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, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• No Solution

Tags

CCSS.6.NS.C.7C

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

−2|−2r − 4| = -12

• {5,1}

• {-5,1}

• {-5, -1}

• No Solution

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve for x

3 l 4w−1 l −5 = 10

• x = $\frac{3}{2}$ and x =-1

• x = $-\frac{3}{2}$ and x = 1

• x =1 and x = -1

• No Solution

Solve for x
l 2x−3 l = 4x−1

• x = $\frac{2}{3}$    and x =  $-\frac{1}{2}$  

• Only x =  $-\frac{1}{2}$  

• Only x =  $\frac{2}{3}$ 

• No Solution