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Students,
Here are some resources to help you with your homework. We will be adding to this page as we build the website, so check back often.
Mrs. Pauley


Algebra Formulas  

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Quadratic Formula
In an equation like ax2 + bx + c = 0, you can solve for x using the Quadratic Formula shown on the left.


​Binomial Theorem
  • (a + b)1 = a + b
  • (a + b)2 = a2 + 2ab + b2
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3
  • (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 ...and so on...

Difference of Squares
  • a2 - b2 = (a - b)(a + b)

Rules of Zero
  • 0/x = 0 where x is not equal to 0.
  • a0 = 1
  • 0a = 0
  • a*0 = 0
  • a/0 is undefined (you can't do it)

Absolute Value
  •  |x| < a   if and only if   -a<x<a
  •  |x| > a   if and only if either x>a or x<-a

Special Product Formulas
  • (x + y)(x – y) = x2 – y2
  • (x + y) 2 = x2 + 2xy + y2 
  • (x – y) 2 = x2 – 2xy + y2
  • (x + y)3 = x3 + 3xy2 + 3xy2 + y3   
  • (x – y) 3 = x3 – 3xy2 + 3xy2 – y3 

Special Factoring Formulas
  • x2 – y2 = (x + y)(x – y)
  • x2 + 2xy + y2 = (x + y)2
  • x2 – 2xy + y2 = (x – y) 2
  • x3 – y3 = (x – y)(x2 + xy + y2)
  • x3 + y3 = (x + y)(x2 – xy + y2)

Inequalities
  • If a>b and b>c, then a>c.
  • If a>b, then a+c>b+c.
  • If a>b and c>0, then ac>bc.
  • If a>b and c<0, then ac<bc.

Word Problem Formulas
  •  Distance = rate x time
  •  Rate = distance/time
  •  Time = distance/rate

Laws of Exponents
  • (am)(an) = am+n
  • (ab)m = ambm
  • (am)n = amn
  • a0 = 1
  • (am)/(an) = am-n
  • a-m= 1/(am)

Exponents and Radicals
  • axay = ax + y 
  • a1/x = x√a
  • (ax)y  = axy 
  • ax/y = y√ax 
  • (ab)x = axbx
  • ax/y = ( y√a)x 
  • (a/b)x = ax/bx   
  • x√ab = x√a x√b
  • ax/ay = ax-y
  • x√(a/b) = x√a/x√b
  • a-x = 1/ax                     
  • x√y√a = xy√a


 

Perfect Squares

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