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Adding and Subtracting Rational Expressions (Part 2)

  1. 1
    Simplify and state any restrictions. $$ \frac{3}{x-1}+\frac{4}{x-1}$$
  2. 2
    Simplify and state any restrictions. $$ \frac{5}{x-3}+\frac{1}{x+2}$$
  3. 3
    Simplify and state any restrictions. $$ \frac{x}{x+5}+\frac{2x}{x-3}$$
  4. 4
    Simplify and state any restrictions. $$ \frac{4}{x-5}-\frac{6x}{6x-30}$$
  5. 5
    Simplify and state any restrictions. $$ \frac{3x+1}{3(x-2)}+\frac{x}{2x-4}$$
  6. 6
    Simplify and state any restrictions. $$ \frac{4}{x^2+x-6}+\frac{2}{x-2}$$
  7. 7
    Simplify and state any restrictions. $$ \frac{8}{x^2-16}-\frac{4}{x+4}$$
  8. 8
    Simplify and state any restrictions. $$ \frac{-3}{x^2-7x}-\frac{2}{x}$$
  9. 9
    Simplify and state any restrictions. $$ \frac{3x}{x^2+5x-14}-\frac{2}{x+7}$$
  10. 10
    Simplify and state any restrictions. $$ \frac{2x}{x^2+4x+3}-\frac{4}{x+3}$$
  11. 11
    Simplify and state any restrictions. $$ \frac{x-2}{x^2+4x-12}-\frac{x+3}{x^2+7x+12}$$ $$ $$ good test question!
  12. 12
    Simplify and state any restrictions. $$ \frac{m+6}{m^2+9m+18}-\frac{m-3}{m^2-2m-3}$$
  13. 13
    Simplify and state any restrictions. $$ \frac{m^2+m-6}{m^2-3m+2}-\frac{m^2+3m+2}{m^2-m-2}$$
  14. 14
    Simplify and state any restrictions. $$ \frac{2}{2m^2+3m-2}-\frac{3}{3m^2+4m-4}$$

    For extra review on factoring trinomials, click here
  15. 15
    Simplify and state any restrictions. $$\frac{1}{1+\cfrac{1}{1+\cfrac{1}{x}}}$$ $$ $$ Need to simplify using both adding / subtracting and multiplying / dividing rational expressions. Good test question!

$$e=mc^2$$