RATIONAL EXPRESSIONS
ALGEBRA 2

Graphing Simple Rational Functions, Graphing General Rational Functions, Simplifying Rational Expressions, Multiplying / Dividing Rational Expressions, Adding / Subtracting Rational Expressions, Complex Fractions, Solving Rational Equations

All of our 71 video lessons are numbered below within their corresponding section. Select the section title to be brought to a compilation video lesson of that section. All of these videos are linked to our YouTube Channel. Enjoy!

SIMPLIFYING RATIONAL EXPRESSIONS

1. 60x^3/12x

2. 70v^2/100v

3. (m+7)/(m^2+4m-21)

4. (n^2+6n+5)/(n+1)

5. (35x-35)/(25x-40)

6. (-n^2+16n-63)/(n^2-2n-35)

7. (p+4)/(p^2+6p+8)

8. 9/(15a-15)

9. (2a^2+10a)/(3a^2+15a)

10. (p^2-3p-10)/(p^2+p-2)

11. (x^2+x-6)/(x^2+8x+15)

12. (a^2+5a+4)/(a^2+9a+20)

13. (x^2-2x-15)/(x^2-6x+5)

14. (10x-6)/(10x-6)

15. (v-7)(v+8)/(v+8)(v-10)÷1/(v-10)

16. ((n+3)/(n+2))÷((n-1)(n+3)/(n-1)^2)

17. ((x+3)/4)•(3(x-6)/3(x+3))

18. ((x-8)/(x+6)(x-8))•(4x(x+10)/(x+10))

19. ((2b^2-12b)/(b+5))÷((b-6)/(b+5))

20. (1/(n+9))÷((6-n)/(3n-18))

21. ((28-7b)/(b-4))•(1/(b+10))

22. (2/(v^2-12v+27))•((v^2-12v+27)/3)

23. (1/5p^2)÷((9p-36)/(5p^3-35p^2))

24. ((8-7x-x^2)/(x+8))•((x+5)/(9x-9))

25. ((x^2-16)/(9-x))•((x^2+x-90)/(x^2+14x+40))

26. ((10x^2-20x)/(40x^3-80x^2))•((16x^3+80x^2)/(6x+30))

ADDING/SUBTRACTING RATIONAL EXPRESSIONS

1. (u-v)/8v-(6u-3v)/8v

2. (m-3n)/6m^3n-(m+3n)/6m^3n

3. 5/(a^2+3a+2)+(5a-1)/(a^2+3a+2)

4. 5/(10n^2+16n+6)+(n-6)/(10n^2+16n+6)

5. (r+6)/(3r-6)+(r+1)/(3r-6)

6. (x+2)/(2x^2+13x+20)-(x+3)/(2x^2+13x+20)

7. 6/(x-1)-5x/4

8. 6-(x+5)/((7x-5)(x+4))

9. 3/(x+7)+4/(x-8)

10. 3/(4v^2+4v)-7/2

11. 7/3-8/(12x-8)

12. 5/(n+5)+4n/(2n+6)

13. 2x/(5x+4)+6x/(2x+3)

14. 2/(3x^2+12x)+8/2x

15. 7n/(n+1)+8/(n-7)

16. 2/(n+8)+4/(n+1)

17. 3/8-3/(3x+4)

18. 3/(b-8)+7/(b+3)

19. 3/(x+6)+7/(x-2)

20. 4/(x+1)-2/(x+2)

21. (5n+5)/(5n^2+35n-40)+7n/3n

22. 3/(n-5)+6/(3n-8)

23. (25/4)/(1/5-4/25)

24. 8/(4/9-16/9)

25. (a/25-a/5)/a

26. (5/4)/(5/m-4/m)

27. Simplify: a/b+c/d

28. Split into a sum of two rational expressions with unlike denominators: (2x+3)/(x^2+3x+2)

COMPLEX FRACTIONS

1. 4/(3/4-3/2)

2. (1/4+5/4)/4

3. (4/5)/(2/25-5/16)

4. 2/(3/2-4/3)

5. x/(3/x+1/x)

6. (16/(m-1))/(16/5-16/25)

7. 9/(9/x+2/3x)

8. a^2/(4/5-4/a)

9. (x^2/9-1/4)/6x

10. (a/8-4/a^2)/4

11. (25/12+(x+1)/4)/(1/18-(x+1)/36)

12. (16/(m-3)-4/(m-4))/(16/m^2-(m-4)/(m-3))

13. ((x-6)/6-(x-2)/(x-6))/(36/(x-2)+4/9)

14. (1/2-(x+5)/4)/(x^2/2-5/2)