Question

1. Simplify the following problem using the distributive property: 2x + 3y + 2(x – y) – 3x. Show each step in your calculation. Justify each of your steps using number properties.

Answer 1

2x + 3y +2(x-y) - 3x
2x + 3y + 2x - 2y - 3x ( get rid of the bracket by multipling 2 by the x -y)
2x + 2x - 3x + 3y - 2y ( group like terms)
x + y (final answer)