Abby, Bill, Carol, D’Angelo and Ethan are comparing the amount of pencils that they each have.
Abby has A pencils.
Bill has 3 less than twice as many as Abby.
Carol has 4 less than the number of Abby’s pencils squared.
D’Angelo has 8 more than half as many pencils as Abby.
Ethan has half as many as Abby’s pencils squared.
Part 1:
Write an expression for each child to show their number of pencils in terms of the number of pencils that Abby
has (A).

Part 2:
Write an expression for the total number of pencils that all of the students have. After you write the expression,
simplify it.

Part 3:
If Abby had 4 pencils how many pencils does each student have? How many pencils are there total? Show your
work.

Part 4:
If each student doubled their amount of pencils, write an expression to show the total number of pencils in terms
of the number of pencils that Abby has (A). After you write the expression, simplify it. Then find the total
number of pencils.

Part 5:
Write an explanation about how you solved Part 4.