Absolute Value Equations Solutions

What is the solution(s) of the graphs?

• None

• (-2, 0)

• (0, -2)

What is the FIRST step to solving the equation:|x + 1| = 4

• Set up 2 equations

  x + 1 = 4

  x + 1 = -4

• Subtract 1 on both sides

• Set up 2 equations:

  x + 1 = 4

  x - 1 = 4

• Add 1 to both sides

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

• -2

• 2

• 4

• -3

What is the first step to solve the following equation?

-2|x + 3| = -10

• Set up 2 equations

  -2(x + 3) = 10

  -2(x + 3) = -10

• Add 2 to both sides

• Subtract 3 from both sides

• Divide by -2 on both sides

• 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 to solve the following equation?

|2x - 1| = -5

• Add 1 to both sides

• Set up 2 equations:

  2x - 1 = 5

  2x - 1 = -5

• No Solution

• Divide by 2 on 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