Solving Two-Step Absolute Value Equations

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 > -8

• 2x + 12 < 8 or 2x+12 > -8

• 2x + 12 < 8 and 2x+12 < -8

• 2x + 12 < 8 or 2x+12 < -8

What is the correct first step?

• divide by 10

• multiply by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and"

Solve the absolute value equation: |2y - 4| = 8

Solve the absolute value equation: |3x - 9| = 0

4|5x-2|+7>39

• -6/5<x>2

• x=2 or x=-6/5

• x=2 and x=-6/5

• x<-6/5 or x>2

−2|−2r − 4| = -12

• {5,1}

• {-5, -1}

• {-5, 1}

• No Solution

What is the solution of ∣5x-2∣=7x+14?

• x=-1

• x=-1, x=-8

• x=-8

• no solutions

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers