15 terms

Formulas for College Algebra 1314 (Richland College)

Feel free to add more terms if I missed any (to edit, the password is 1234)! For the quadratic formula, here: https://www.youtube.com/watch?v=2lbABbfU6Zc It'll be stuck with you forever now. Mwahaha :) Tips for absolute value inequalities: Remember, great OR less AND. The greater than inequalities are always split up (OR) and the less than inequalities are always together (AND). When dividing an inequality by a negative number, ALWAYS flip the inequality sign.
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Terms in this set (...)

Slope (rise/run)
y₂-y₁/x₂-x₁
Slope Intercept Formula
y=mx+b
Point Slope Formula
y-y₁=m(x-x₁)
General Form (for lines)
Ax+By=C
Standard Form (circles)
(x-h)²+(y-k)²=r² (center=(h,k))
Midpoint Formula
((x₁+x₂)/2 , (y₁+y₂)/2)
Distance Formula
√(x₂-x₁)²+(y₂-y₁)²
Quadratic Formula
x=(-b±√b₂-4ac)/2a
Cubic Function Formula
(a b)(a² ab b²) (Use Same Opposite AlwaysDifferent or SOAP for the + or −)
(a²-b²) (Difference of squares)
(a+b)(a−b)
Sum Formula (Sequences)
Sn=a₁/(1-r)
Arithmetic Sequence Formula
an=a₁+(n-1)d
Arithmetic Sequence Sum Formula
Sn=(n/2)(a₁+an)
Geometric Sequence Formula
an=ra(n-₁) (The n won't go down, but it's r times a *subscript* (n-1))
Geometric Sequence Sum Formula
Sn=[a₁(1-r^n)]/(1-r)