Absolute Value Equations Both Sides

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

|−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-5,5}

• No Solution

When do you set up 2 equations?

|x + 2| + 3 = 4

• That is the first step.

• After you subtract 3 from both sides.

• After you add 2 and 3.

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

What is the first step?

• Drop the absolute value bars by splitting into two equations

• Add 2 to both sides

What is the correct way to write the answer? 

• x = -2 AND x = 6

• x = -2 OR x = 6

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

What is the first step? 

• Drop the absolute value bars by splitting into two inequalities 

• Drop the absolute value bars and subtract 7 from both sides

After you split into two inequalities, what would they look like?

• x + 7 > 1        
     
  x + 7 > -1

• x + 7 > 1

• x + 7 > 1
  X + 7 < -1