Question

Using the associative property, prove that these algebraic expressions are equivalent. In 1 sentence, explain your result.
Expression one: 22r - 13
Expression two: 19r + (3r - 2) - 11
Make it short

Answer 1

Using the associative property, we can rearrange Expression two: \(19r + (3r - 2) - 11 = 19r + 3r - 2 - 11 = (19r + 3r) + (-2 - 11) = 22r - 13\), thus showing that both expressions are equivalent.