Solving Absolute Value Equations

Define Absolute Value.

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number
• The positive value of a number.

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.

Fill in the blank such that |v + 8| − 5 = 2  becomes true: v = _____.

if there is more than one answer separate with a comma.

−2|−2r − 4| = -12

• {-5,1}

• {-5,-1}

• {-5}

• No Solution

 |−2n| + 10 = −50

n = _____

For multiple answers separate with a comma

Solve: ∣ 2x + 9 ∣ = 15

x =_____

For multiple solutions separate with a comma.

| 3x - 6 | - 9 = -3

• No Solution
• x = 0 and x = 4
• x = 2 and x = -2
• x = -4 and x = 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• no solution
• one solution
• two solutions

• no solution
• one solution
• two solutions