# Algebra

```Standard Form (Linear)
Difference of Squares
πππ + ππ + π = π ππ
π(π) = πππ + ππ + π; π(π) ≡ π
(ππ − ππ ) = (π − π)(π + π)
Standard (Vertex) Form
π − ππ = π(π − ππ )
π(π) = π(π − π)π + π
Slope-Intercept Form
π=
ππ − ππ
ππ − ππ
(π, π) = οΏ½
π = οΏ½(ππ − ππ )π + (ππ − ππ )π
ππ = (π − π)π + (π − π)π
π π + π π ππ + ππ
οΏ½
,
οΏ½
π
π
π = οΏ½(π − π)π + (π − π)π
r = radius, (h, k) = center of circle
ππ π
πππ
οΏ½ π οΏ½ = ππ
π
π
π
π = πππππ.
π≠π
π
−π
π = π
(ππ )π = πππ
π
π≠π
(ππ)π = ππ ππ
ππ = π
π
√π = ππ/π ; n ≠ π
π
π
π
οΏ½ √ποΏ½ = √ππ = ππ/π
π = log π π βΊ ππ = π
π₯π¨π  π π
LSC-O Learning Center
−π
−π
−π
ππ
, π οΏ½ οΏ½οΏ½ ππ οΏ½
,π − οΏ½
ππ
ππ
ππ
ππ
Equation of a Circle
Midpoint Formula
π₯π¨π  π π =
Difference of Cubes
Vertex of a Parabola
Distance Formula
π₯π¨π  π π
ππ + πππ + ππ = (π + π)π
ππ − πππ + ππ = (π − π)π
−π &plusmn; √ππ − πππ
π=
ππ
Slope Formula
ππ + ππ ; πππππ
Perfect Square Trinomial
π = ππ + π
Sum of Squares
ππ − ππ = (π − π)οΏ½ππ + ππ + ππ οΏ½
Sum of Cubes
ππ + ππ = (π + π)οΏ½ππ − ππ + ππ οΏ½
β² Tip: Use S.O.A.P. to remember
the signs in the Diff. and Sum of
Cubes formulas—Same, Opposite,
Always Positive.
π₯π
π−π§
=
π₯
π₯π§
π₯≠0
Find this and other math
resources on the LSC-O
Learning Center Math
Tutorials page.
ππ ππ = ππ+π
http://www.lsco.edu/learningcenter/math.asp
ππ + ππ = πππ
οΏ½
πππ − ππ = ππ
π₯π¨π  π π = π; π₯π¨π  π = πππππ.
π
π₯π¨π  π ππ = π
βTip: Use the change of base formula to
convert to base 10 (log) or base e (ln).
Some calculators handle only these
bases.
(409) 882-3373
π
√π
=
; π ≠π
π
π
οΏ½
π₯π¨π  π π = π
πlogπ π = π
π₯π¨π  π π΄π = π· π₯π¨π  π π΄
π₯π¨π  π π = π₯π¨π  π π → π = π
π₯π¨π  π π΄π΅ = π₯π¨π  π π΄ + π₯π¨π  π π΅
π΄
π₯π¨π  π = π₯π¨π  π π΄ − π₯π¨π  π π΅
π΅
Ron E. Lewis Library building, rm. 113
EP, 7/2013
Point-Slope Formula
```