Use properties and definitions of operations to show that the statement is true.

Question

Use properties and definitions of operations to show that the statement is true. Justify each step.

 

(3d+7)-d+5 = 2d+12

Answer 1

Do the work, as directed.  Throw off the parentheses and COMBINE LIKE TERMS.  (Parentheses aren't needed in this case because there is no factor to be distributed into the parenthesized quantities.)

 

When you finish, your left and right side expressions will be the same; this is an IDENTITY situation.

Answer 2

(3d + 7) - d + 5 = 2d + 12

3d + 7 - d + 5 = 2d + 12      parenthesis are nonfunctional

3d - d + 7 + 5 = 2d + 12      commutative of additi + 7 on

2d + 7 + 5 = 2d + 12           combine like terms

3d + 12 = 2d + 12               combine like terms