1. Multiply the following polynomials using a rectangular area model. Label each of the
original polynomials and resulting components in your diagram. Clearly indicate how your
diagram shows the solution. Write your solution in lowest terms.
(n + 4) • (5n + 2)

5. Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour.
a. Write two equations, one for each worker, relating hours worked and parts made.
Label each variable.
b. If the workers work at a steady rate throughout the day, who is more productive,
Ava or Bob? Briefly explain how you know.

7. Consider the following story problem: Lizeth left her apartment for a coffee shop. She
walked down University Avenue for three blocks at a constant rate, then instantly began jogging
at a constant rate for three more blocks. Halfway to the coffee shop, she realized that she forgot
to lock her apartment! She immediately turned and sprinted back towards her apartment at a
constant rate. She caught her breathe for a few moments as soon as she arrived home while
locking her door. To ensure she would not be late to meet her Chrissy, she immediately sprinted
to the coffee shop at a constant rate.
a. Graph the relationship between Lizeth’s position from apartment and time.
b. Graph the relationship between Lizeth’s distance traveled and time. Use the same scale
as in part (a), and put part (b) right under (a).

DETAILED ASSIGNMENT

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