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This module provides practice problems related to radical equations.

For each of the following, you will first identify it as one of three types of problem:

  • No x under a radical, so don’t square both sides.
  • x under a radical, so you will have to isolate it and square both sides.
  • More than one x under a radical, so you will have to isolate-and-square more than once!

Then you will solve it; and finally, you will check your answers (often on a calculator). Remember that if you squared both sides, you may get false answers even if you did the problem correctly! If you did not square both sides, a false answer means you must have made a mistake somewhere.

x = -3

  • A

    Which type of problem is it?
  • B

    Solve for x .
  • C

    Check your answer(s).
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2 x - 3 = 3 x

  • A

    Which type of problem is it?
  • B

    Solve for x .
  • C

    Check your answer(s).
Got questions? Get instant answers now!

x - 2 x = 4

  • A

    Which type of problem is it?
  • B

    Solve for x .
  • C

    Check your answer(s).
Got questions? Get instant answers now!

4 x + 2 - 2 x = 1

  • A

    Which type of problem is it?
  • B

    Solve for x .
  • C

    Check your answer(s).
Got questions? Get instant answers now!

3 - x - 2 = -4

  • A

    Which type of problem is it?
  • B

    Solve for x .
  • C

    Check your answer(s).
Got questions? Get instant answers now!

x + 2 x = 15

  • A

    Which type of problem is it?
  • B

    Solve for x .
  • C

    Check your answer(s).
Got questions? Get instant answers now!

x + 4 + x = 2

  • A

    Which type of problem is it?
  • B

    Solve for x .
  • C

    Check your answer(s).
Got questions? Get instant answers now!

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Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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