Question

Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2.

Expression 1: 22r−13

Expression 2: 19r+(3r−2)−11

(2 points)

Answer 1

19r + (3r − 2) − 11
= 19r + 3r − 2 − 11 (remove parentheses; treat subtraction as adding negatives)
= (19r + 3r) + (−2 − 11) (associative property: regroup terms)
= 22r + (−13)
= 22r − 13.

Thus Expression 2 equals Expression 1.