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Absolute Value Equations
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Absolute Value Equations

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Questions and Answers

What is the first step in solving an absolute value equation?

  • Divide both sides by a constant
  • Add or subtract a constant from both sides (correct)
  • Solve for the variable
  • Apply the absolute value rule

    • What is the result of the equation $5|4x-3| = 20$ after isolating the absolute value?

  • $|4x-3| = 4$ (correct)
  • $|4x-3| = 2$
  • $|4x-3| = 20$
  • $|4x-3| = 5$

    • What are the two cases we solve for after applying the absolute value rule to $|4x-3| = 4$?

  • $4x+3 = 4$ or $4x+3 = -4$
  • $4x-3 = 4$ or $4x-3 = -4$ (correct)
  • $4x+3 = 4$ or $4x-3 = -4$
  • $4x-3 = 4$ or $4x+3 = -4$

    • What are the solutions to the equations $4x-3 = 4$ and $4x-3 = -4$?

    <p>$x=7/4$ and $x=-1/4$</p> Signup and view all the answers

    What is the purpose of checking for extraneous solutions when solving an absolute value equation?

    <p>To ensure the solutions satisfy the original equation</p> Signup and view all the answers

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