1. Adding AND Subtracting Rational Expressions
Honors Algebra II
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2. Adding or Subtracting Rational Expressions
Step 1. If the denominators are the same, add or subtract the numerators. Place the result over the common denominator. If the denominators are different, first find the least common denominator. Write all rational expressions with this least common denominator, and then add or subtract the numerators. Place the result over the common denominator. Step 2. Simplify . Write all answers in lowest terms.

3. Simplify the Expression
𝑛−8 45 𝑛 𝑛 2 −360𝑛 +5

4. Simplify the Expression
2 𝑛−2 − 5 7𝑛+5

5. Simplify the Expression
3 3𝑛−3 − 6𝑛 𝑛−1

6. Simplify the Expression
6𝑝 7𝑝+6 − 5 𝑝+3

7. Simplify the Expression
𝑝−8 5 𝑝 2 +29𝑝−42 + 6𝑝 3 𝑝 2

8. Simplify the Expression
8 7𝑘 𝑘−8

9. Simplify the Expression
5 3𝑝−8 − 2 2𝑝−8

10. Simplify the Expression
8 𝑟−3 + 5 𝑟+4

11. Simplify the Expression
3 𝑛−7 + 6𝑛 2𝑛−7

12. Simplify the Expression
5𝑝 2𝑝−8 + 8𝑝 𝑝−2

13. Simplify the Expression
𝑎−1 𝑎−3 − 𝑎−3 𝑎 𝑎+1 𝑎−3 − 3𝑎+2 𝑎−3

14. Simplify the Expression
𝑥 3 − 𝑥 𝑥−2 + 𝑥−2 𝑥 2

15. Simplify the Expression
𝑥 2 9 − 1 𝑥 3 𝑥 − 2𝑥−1 9

16. Simplify the Expression
𝑚−3 3𝑚−3 + 4 𝑚−1 3 𝑚−3 + 𝑚−3 3𝑚−3