Absolute Value Equations

Evaluate each expression.

| x + 9 | = -5

• -14

• -4

• -14, -4

• no solution

| x – 3 |= 0

• 3

• -3

• -3, 3

• 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 |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

• 4, -4

• 9, -9

• 5, -9

• 13, -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.

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

|−2n| + 10 = −50

• 30, -30

• 20,-20

• -5,5

• No Solution

Solve | 3x - 6 | - 9 = -3

• No Solution

• x = 0 or x = 4

• x = 2 or x = -2

• x = -4 or x = 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3