Equations With Absolute Value

|3m - 9| = 18

• m = 9,-3

• m = 9,3

• m = 9

• no solution

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, -6

• x = 3, -12

• x = 6, -12

Solve |x – 12| = 14.

• x = -2, -26

• x = -2, 26

• x = 3, 25

• x = 4, -7

Solve for r.

|−2r − 4| = 6

• r = 5,1

• r = -5,-1

• r = -5,1

• No Solution

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

|a - 5| = 11

• a = 16

• a = 16, -6

• a = 16, 6

• no solution

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

Solve the absolute value equation. 

• {7}

• {-7, 7}

• {0, 7}

• No Solution

Solve for x
l 5x l = 40

• x = 8 and x =-8

• x = 35 and x = -35

• Only x = 8

• No Solution