Vance finds 8 + 6 by using derived facts.  Write a series of equations describing what Vance might have done.  For each question, give a brief 1-sentence explanation for why each step is valid, including the Associative and/or Commutative Properties of Addition.

Q: Susan's income can be calculated as $12 times the number of hours worked (h) added to her other…

A: The equation of susane's income can be modelled as,

Q: online media store, downloaded songs cost $3d each and books cost $9b each. Caleb purchased 15 songs…

A: We will write the total expression.

Q: Devynn eams 2 dollars for each pile of leaves she bags, X, and 5 dollars for helping. Create an…

A: Create an expression with a variable term,operation and a constant to represent this situation.

Q: Pick the expression (X+4). Follow steps below and write your result in your introductory post. Show…

A: Add 4:  (x+4)+4=x+4+4=x+8 Multiply by 6: 6(x+8)= 6x+48 Subtract 12: 6x+48-12=6x+36

Q: Elena is  considering a venue for a party.  Let g represent the number of her guests.  Each venue…

A:

Q: Sal paid (x+2y) cents for a quart of milk and (2x+y) cents for three cartons of orange juice. Write…

A: To find the expression for total cost of Sal’s purchases.

Q: Riley and Rhonda plan to buy to buy several bags of dog food and a dog collar.Each bag of dog food…

A: Given Information - Cost of each bad of dog food = $7 Cost of each dog collar = $5 We have to write…

Q: The length of a rectangle is 7 inches shorter than twice the width (x). Which is an expression for…

A: Given : The length of a rectangle 7 inches shorter than twice the width x

Q: Jon decides to take his seven year old son to the movies. The price for the child's ticket is 3.75…

A: The price for child's ticket is 3.75 dollars less than the price of the adult's ticket. That is, The…

Q: The difference of 12 and a number w plus 8

A: