Absolute Value equations and inequalities

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

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.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 |x – 12| - 3 = 11.

• x = -2
  x = -26
• x = -2
  x = 26
• x = 3
  x = 25
• x = 4
  x =  -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.REI.A.1

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.

Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6

• -2, I8I, 5, I-10I, 6
• -10, -2, 5, 6, 8
• -2, 5, 6, 8, 10
• I-10I, -2, 5, 6. I8I

Tags

CCSS.6.NS.C.7

5∣ x ∣ - 8 = 2

• x = 5
  x = 2
• x = 2
  x = -2
• x = -5
  x = 10
• x = 18
  x =  -18

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3