Absolute Value Equations

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.7.EE.B.3

∣ 2x + 9 ∣ = 15

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

Tags

CCSS.6.NS.C.7C

|v + 8| − 5 = 2 

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

−2|−2r − 4| = -12

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

Tags

CCSS.7.EE.B.3

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

• {24}
• {-6, -8}
• {16, 4}
• {24, -24}

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.REI.A.1

• {37/4}
• {20/3, -7}
• {5, -61/9}
• {37/4, -9}

Tags

CCSS.7.NS.A.1B

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.