Absolute Value Equations

8|-2x + 4| = 96

• x = -4, x = 8

• x = -4

• x = -4, x = -8

• x = 4, x = 8

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}

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• No Solution

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

Solve the following equation:

|−2n| + 10 = −50

• {30, −30}

• {20, −20}

• {−5, 5}

• No Solution

| 3x - 6 | - 9 = -3

• No Solution

• x = 0 and x = 4

• x = 2 and x = -2

• x = -4 and x = 4

| 3n + 12 | = 2n

• No Solution

• n = -12 and n = ^-12/₅

• n = -12

• n = ^-12/₅

• {37/4}
• {20/3, -7}
• {5, -61/9}
• {37/4, -9}

Solve:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}