Absolute Value in Equations

Solve for x: 0.5|x + 14| - 3 = 7

• x = -6 or x = -22

• x = 6 or x = -34

• x = -9 or x = -19

• No Solution

What is the first step in solving this equation: 3|2x + 1| = 6

• Subtract 1

• Divide by 3

• Split into two parts with one part = 6 and one part = -6

• Divide by 2

What is the solution set to the equation below?

• no solution

• { 5 }

• { -5, 5 }

• { 0 }

Tags

CCSS.HSA-REI.B.4B

• {-24, 24}

• {-3/2, 3/2|

• {-10, 10}

• no solution

What is the solution to the equation |5 - x| = 3?

• x = 2 or x = 8

• x = 2 or x = -2

• x = 5 or x = -2

• x = 5 or x = 8

Find the solution to the absolute value equation: |2 - 5x| = 10

• x = -3/5, 5/5

• x = -2/5, 4/5

• x = -8/5, 12/5

• x = -1/5, 3/5

• -70, -80

• -55, -60

• -50, 20

• 45, 25

Solve the equation: 
|2x - 5|=3

• x=1,x=4

• x=2,x=4

• x=2, x=5

• x=1

• x = 2 or x =-6
• x = -2 or x =6
• x = 2 or x =-2
• No Solutions

How many solutions does the following equation have?

47 + 4| x - 3 | -47 = 4

• Zero

• One

• Two

• Four