ALGEBRA
Cut here and keep for reference
GEOMETRY
Geometric Formulas a b a b c d c d a b ad bd d c ad bc bc Formulas for area A, circumference C, and volume V: Triangle A
1 2 1 2
Arithmetic Operations ab a b c c a b ab c b ac
Circle A C r2 2 r
Sector of Circle A s
1 2
bh ab sin
r2 in radians
r
Exponents and Radicals x mx n x m n
a
h r b ¨
r
s
xm x mn n
x xn x
m
¨
xm 1 xn n n
r
n
xy x1 n
n
x nyn n sx
x y xm n n xn yn n sx m
Sphere V 4 r3 3
Cylinder V r 2h
Cone V 1 r 2h 3 A rsr 2 h2
(sx ) m n A
4 r2 r r
n sxy
n n sx sy
x y
n sx n sy
Factoring Special Polynomials x2 x3 x3 y2 y3 y3 x x x y x y x2 y x2 y xy xy y2 y2
h r
h
Distance and Midpoint Formulas Binomial Theorem x x x x y y y y
2 3 3
Distance between P1 x1, y1 and P2 x 2, y2 : y2 3xy 2 3xy 2 nn 2 n n k k x y k y3 y3 1 x n 2y2 nxy n 1 k
1
x2 x3 x3 xn
2xy 3x 2 y 3x 2 y nx n 1y
x
y
2
x2
2xy
y2 d s x2 x1
2
y2
y1
2
n
Midpoint of P1 P2 :
x1 2
x 2 y1 ,
y2 2
yn
Lines
Slope of line through P1 x1, y1 and P2 x 2, y2 : m y2 x2 y1 x1
n where k
nn
1 n 1 2 3
k
Quadratic Formula
If ax 2 bx c 0, then x b sb 2 2a 4ac .
Point-slope equation of line through P1 x1, y1 with slope m: y y1 mx x1
Inequalities and Absolute Value
If a If a If a If a If a b and b b, then a b and c b and c 0, then x x x a means a means a means x x a a or x a or a x a x a c, then a c b c. c. cb. cb.
Slope-intercept equation of line with slope m and y-intercept b: y mx b
0, then ca 0, then ca
Circles
Equation of the circle with center h, k and radius r: x h
2
y
k
2
r2
R E F E R E N C E PA G E 2
TRIGONOMETRY
Angle Measurement radians 1 s r in radians cot 1 hyp ¨ adj
Fundamental Identities r ¨ r s
180 rad 1 rad 180
csc tan
1 sin sin cos 1 tan tan 2 sec 2 sin tan
sec