Absolute Value Equations

3|2d + 9| + 13 > 10

• d > 5 or d < -1

• d < -4 or d > 5

• No Solution

• All real numbers

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

What is the first step?

• Drop the absolute value bars by splitting into two equations

• Add 2 to both sides

What is the correct way to write the answer? 

• x = -2 AND x = 6

• x = -2 OR x = 6

What is the first step? 

• Drop the absolute value bars by splitting into two inequalities 

• Drop the absolute value bars and subtract 7 from both sides

After you split into two inequalities, what would they look like?

• x + 7 > 1        
     
  x + 7 > -1

• x + 7 > 1

• x + 7 > 1
  X + 7 < -1

What is the correct way to write this answer? 

• x < - 8 OR x > - 6

• x < - 8 AND x > - 6

• -8 < x < 6

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

What is the equation of the graph below?

• f(x) = I x I + 1

• f(x) = I x I - 1

• f(x) = -I x I + 1

• f(x) = -I x I - 1