www.VirtualNerd.com

What are Equivalent Expressions?

Definition: Equivalent Expressions

Summary

  1. 'x' is a variable
  2. In other words, if we choose an 'x' value, and plug that value into both expressions, then the two expressions will be equal
  3. These equations are equal, so they have the same value for any value of 'x'
  4. Having the same value for any value of 'x' is our definition of equivalent expressions, so these expressions are equivalent
  5. We can show they are equal by FOILing

Notes

    1. 'x' is a variable
    2. In other words, if we choose an 'x' value, and plug that value into both expressions, then the two expressions will be equal
    1. 'x' is a variable
    2. In other words, if we choose an 'x' value, and plug that value into both expressions, then the two expressions will be equal
    1. 'x' is a variable
    2. These two expressions are equivalent, but why?
    3. The left expression is equal to the right expression, so they will have the same value for any x!
    1. 'x' is a variable
    2. FOIL is a method we use to multiply two binomials