absolute value equations/inequalities

Solve

• 2

• -2

• 6

• -6

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.

Tags

CCSS.6.NS.C.7C

| –12 | – | 8 |

• 4
• -4
• 30
• -20

Tags

CCSS.7.NS.A.1C

∣ 2x + 9 ∣ = 15

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

True or False: Is x = 4 a solution to |x + 5| = -9

• True
• False

Solve for x
l 5x l = 40

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

Tags

CCSS.6.NS.C.7C

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

• -14
• -4
• {-14, -4}
• no solution

Solve.
|c + 4| < 5

• x < -9 or x > 1
• -9 < x < 1
• x < 9 or x > -1
• -1 < x < 9

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Solve.
|5x + 7| < 22

• x < -5 ⅘ or x > 3
• -5 ⅘ < x < 3
• -3 < x < 5 ⅘
• x < -3 or x > 5 ⅘