Algebra II - Formula Sheet
General Formulas
Slope of a Line
m = y − yx − x
2
1
2
1
Quadratic Formula
x = −b ± √ b − 4ac 2a
2
Factoring
Difference of Squares
a − b = (a − b)(a + b)
2
2
Difference of Cubes
a − b = (a − b)(a + ab + b )
3
3
2
2
Sum of Cubes
a + b = (a + b)(a − ab + b )
3
3
2
2
Logarithms
Product
log (xy) = log x + log y
b
b
b
Quotient
log (xy) = log x + log y
b
b
b
Power
log (x ) = r log x
b
r
b
Conic Sections
General Form
Ax + Bxy + Cy + Dx + Ey + F = 0
2
Circle
2
(x − h) + (y − k) = r
2
2
2
Parabola
(x − h) = 4p (y − k)
(y − k) = 4p (x − h)
2
2
Ellipse
(x − h) a + (y − k) b = 1
(y − k) a + (x − h) b = 1
2
2
2
2
2
2
2
2
Hyperbola
(x − h) a − (y − k) b = 1
(y − k) a − (x − h) b = 1
2
2
2
2
2
2
2
2
Circumference
Circle
C = 2πr
orC = πd
Area
Triangle
A = 12bh
Rectangle or Parallelogram
A = bh
Rhombus
A = 12d d
1
2
Trapezoid
A = 12(b +b )h
1
2
Regular Polygon
A = 12aP
Circle
A = πr
2
Surface Area
Lateral
Total
Prism
S = Ph
S = Ph + 2B
Pyramid
S = 12Pl
S = 12Pl + B
Cylinder
S = 2πRh
S = 2πRh + 2r
2
Cone
S = πrl
S = πrl + πr
2
Sphere
S = 4πr
2
Volume
Prism or Cylinder
V = Bh
Pyramid or Cone
V = 13Bh
Sphere
V = 43πr
3