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Common Algebraic Formulas
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Binomial Theorem Expansion Formula
(a + b)^n = \sum_{k=0}^{n} {n \choose k} a^{n-k}b^k
Circle Circumference Formula
C = 2\pi r
Pythagorean Theorem
c^2 = a^2 + b^2
Compound Interest Formula
A = P(1 + \frac{r}{n})^{nt}
Standard Form of a Linear Equation
Ax + By = C
Rectangle Area Formula
A = lw
Point-Slope Form
y - y_1 = m(x - x_1)
Simple Interest Formula
I = Prt
Midpoint Formula
M = ( [\frac{x_1 + x_2}{2}] , [\frac{y_1 + y_2}{2}] )
Sum of a Geometric Series Formula
S_n = a_1 \frac{1 - r^n}{1 - r}
Area of a Triangle Formula
A = \frac{1}{2}bh
Circle Area Formula
A = \pi r^2
Volume of a Sphere Formula
V = \frac{4}{3} \pi r^3
Exponential Decay Formula
y = a(1 - r)^t
Area of a Trapezoid Formula
A = \frac{1}{2}(b_1 + b_2)h
Slope-Intercept Form
y = mx + b
Perimeter of a Rectangle Formula
P = 2(l + w)
Exponential Growth Formula
y = a(1 + r)^t
Distance Formula
d = \sqrt{ (x_2 - x_1)^2 + (y_2 - y_1)^2 }
Slope of a Line
m = (y_2 - y_1) / (x_2 - x_1)
Quadratic Formula
x = [ -b \pm \sqrt{b^2 - 4ac} ] / (2a)
Sum of an Arithmetic Series Formula
S_n = \frac{n}{2} [2a_1 + (n - 1)d]
Area of a Circle Sector Formula
A = \frac{1}{2} r^2 \theta
Volume of a Cylinder Formula
V = \pi r^2h
Volume of a Rectangular Prism Formula
V = lwh
Volume of a Cone Formula
V = \frac{1}{3} \pi r^2h
Area of a Square Formula
A = s^2
Volume of a Pyramid Formula
V = \frac{1}{3} Bh
Perimeter of a Square Formula
P = 4s
Area of a Parallelogram Formula
A = bh
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