Absolute Value Equations

∣ 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

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Tags

CCSS.8.EE.C.7

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|v + 8| − 5 = 2 

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• {4, -4}
• {9, -9}
• {5, -9}
• {13, -1}

Tags

CCSS.HSA.REI.A.1

• {80/9, -8}
• {7, -3}
• {8, -39/4}
• {-11/3, 9}

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for a. |2a - 10| = 6

• a = 8, a = 5

• a = 8

• a = 8, a=-2

• a = 8, a = 2

Tags

CCSS.6.NS.C.7C

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution

Tags

CCSS.8.EE.C.7