Page 114 - Birmingham City Schools 2020-2021

MATHEMATICS
Polynomials
Tables of Formulas
a(b +c) (a + b)2 (a - b)2 (a + b)(c + d) (a + b)3 (a - b)3 (a + b)(a - b) (a + b)(a2 - ab + b2) (a - b)(a2 + ab + b2) (a + b + c)2
= ab + ac
= a2 + 2ab + b2
= a2 - 2ab + b2
= ac + ad + bc + bd
= a3 + 3a2b + 3ab2 + b3
= a3 - 3a2b + 3ab2 - b3
= a2 - b2
= a3 + b3
= a3 - b3
= a2 + b2 + c2 + 2ab + 2ac + 2bc
Area of a triangle
Geometric Formulas
Area of a square
A = s2 where s = side length
Area of a rectangle
A = lw where l = length and w = width
A = 12 bh where b = base and h = height
Area of a parallelogram
A = bh where b = base and h = height
Area of a circle
A = π r 2 where π = 3.14 and r = radius
Circumference of a circle
C = πd where π = 3.14 and d = diameter
Perimeter of a polygon
P = Sum of the length of the sides
Perimeter of a rectangle
P = 2l + 2w where l = length and w = width
Perimeter of a square
Volume of a triangular prism
P = 4s where s = side length
V = Bh where B = area of base and h = height
Volume of a rectangular prism
V=lwh wherel=length,w=width,andh=height
Volume of a cylinder
V = πr2h where π = 3.14, r = radius, andh=height
Volume of a sphere
Volume = 43 πr3;Surface = 4πr2
Volume of a cone
Volume = 13 πr2h; Surface = πr2 + πrl
Volume of a cube
Volume = s3;Surface = 6s2
Surface area of a polyhedron
S = Sum of the area of the faces
Surface area of a cylinder
S = Sum of the lateral surface area and the area of the two bases
Lateral surface area = 2πrh Area of two bases = 2πr2
Other Formulas
Distance traveled
d = rt where r = rate, d = distance, and t = time
Simple interest
I = Prt where I = interest, P = principal, r = rate, and t = time
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