Picking the Correct Equation for Absolute Value

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

Solve the following equation:

3| −8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Solve the following equation:

|2x – 3| + 5 = 10.

• {−1, 1}

• {−1, 4}

• {−1, −4}

• {1, 4}

| 3n + 12 | = 2n

• No Solution

• n = -12 and n = ^-12/₅

• n = -12

• n = ^-12/₅

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

|−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

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.

Solve the absolute value equation. 

• {7}

• {-7, 7}

• {0, 7}

• No Solution