RATL 2 | Lesson 2 | Practice (Adding Rational Expressions)

Adding Rational Expressions

Use the example and the procedures you wrote to add the following rational expressions:

  1. \(\dfrac{1}{x+3}+\dfrac{1}{x+5}\)
  2. \(\dfrac{2}{x+7}+\dfrac{3}{x+7}\)
  3. \(\dfrac{3+x}{x+7}+\dfrac{4+x}{x+5}\)
  4. \(\dfrac{x-3}{x+8}+\dfrac{x+1}{x-6}\)


(Check to see if you have the right answers which are listed below.  They are not in order, and there is one extra answer.)

\(\dfrac{2x^2+26}{x^2+2x-48} \hspace{5mm} \dfrac{5}{x+7} \hspace{5mm} \dfrac{2x^2+19x+43}{x^2+12x+35} \hspace{5mm} \dfrac{x^2+26}{x^2+2x-48} \hspace{5mm} \dfrac{2x+8}{x^2+8x+15}\)

What did you notice? For extra practice try the same procedures with some subtraction problems. Don’t forget to distribute the subtraction sign to the terms in the subtrahend.

Go to Making Connections (Adding Rational Expressions)

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