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  • Absolute values
  • Absolute value equations

Absolute value equations

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  • Question 1:
    1 pts
    		Solve equation ∣−3r∣=15.|-3r|=15.

    55

    {−5,5}\{-5,5 \}

    −5-5

    0.50.5

  • Question 2:
    1 pts
    		Solve equation ∣n3∣=2.\left|\dfrac{n}{3}\right|=2.
    66
    −6-6
    {−6,6}\{-6,6 \}
    none of these
  • Question 3:
    1 pts
    		Solve equation ∣x−16∣=0.3|x-16|=0.3
  • Question 4:
    1 pts
    		Solve equation ∣2x∣+5=3.|2x|+5=3.

    22

    −2-2

    {2,−2}\{2,-2 \}

    none of these

  • Question 5:
    2 pts
    		Solve equation ∣6x+24∣=0.|6x+24|=0.
    44
    −4-4
    {4,−4}\{4,-4 \}
    none of these
  • Question 6:
    2 pts
    		Solve equation ∣9x∣−11=x.|9x|-11=x.

    {−810,−1110}\{-\dfrac{8}{10},-\dfrac{11}{10}\}

    {−118,−1110}\{-\dfrac{11}{8},-\dfrac{11}{10}\}

    {118,−1110}\{\dfrac{11}{8},-\dfrac{11}{10}\}

    {−118,−1110}\{-\dfrac{11}{8},-\dfrac{11}{10}\}

  • Question 7:
    2 pts
    		Solve equation 2x−7=∣x+1∣.2x-7=|x+1|.
    22
    88
    {2,8}\{2,8 \}
    {−2,8}\{-2,8 \}
  • Question 8:
    2 pts
    		Solve equation 6∣1−5x∣−9=57.6|1-5x|-9=57.
  • Question 9:
    3 pts
    		Solve equation ∣4x−3∣=∣x+6∣.|4x-3|=|x+6|.

    x=−3x=-3 or x=−35x=-\dfrac{3}{5}

    x=3x=3 or x=−35x=-\dfrac{3}{5}

    x=3x=3 or x=35x=\dfrac{3}{5}

    x=−3x=-3 or x=35x=\dfrac{3}{5}

  • Question 10:
    3 pts
    		Solve equation 5∣9−5n∣−7=38.5|9-5n|-7=38.
  • Question 11:
    3 pts
    		Solve equation ∣3x−2∣=∣5x+4∣.|3x-2|=|5x+4|.
    {4,−14}\left \{4,-\dfrac{1}{4}\right\}
    {−1,−13}\left \{-1,-\dfrac{1}{3}\right\}
    {−2,−25}\left \{-2,-\dfrac{2}{5}\right\}
    {−3,−14}\left \{-3,-\dfrac{1}{4}\right\}
  • Question 12:
    3 pts
    		Solve equation. ∣x+52−x∣=6\left|\dfrac{x+5}{2-x} \right|=6

    {−1,−175}\left \{-1,-\dfrac{17}{5}\right \}

    {1,175}\left \{1,\dfrac{17}{5}\right \}

    175\dfrac{17}{5}

    −1-1

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