Absolute Value Equations & Inequalities

Which of the following defines 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

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 4x−3 l = 17

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

Solve for x

l 3x + 2 l = 5

• x = -2 1/3 and x = 1

• x = 4 and x = 8

• x = 0

• 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

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

How many solutions does the equation have?

-5 = |g+8|

• no solution

• one solution

• two solutions

How many solutions does the equation have?

|c - 7| = 2

• no solution

• one solution

• two solutions

How many solutions does the equation have?

4|m| = -20

• no solution

• one solution

• two solutions