Absolute Value Linear Equations

∣ 2x + 9 ∣ = 15

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Example: Solve |3x - 4| = 14

Split into 3x - 4 = 14 and 3x - 4 = -14

Solve both equations

Solutions: x = 6 and x = -3 1/3

• x = 3

• x = 3

  x = -6

• x = 3

  x = -12

• x = 6

  x = -12

Find the solution to the absolute value equation: |2 - 5x| = 10

• x = -3/5, 5/5

• x = -2/5, 4/5

• x = -8/5, 12/5

• x = -1/5, 3/5

• -70, -80

• -55, -60

• -50, 20

• 45, 25

Solve the equation: 
|2x - 5|=3

• x=1,x=4

• x=2,x=4

• x=2, x=5

• x=1

What is the solution to the equation |4 - x| = 2?

• x = 2 or x = 6

• x = 2 or x = -2

• x = 4 or x = -2

• x = 4 or x = 6

• x = 5 or x = -5

• x = 5 or x = -1

• x = 5 or x = 1

• x = -5 or x = -1

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

Solve the absolute value equation: |7x - 2| = 4

• x = 1, x = -2/7

• x = 4, x = -1/7

• x = 2/7, x = -1

• x = 1/7, x = -4

How many solutions does the following equation have? 3| x + 3 | -3 = -3

• One

• Two

• Three

• Zero

• -50, 20

• -45, 30

• 5, 25

• 0, 35