1. Adding and subtracting rational expressions: To add or subtract rational expressions use the addition property: Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

2. If the expressions have the same (common) denominator, add or subtract the numerators, keep the same denominator, and simplify the result. Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

3. Do the operations and simplify the result: Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

4. =1 Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

6. = 9 Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

7. Opposite Factors as Denominators: Multiply top and bottom by (-1)

8. To + or – with different denominators find the least common denominator (LCD), change each fraction so that it has that denominator, then + or – the numerators. The LCD is your denominator. Simplify your answer. Simply stated, the LCD is the least number (expression) that all denominators will divide into evenly. Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

9. To find the LCD factor each denominator write the different factors present in each denominator These factors make up your LCD Ask: What does the other denominator have that this denominator needs in order to match? What is missing? Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

10. Find the LCD for (y² -16) & (y² - 8y + 16) (y + 4)(y - 4) & (y - 4)(y - 4) LCD: (y + 4)(y - 4)(y - 4) Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1 Only in the 1 st In the 1 st & 2 nd Only in the 2 nd

11. Find the LCD. Then, find the answer. 1. 2. Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

12. Add : LCD = change each fraction to LCD add/subtract numerator Simplify with denominator Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

13. Add : LCD = change each fraction to LCD add/subtract numerator Simplify with denominator Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

14. Add : LCD = change each fraction to LCD add/subtract numerator Simplify with denominator (Top isn’t factorable) Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1

15. 1. LCD: (x – 9)

16. Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1 2. (x+3) (x-2) (x+3) (x-5) (x-5) (x-2) (x – 5) (x – 2) (x + 3)

17. (y + 2) (y – 2) (y + 2) (y – 2) 3. (2 – y)(2 + y) – (-2 + y)

18. LCM: (x-1) (x+1) (x+1) Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1 4. (x-1) (x-1) (x+1) (x+1) (x+1)