Solving Absolute Value Equations

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|v + 8| − 5 = 2 

• {-15,-1}
• {-1,-5}
• {-15,15}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

8|-2x + 4| = 96

• x = -4, x = 8
• x = -4
• x = -4, x = -8
• x = 4, x = 8

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Solve the Absolute Value Equation

• x = 3
• x = 6
• x = 3 and x = -3
• x = 6 and x = -12

Solve and check for extraneous solutions. 2|x + 5| - 6 = 8

• No Solution
• x  = 12 and x = -2
• x = -12 and x = 2
• x = -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve for x:

|x+8|=|2x+1|

• 15, 18

• -3, 5

• 7, 4

• -3, 7

Solve for x:

4|p-3|=|2p+8|

• p=2/3, p=10

• p=5, p=6

• p= -2/3, p = 8

• p=6, p=10