Algebra Cheat Sheet
|Basic Properties & Facts|
Properties of Inequalities
Properties of Absolute Value
|Logarithms and Log Properties|
is equivalent to
where e = 2.718281828K
The domain of
|Factoring and Solving|
If n is odd then
| Quadratic Formula
Solve ax 2 + bx + c = 0, a ≠ 0
If b2 - 4ac > 0 - Two real unequal
|Completing the Square|
|Solve 2x2 - 6x -10 = 0
(1) Divide by the coefficient of the x2
x2 - 3x - 5 = 0
(2) Move the constant to the other side.
x2 - 3x = 5
(3) Take half the coefficient of x, square
it and add it to both sides
(4) Factor the left side
(5) Use Square Root Property
(6) Solve for x
|Functions and Graphs|
Slope – intercept form
x = ay2 + by + c g ( y) = ay2 + by + c
The graph is a parabola that opens right
if a > 0 or left if a < 0 and has a vertex
Graph is a hyperbola that opens left and
Graph is a hyperbola that opens up and
Common Algebraic Errors
|and||Division by zero is undefined!|
|Watch parenthesis !|
|A more complex version of the
Beware of incorrect canceling!
Make sure you distribute the “-“!
|See previous error.|
|and||More general versions of previous
Square first then distribute!
|See the previous example. You can not
factor out a constant if there is a power on
the parethesis !
Now see the previous error.