Solving Absolute Value Equations

|v + 8| − 5 = 2 

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

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Solve for k. |6 - 2k| = 18

• k = -6, k = 6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

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.

What's a way to 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

8|-2x + 4| = 96

• x = -4, x = 8
• x = -4
• x = -4, x = -8
• x = 4, x = 8

How many solutions does the following equation have?

0 = -6|9v - 7|

• no solution

• one solution

• two solutions

solve for z.

|-4z|=7

• -7/4, 7/4

• -7/4

• 11, 3

• -11, -3

What is the absolute value of |-26|.

• 26
• -26
• 0
• -20