Chapter+12

12.1 y=kx y varies directly with x xy=k-inverse variation

xy=20 make a graph, and then graph

If k vaule is positive you use quadrants 1 and 3 If k is negative you use quadrants 2 and 4.

Product Rule if (x1,y1) and (x2,y2) are solutions then the both equal each other because both equal k.

12.2 factor numberator, factor denominator, simplfy.

12.3 Rational Expressions, use dimensional analysis. multiply numerator,denominator, simplify or simplyfy numerator denominator

Dimesional Analysis 1. set up units so they cancel out 2. plug in numbers 3. simplyfiy 4. multiply numerator 5. multiply denominator 6. Make sure denominator has value of 1

12.4 Dividing Rational expressions If its fractions your dividing by flip the second number upside down and multiply. Then do same as 12.2

12.5 monimial put the first part over thesecond part, factor, simplyfiy

12.6 Add and subtract rational expressions with like denominators

12.7 1. find common denominator 2. add numerator 3.keep denominator 4. simplyfy 12.9 When you have a varible in the denominator it will be an extraneous solution.