sphere volume

4/3(pi)rÂł

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8

area of parallelogram

height x basep

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9

pythagorean theorem

aÂ˛ + bÂ˛ = cÂ˛

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10

slope formula

(y2-y1) / (x2-1)

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11

distance formula

sqrt( [(x2-x1)Â˛ + (y2-y1)Â˛] )

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12

midpoint formula

((x1+x2)/2, (y1+y2)/2)

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13

diff types of slope equations

point slope, standard, slope intercept

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14

point slope form

y-y1 = m(x-x1)

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15

logarithms

( loga(b) = x) is the same as ( a^x = b )

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16

standard deviation

sqrt( sum(xi - u)Â˛/N )

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17

sample standard deviation

sqrt( sum(xi - xĚ)Â˛/(n-1) )

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18

SOH-CAH-TOA

sin = opp/hyp, cos = adj/hyp, tan = opp/adj

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19

pythagorean identities

cosÂ˛Ă¸ + sinÂ˛Ă¸ = 1

1 + tanÂ˛Ă¸ = secÂ˛Ă¸

1 + cotÂ˛Ă¸ = cscÂ˛Ă¸

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20

circle equation

(x-h)Â˛ + (y-k)Â˛ = rÂ˛

center = (h,k)

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21

parabola vertex form equation

y = a(x-h)Â˛ + k

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22

ellipse equation

((x-h)Â˛/aÂ˛) + ((y-k)Â˛/bÂ˛) = 1, or switch a and b around depending on direction of ellipse, a first when ellipse is wider on sides

b = distance from center to co-vertex

Foci = (hÂąc, k)

cÂ˛ = aÂ˛ - bÂ˛

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23

hyperbola equation

((x-h)Â˛/aÂ˛) - ((y-k)Â˛/bÂ˛) = 1

a = distance from center to vertex

c = distance from center to foci

bÂ˛ = cÂ˛ - aÂ˛

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