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Adding & Subtracting Rational Expressions (Algebra 2)

Free printable Algebra 2 algebra worksheet on adding and subtracting rational expressions over a common denominator.

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Algebra 2 · Math worksheet
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Algebra 2: Adding & Subtracting Rational Expressions

Combine each expression into a single fraction. Find a common denominator where needed, combine the numerators, and state the domain restrictions.

  1. 1.
    Write as a single simplified fraction and state the domain restrictions: 2/(x + 1) - 4/(x - 1)
  2. 2.
    Write as a single simplified fraction and state the domain restrictions: -5/(x - 3) + 2/(x - 5)
  3. 3.
    Write as a single simplified fraction and state the domain restrictions: -5/(x + 3) + 4/(x + 3)
  4. 4.
    Write as a single simplified fraction and state the domain restrictions: -2/(x + 3) + 5/(x - 6)
  5. 5.
    Write as a single simplified fraction and state the domain restrictions: 4/(x - 3) - 5/(x + 2)
  6. 6.
    Write as a single simplified fraction and state the domain restrictions: 7/(x - 1) + 2/(x - 1)
  7. 7.
    Write as a single simplified fraction and state the domain restrictions: -2/(x - 4) + 5/(x - 3)
  8. 8.
    Write as a single simplified fraction and state the domain restrictions: -7/(x + 3) - 6/(x - 3)
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