Absolute Value Equations Practice

Absolute value bars make everything ​ ​ ​ (a)  

• positive
• negative
• equal
• two equations
• true

When solving absolute value EQUATIONS, first ​ (a)   , then ​ (b)   , then ​ (c)  

• isolate the absolute value bars
• split into two equations
• solve both equations
• undo the adding or subtracting
• undo the equals sign

Match the following

• two solutions

• no solution

• one solution

Match the following

• x = 3, x = -7

• x = 3

• no solution

• x = -7

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.

Reorder the following steps for solving an absolute value equation.

• Isolate the absolute value expression on one side of the equation.

• Split into two different equations, one + and one -

• Solve for x in each instance

• If |expression| = negative #

  STOP! No solution

Match the following

• x = 1, 5

• |x-3| = 2

• x = 4, -8

• |2x| = 4

• x = 5, -5

• No Solution

• |x| = 5

• x = 2, -2

• |x+2| = 6

Match the following absolute value equations to either No Solution or Two Solutions

• No Solution

• No Solution

• Two Solutions

• Two Solutions

• Two Solutions

|v + 8| − 5 = 2 

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

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution