Absolute Value Equations

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

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

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution

Tags

CCSS.7.EE.B.3

Solve for x

l x−1l=5x + 10

• Only x= -9/6

• x = -9/6 and x = -11/4

• x=11/4

• No Solution

Solve for x

l 2x−3 l = 4x−1

• x = 2/3 and x = -1/2

• Only x = -1/2

• Only x = 2/3

• No Solution

Evaluate each expression.

| x + 9 | = -5

• x = -14

• x = -4

• x = -14 and x = -4

• no solution

| x – 3 |= 0

• x = 3

• x = -3

• x = 3 and x = -3

• no solution

Solve |2x –3| + 5 =10.

• x = -1 and x = 1

• x = -1 and x = 4

• x = -1 and x = -4

• x = 1 and x = 4

−2|−2r − 4| = -12

• x = 5 and x = 1

• x = -5 and x = -1

• x = -5 and x = 1

• No Solution

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.