Absolute Value Equations Practice

What are the solutions of the following equations?

1. $2|4x+5|=0$

   Choose 1 answer:

   1. $x=-\dfrac{4}{5}$ or $x=\dfrac{5}{4}$
   2. Only $x=-\dfrac{5}{4}$
   3. Only $x=-\dfrac{4}{5}$

   4. There are no solutions.

2. $8 = 3|x-7| +4$

   Choose 1 answer:

   1. $x=-\dfrac{25}{3}$ or $x=\dfrac{25}{3}$
   2. $x=\dfrac{17}{3}$ or $x=\dfrac{25}{3}$
      
   3. Only $x=\dfrac{25}{3}$

   4. There are no solutions.

3. $|3x-2|-9=-10$

   Choose 1 answer:

   1. $x=\dfrac{1}{3}$ or $x=1$
   2. $x=\dfrac{1}{3}$ or $x=-\dfrac{1}{3}$
   3. Only $x=\dfrac{1}{3}$

   4. There are no solutions.

4. $6+4|x+1|=6$

   Choose 1 answer:

   1. $x=-\dfrac{5}{2}$ or $x=\dfrac{1}{2}$
   2. $x=-1$ or $x=\dfrac{1}{2}$
      
   3. Only $x=-1$
   4. There are no solutions.

Source: Khan Academy, https://www.khanacademy.org/math/college-algebra/xa5dd2923c88e7aa8:linear-equations-and-inequalities/xa5dd2923c88e7aa8:absolute-value-equations/e/absolute-value-equations
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