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Dealing With IndexesIf Odd  then nothing happens  If Even  then use absolute value bars  If term power is even and index is odd  then use absolute bars if answer is negative 
Put absolute value bars on variables
Exponents(a^{n})^{m}=a^{n+m}  a^{m}/a^{n}=a^{mn}  a^{0}=1  a^{n}=1/a^{n} 
Factoring x2+bx+cFind a 2 numbers whose sum is b and products of c 
More factoring1. 3xy4x12y+16
2. x(3y4) 4(3y4)
3.(3y4)(x4) 
*Between 1&2: factor first 2 terms and last 2 terms separately
Between 2&3: remove the numbers on the outside and put them in parenthesis
Greatest common Factorletters: each term has to have one  Numbers: the highest number all of terms can multiply into  letters:Chose the one with the lowest exponent 
Complex FractionsSimplify the numerator and the denominator of the complex fraction so that each is a single fraction.
Perform the indicated division by multiplying the numerator of the complex fraction by the reciprocal of the denominator of the complex fraction.
Simplify if possible. 
  Rational functionf(x)=p(x)/q(x)  Solve it like a function 
Finding domain:
Demoninator=0
Solve
Those values are the excluded values
Solve the rest of the equation
if you get the excluded value your answer is no real solution
Rational expressionsMultiplication  Factor denominator, mutliply, reduce  Divison  flip 2nd equation and multiply  Unlike denominators + &   Factor denominator, Find LCD,simplify top 
x+2/x^{2} + x  42 * x+7/x^{2}  4
x+2/(x6)(x+7) * x+7/(x2)(x+2)
x2/x6
8/x2+x  6/x^{2}4+2/x+2
8/x2+x  6/(x+2)(x2)+2/x+2
8+x6+2
x16
Solving with Scientific notationseparate between the operation for each term then solve each, then combine 
(2x10^{3})(1.8x10^{7})
2x1.8=3.6
10^{3}x10^{7}=10^{4}
Answer: 3.6x10^{4}
Special case and FACTORING  1.(a+b)(ab)= a^{2}b^{2}  Perfect Square Trinomial  2. (a+b)^{2}= a^{2}+2ab+b^{2}  4. (ab)^{2}= a^{2}2ab+b^{2}  Sum & Difference of Cubes  3.a^{3}b^{3}= (ab)(a^{2}+ab+b^{2}  5.a^{3}+b^{3}= (a+b)(a^{2}ab+b^{2}  Difference of Square  6.(a b)^{2}= (ab)(a+b) 
  Functionsf(x)=x+4 when x=4>  solve by replacing the x with the one inside the f() 
Graphingit'll ask for you to solve the equation then graph your solutions, they should be x 
Rational equationsFactor Denominators find excluded values  Find LCD of all terms multiply by LCD  check solution 
*always have at least 1 fraction
Solving f(x)Replace the x in the equation (next to the letter) with the equation that comes after the equal sign

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