Solving Absolute Value Equations

Absolute value is

• using the distributive property

• the opposite of a number

• distance a number is from zero

• the best thing ever

The absolute value can never equal

• the same thing

• the opposite number

• a positive number

• a negative number

Tags

CCSS.6.NS.C.7C

| –3 |

• 3
• -3
• 0.30
• 30

Evaluate the expression.
|–5| + 8

• 3
• 13
• -13
• -3

If |Ax + b| = c then

• Ax + b = c OR Ax + b = -c

• Ax + b = c OR x = -b

• Ax + b = c OR x = -c

• No Solution

∣ 2x + 9 ∣ = 15

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

Tags

CCSS.6.NS.C.7C

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Tags

CCSS.7.EE.B.3

|−4 + 5x| = 16

• {16/5,12/5}
• {4,-5}
• {-12/5, 4}
• 4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution