Rule #1 Don't wait until you are in trouble
before seeking assistance.
Exponents:
Algebra Formulas Exponents definition x raised to a zero power equals one. Algebra Formulas Exponents a term raised to a power.
Algebra Formulas Exponents multiplication same base add exponents. Algebra Formulas Exponents a power raised to a power.
Algebra Formulas Exponents division same base subtract exponents. Algebra Formulas Exponents a fraction raised to a power.
Algebra Formulas Exponents negative exponents move to the bottom of a fraction. Algebra Formulas Exponents negative exponents switch numerator and denominator.
Radicals:
Algebra Formulas Exponents like roots can be combined.
Algebra Formulas Exponents like roots in a fraction can be combined into a single fraction.   ,  where  Algebra Formulas Linear Functions y can not equal zero.
Algebra Formulas Exponents fractional exponents can be changed to radical expressions.
Algebra Formulas Exponents nth root of the nth power equals absolute value of x when n is even. , Where n is an even positive Integer.
Algebra Formulas Exponents nth root of the nth power equals x when n is odd. , Where n is an odd positive Integer.
Logarithms:
Algebra Formulas Logarithms y equals log b of x. if and only if Algebra Formulas Logarithms x equals b raised to the y.
Algebra Formulas Logarithms multiplication can be rewritten as addition.
Algebra Formulas Logarithms division can be rewritten as subtraction.
Algebra Formulas Logarithms logs raised to powers can be rewritten as multiplication.
Algebra Formulas Logarithms change of base formula.
Algebra Formulas Logarithms definition log b of b equals one.   Algebra Formulas Logarithms log b of one equals zero.
Variation:  
Direct: Algebra Formulas Variation direct y equals k times x.  
Inverse: Algebra Formulas Variation inverse y equals k divided by x.  
Joint: Algebra Formulas Variation joint y equals k times x times y.  

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Special Factoring Formulas:
Perfect Square
Trinomial		 Algebra Formulas Special Factoring Formulas a positive binomial squared.
Perfect Square
Trinomial		 Algebra Formulas Special Factoring Formulas the difference of cubes.
Difference of
Two Squares		 Algebra Formulas Special Factoring Formulas the difference of squares.
Sum of Squares Algebra Formulas Special Factoring Formulas the sum of squares is prime.  Does not factor  ( prime )
Sum of
Two Cubes		 Algebra Formulas Special Factoring Formulas the sum of cubes.
Difference of
Two Cubes		 Algebra Formulas Special Factoring Formulas the difference of cubes.
Linear Equations:
The Distance between two points Algebra Formulas Linear Functions point x1 y1. and Algebra Formulas Linear Functions point x2 y2.
is Algebra Formulas Linear Functions the distance formula.
The Slope of a line passing through Algebra Formulas Linear Functions point x1 y1. and Algebra Formulas Linear Functions point x2 y2.
is Algebra Formulas Linear Functions the slope formula. where Algebra Formulas Linear Functions x1 can not equal x2.
Parallel lines have the same slope. Algebra Formulas Linear Functions m1 equals m2.
Non-vertical perpendicular lines have slopes whose
product is -1 This may be written as Algebra Formulas Linear Functions m1 equals negitive one divided by m2.
Horizontal lines have a slope of 0.
Vertical lines have no slope.  (The slope is not
defined for a vertical line.)
Slope Intercept Algebra Formulas Linear Functions slope y intercept form.  
  Algebra Formulas Linear Functions m equals slope.    /Algebra Formulas Linear Functions b equals the y intercept.
Point Slope Algebra Formulas Linear Functions the point slope formula.
  Algebra Formulas Linear Functions point x1 y1.  is a point on the line.
    Algebra Formulas Linear Functions m equals slope.
Midpoint Algebra Formulas Linear Functions the midpoint formula.
Inverse Functions:    
If Algebra Formulas Functions f of x. is a one to one function, and  
  Algebra Formulas Functions g of x. is the inverse of Algebra-Formulas-Functions-f-of-x.  
    Algebra Formulas Functions composite function f composite g.    
then, Algebra Formulas Functions composite function g composite f.    
    Algebra Formulas Functions composite function f composite f inverse equals x.