Problem sets and exams

Almost every other Monday, starting on October 22 (but on December 5 Wednesday the last time), there will be an exam during the last hour of the class period, closely based on an associated problem set. (There is also a final exam on December 12 Wednesday, but this page is not about that.) Unless otherwise specified, all exercises in the problem sets are from Algebra & Trigonometry written by Abramson and published by OpenStax.

Here are the exam dates and the associated problem sets (Exam 1, Exam 2, Exam 3, Exam 4, extra material): but anything whose assigned date is in the future is subject to change!

1. Exam 1:
• Date taken: October 22 Monday.
• From the Chapter 2 Review Exercises (pages 155–157): 13, 16, 23, 24, 27, 34, 41, 51, 61, 66.
• Exercises from Section 2.1 (pages 84–86): 1, 5, 7, 17, 19, 23, 25, 31, 33, 39, 54, 63.
• Exercises from Section 2.2 (pages 100&101): 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 55.
• Exercises from Section 11.1 (pages 889–891): 7, 9, 11, 13, 21, 23.
• Exercises from Section 11.2 (pages 899–902): 7, 11, 17, 55.
• Exercises from Section 11.3 (pages 911&912): 7, 9, 11, 17.
• Exercises from Section 3.1 (pages 176–179): 9, 11, 13, 15, 17, 19, 27, 29, 35, 37, 39, 41, 43, 45, 47, 53, 55, 57, 66, 67, 75, 89, 91.
• Additional extra-credit exercise: Can the graph of a function consist of a single point in the coordinate plane? Explain why or why not, giving an example if possible.
2. Exam 2:
• Date taken: November 5 Monday.
• Exercises from Section 3.2 (pages 193–195): 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 31, 33, 39, 41, 43, 45, 49.
• Exercises from Section 3.5 (pages 243–246): 5, 47, 49, 51.
• Exercises from Section 3.3 (pages 206–208): 2, 5, 7, 17, 19, 21, 23, 25, 27, 29, 31, 43, 45.
• Exercises from Section 3.4 (pages 218–221): 1, 4, 5, 11, 19, 23, 43, 45, 47, 49, 59, 61, 63, 65, 81, 91.
• Exercises from Section 3.7 (pages 264–266): 5, 7, 9, 11, 13, 17, 25, 27, 29, 33, 35, 37, 39, 41, 45.
• Exercises from Section 4.1 (pages 304–308): 1, 3, 7, 9, 11, 13, 29, 64, 65, 66, 67, 68, 69, 77, 79, 81, 83, 89, 91, 93, 95, 117.
• Exercises from Section 4.2 (pages 317–321): 9, 13, 15, 39, 45.
• Additional extra-credit exercises: Consider a linear function f(x) = mx + b. Answer these questions about the function with generic answers that may refer to m and b:
1. What are the domain and range of f?
2. Is f even or odd (or both or neither)?
3. What (if any) are the zeroes/roots of f?
4. What (if anything) is the initial value of f?
5. Where (if anywhere) is f increasing, where decreasing, and where constant?
[To clarify what I'm looking for, here is my answer to (1):
1. The domain of f is the set of all real numbers. The range of f is also the set of all real numbers, if m ≠ 0; however, if m = 0, then the range of f is {b}.
Now you should answer (2)–(5) in a similar way.]
3. Exam 3:
• Date taken: November 19 Monday.
• Exercises from Section 3.5 (pages 243–246): 1, 3, 7, 9, 11, 13, 15, 17, 19, 27, 29, 33, 35, 37, 39, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 79, 81.
• Exercises from Section 5.1 (pages 357–359): 1, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29, 35, 37, 41, 43, 67, 69, 71, 73, 75.
• Exercises from Section 6.1 (pages 476–478): 23, 25, 27.
• Exercises from Section 6.2 (pages 488–490): 11, 19, 21, 27, 39, 41, 43.
• Exercises from Section 6.3 (pages 497&498):
• 3, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53;
• Optional, to practise with your calculator: 55, 57.
• Exercises from Section 6.4 (pages 513–515): 1, 7, 9, 11, 13, 15, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45.
• Exercises from Section 6.5 (page 525):
• 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 31;
• Optional, to practise with your calculator: 33, 35, 37.
• Exercises from Section 6.6 (pages 535–536): 2, 5, 7, 9, 11, 13, 15, 17, 19, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49.
• Additional extra-credit exercise: Following Example 5.1.6 on page 352 of the textbook, suppose that the cost of printing and delivering a newspaper for a quarter year is 20 dollars.
1. Express the cost C (in dollars) of printing and delivering Q papers for a quarter as a function of either Q or the quarterly subscription price of p dollars. (Remember that Q = 159 000 − 2500p in this example.)
2. Find the profit P = R − C (where R is the revenue pQ) as a function of either Q or p.
3. What price will produce the maximum profit, and what quantity will be produced and sold at that price? (Show what numerical calculations you make or what equations you solve.)
4. Exam 4:
• Date taken: December 5 Wednesday.
• Exercises from Section 6.1 (pages 476–478): 15, 17, 31, 37, 39, 41, 59.
• Exercises from Section 6.7 (page 549–551): 29, 31, 33, 37, 39, 41, 43, 45.
• Exercises from Section 5.2 (pages 372–374): 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41.
• Exercises from Section 5.3 (pages 390–392): 7, 9, 11, 13, 15, 17, 19, 25, 27, 31, 33, 35, 37, 39, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61.
• Exercises from Section 5.4 (pages 400&401): 1, 15, 17, 19, 21, 23, 37, 39, 41, 43.
• Exercises from Section 5.5 (pages 412&413): 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 57, 59, 67, 69.
• Exercises from Section 5.6 (pages 431–434): 7, 9, 11, 13, 15, 17, 19, 21, 23, 31, 33, 39, 41, 43, 45, 75, 77, 79.
• Extra credit: Notice that the polynomial x3 + x + 1 cannot be factored. Nevertheless, the equation x3 + x + 1 = 0 has a solution. Read about the cubic formula and use it to give an exact real solution to that equation, expressed using radicals.
5. No exam:
That's it!
Go back to the the course homepage.
This web page was written between 2003 and 2018 by Toby Bartels, last edited on 2018 December 17. Toby reserves no legal rights to it.

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