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Worksheet

Introduction to Rational Expressions

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Show your work for each problem.

  1. 1.
    Which of the following is a rational expression?
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    For the expression , what value of makes it undefined?
  3. 3.
    What is true about the expression ?
    1. a)It is undefined when
    2. b)It is a rational expression with no restrictions
    3. c)It is not a rational expression
    4. d)It is undefined when
  4. 4.
    Evaluate when .
  5. 5.
    Find the value that makes undefined.
  6. 6.
    For the expression , how many values of make it undefined?
    1. a)2
    2. b)0
    3. c)1
    4. d)4
  7. 7.
    For , one restriction is . What is the other restriction?
  8. 8.
    Find all restrictions for .
  9. 9.
    Which statement about is correct?
    1. a)It equals
    2. b)It is undefined for all
    3. c)It is undefined when
    4. d)It equals 0 for all
  10. 10.
    Evaluate when .
  11. 11.
    Find all restrictions for .
  12. 12.
    Which expression is NOT a rational expression?
    1. a)
    2. b)
    3. c)
    4. d)
  13. 13.
    How many restrictions does have?
  14. 14.
    Find all values that make undefined.
  15. 15.
    For which value of is undefined but is defined?
    1. a)
    2. b)
    3. c)
    4. d)
  16. 16.
    For what values of is undefined?
  17. 17.
    What is the result of for any real value of ?
    1. a)
    2. b)1
    3. c)0
    4. d)Undefined
  18. 18.
    Evaluate when .
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/algebra/rational-expressions/intro-rational-expressions