Solving Absolute Value Equations
A number's Absolute value is its distance from zero on the number line. As we know a distance is always going to be positive, so when we transition to an absolute value equation, we can think of what numbers absolute values have. The Absolute Value Principle for equations is, for any positive number c and any algebraic expression x:
1. The solutions of ꟾxꟾ = c, are those numbers that satisfy x = -c or x = c.
2. The equation ꟾxꟾ = 0, is equivalent to the equation x = 0.
3. The equation ꟾxꟾ = -c has no solutions.
Here are the steps we are going to take to solve absolute value of equations:
1. Isolate the absolute value.
2. Set up and solve two equations based upon the absolute value principle.
3. Lastly we will check answers.
1. What is the value of x in ꟾxꟾ = 5 ?
2. Can you solve ꟾxꟾ = - 5 ?
3. What is the difference between ꟾxꟾ = 0 and x = 0 ?
Learn Solving Absolute Value Equations Online One on One
Struggling with Absolute Value Equations? Need help for homework? You are not the only one. Fortunately our experts in Absolute Value Equations are online now and are ready to help.