algebraic fractions

Question 1

how to simplify

Answer 1

expand everything and cancel out

Question 2

how to factor exponential functions

Answer 2

1. what multiplies to be c and adds to be b
2. multiply c and a
   then do what multiplies to be ca
   and adds to be b
   then rearrange formula with the
   two numbers involved in the
   middle
   find the GCF of both sets
   rearrange

Question 3

multiplying algebraic fractions

Answer 3

expand first and cross out what you can
multiply across

Question 4

dividing algebraic fractions

Answer 4

do the reciprocal and multiply

Question 5

adding/subtracting algebraic fractions

Answer 5

make denominators the same

Question 6

how to find x from algebraic fractions

Answer 6

1. obtain same denominator, equate numerator, solve the corresponding equation (ignoring the denominator)
2. multiply both sides of the equation by the common denominator.
3. cross multiply

Question 7

how to make an algebraic equation equal 0 or undefined

Answer 7

set it equal to zero and solve for x
- ignore the denominator
- once you get the two solutions, plug them in. one will be 0/x and one will be x/0 (undefined)