Sat cheat sheet
▪︎Core formula
ALG E BRA
🟦
r E q u a tion: 🟩 GEO
M E TR
Linea + b Y
= m x
y
y - i n t e r cept)
= s l o p e, b =
(m e F o r m u la: Triang
S l op x₁) le A r e
/ ( x ₂ − A = ½ × bas a:
= ( y ₂ − y ₁) : e × h ei
m
t i c F o r m u la Pytha
g ght
a d r a 2 a or e a
Q u
x = [ -b ±
√ ( b ² −
nt Ru
4ac)]
l e s :
/
a² + b ²
n Th e o
= c²
r em :
E x p on e Circle
a ⁿ = a ᵐ ⁺ⁿ :
aᵐ × ⁿ A rea = π
ᵐ ) ⁿ = a ᵐ C i r²
(a r cum f
a ⁿ e r en ce
a ⁻ⁿ = 1 / = 2π
r
🟨 CO O R
D IN A T E
GEOMET
RY
🟥 RATIOS
D is ta n c e &
d = [ (x ₂ √
Form u la
− x ₁) ² + ( y :
₂ − y ₁)² ]
PERCENTAGES
M id p o in t
Form u la
( ( x ₁ + x ₂) / :
2 , (y ₁ + y
₂) /2 ) Percentage:
% = (part / whole) × 100
Increase/Decrease:
New Value =
Original × (1 ± %)
▪︎Core formula
ALG E BRA
🟦
r E q u a tion: 🟩 GEO
M E TR
Linea + b Y
= m x
y
y - i n t e r cept)
= s l o p e, b =
(m e F o r m u la: Triang
S l op x₁) le A r e
/ ( x ₂ − A = ½ × bas a:
= ( y ₂ − y ₁) : e × h ei
m
t i c F o r m u la Pytha
g ght
a d r a 2 a or e a
Q u
x = [ -b ±
√ ( b ² −
nt Ru
4ac)]
l e s :
/
a² + b ²
n Th e o
= c²
r em :
E x p on e Circle
a ⁿ = a ᵐ ⁺ⁿ :
aᵐ × ⁿ A rea = π
ᵐ ) ⁿ = a ᵐ C i r²
(a r cum f
a ⁿ e r en ce
a ⁻ⁿ = 1 / = 2π
r
🟨 CO O R
D IN A T E
GEOMET
RY
🟥 RATIOS
D is ta n c e &
d = [ (x ₂ √
Form u la
− x ₁) ² + ( y :
₂ − y ₁)² ]
PERCENTAGES
M id p o in t
Form u la
( ( x ₁ + x ₂) / :
2 , (y ₁ + y
₂) /2 ) Percentage:
% = (part / whole) × 100
Increase/Decrease:
New Value =
Original × (1 ± %)
