Absolute Value Equations

Match the following

• x = 5, -5

• |x+2| = 6

• x = 1, 5

• |x-3| = 2

• x = 2, -2

• x = 4, -8

• |x| = 5

• No Solution

• |2x| = 4

Solve for x:

|2x-3| = 5

Choose two answers!!

• 4

• -1

• 1

• -4

• 2

Solve for x. Write your answer with a comma between both numbers.

2|x-4| = 6

Match the following

• x = 1, -1

• |2x| = -2

• x = 5, -1

• 2|x| = 2

• x = -20, 20

• |x| = 5

• No Solution

• x = 3, 9

• 4

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Solve for x
l 5x l = 40

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

Solve for x
l 2x−1 l = 9

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

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5
• x = 2 and x = -1
• x = -2 and x = 9
• No Solution

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

• -14
• -4
• {-14, -4}
• no solution

• no solution