Algebra 2 Quiz - Absolute Value Equations

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 from zero, distance is always measured by positive numbers.

Solve for x
3 l 4w−1 l −5 = 10

• x = 1.5 and x =-1
• x = -1.5 and x = 1
• x =1 and x = -1
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x

18 = 2 lx−4l + 8

• x = 9 and x =-1

• x = 1 and x = -9

• x= 4 and x = -2

• No Solution

-5 = |8 − p| - 11

• p = -2, -14

• p = -14, 2

• p = -2, 14

• p = 2, 14

|3x - 9| = x + 1

• c = -5, 2

• c = 2, 5

• c = 5, -2

• c = -2, -5

An absolute value can NOT equal...

• a positive number

• a negative number

• a fraction

• an integer

|−4 + 5x| = 16

• {16/5,12/5}
• {4,-5}
• {-12/5, 4}
• 4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

∣ 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

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• 2,6

• -2,-6

• -6,2

• -2,6