Solving multi-step problems involving absolute value linear equations in one variable

 $\left|2a-7\right|-4=-1$  

• x={1,-2}

• x={5,2}

• No Solution

5∣ x ∣ - 8 = 2

• x = 5
  x = 2
• x = 2
  x = -2
• x = -5
  x = 10
• x = 18
  x =  -18

Solve |2x –3| + 5 =10.

Show your work on paper!! Then select the correct answer.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

Solve and check for extraneous solutions. |n + 5| + 8 = -10

• NO Solution
• n = -23 and n = 13
• n = 23 and n = -13
• n = -3 and n = -7

Select the absolute value equation:

 $3\left|x-4\right|-3=0$  

• no solution
  

• 1 solution: x=4
  

• 2 solutions: x=3,5
  

For an absolute value equation to have TWO solution, which of the following should be true?

• |__| = +#

• |__| = -#

• |__| = 0

|2x + 1| = 23

• x = -12 or x = 11

• x = 11

• x = 12 or x = 11

• x = -12 or x = -11

6 ∣1-5x ∣ - 9 = 57

• x = 5/59, 5/61

• x = 2, -2

• x = -2, 12/5

• x = 2, 3/7

|6 - 2k| = 18

• k = -6

• k = -6

  k = 12

• k = -12

  k = -6

• k = -6

  k = 5

|2𝑥−9|/ 3 = 12

• x = -45/2 or x = 27/2

• x = 45/2 or x = 27/2

• x = 45/2 or x = -27/2

• x = -45/2 or x = -27/2