Problem sets and exams

Almost every other Wednesday, starting on July 26, 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 June 6 or 7, but this page is not about that.) Unless otherwise specified, all exercises in the problem sets are from the 10th Edition of Algebra & Trigonometry written by Sullivan and published by Prentice-Hall (Pearson).

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

Exam 1:
- Date taken: April 16 or 17.
- Review exercises: from the Chapter 1 Review (pages 145&146): 2, 3, 5, 10, 28, 30, 36, 40, 41, 44, 46, 49.
- Exercises from Section 2.1 (pages 154–157): 4, 15, 16, 19, 21, 23, 27, 31, 37, 41, 45, 46, 63, 71.
- Exercises from Section 2.2 (pages 164–167): 1, 2, 7, 13, 17, 23, 29, 31, 34, 35, 41–48, 53–56, 61, 67, 71, 77, 85.
- Exercises from Section 2.3 (pages 178–182): 2, 13–19 odd, 25, 26, 29–32, 39, 45, 47, 51, 57, 61, 68, 69, 74, 79, 85–88 (some of these are trick questions), 105, 107.
- Exercises from Section 12.1 (pages 854–858): 1, 11, 19, 21, 27, 31, 45, 47, 65, 73, 88.
- Exercises from Section 3.1 (pages 210–213): 1, 3, 4, 8, 31, 35, 36, 43, 49, 51, 53, 55, 59, 61, 67, 75, 77, 95.
- Exercises from Section 3.2 (pages 218–223):
  - 5, 11, 12, 14–17, 25, 27, 31, 41, 43, 44.
  - Extra credit: Give a reason for your answer to the first question: 42.
Exam 2:
- Date taken: April 30 or May 1.
- Exercises from Section 3.3 (pages 232–236): 2, 3, 5, 13–24, 29–36, 37, 39, 43, 47, 65, 67, 71.
- Exercises from Section 3.6 (pages 263–266): 1.a–c, 3.a, 5, 11.a&b, 13, 15, 19.a, 22.a–c, 24.
- Exercises from Section 4.1 (pages 280–283): 2, 4, 8, 9, 13, 18, 19, 21–27 odd, 33, 34, 37, 47, 49.
- Exercises from Section 3.4 (pages 244–247): 1, 2, 10, 11–26, 27, 29, 31, 33, 35, 43, 45, 49.
- Exercises from Section 6.1 (pages 408–410): 1, 2, 3, 9, 11, 15, 19, 25, 27, 29, 33, 55, 56.
- Exercises from Section 6.2 (pages 419–423):
  - 3, 4, 7, 8, 9, 12, 21, 23, 25, 37, 39, 43, 45, 47, 49;
  - You may skip the graphs on these: 53, 55, 57, 63, 65, 67, 69;
  - 77, 79, 81, 89.
- 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.]
Exam 3:
- Date taken: May 14 or 15.
- Exercises from Section 3.5 (pages 256–260):
  - 3, 5–26, 27, 29, 31–36;
  - Be sure to show all stages, including the untransformed original: 39, 43, 45, 47, 49, 55;
  - 63, 64, 87, 88.
- Exercises from Section 4.3 (pages 299–302): 1–4, 12–20, 21, 23, 25, 27, 33, 39, 43, 45, 51, 53, 57, 59, 97.
- Exercises from Section 4.4 (pages 307–311): 1–9 odd, 11.a–c, 13, 15, 17, 31.
- Exercises from Section 6.3 (pages 434–439):
  - 1, 13, 14;
  - Optional, to practise with your calculator: 19–25 odd;
  - 27–33 odd, 35–42, 43, 45, 49, 51, 55, 57, 59, 63, 65, 69–77 odd, 81, 83, 89–92.
- Exercises from Section 6.4 (pages 448–452):
  - 1.a, 9, 11–26, 27–37 odd, 39, 43;
  - Optional, to practise with your calculator: 51–57 odd;
  - 65–72, 73, 79, 83, 86, 89–111 odd, 119, 129–132.
- Exercises from Section 6.5 (pages 459&460):
  - 7, 11, 13, 15, 17, 19–27 odd, 37–57 odd, 61–69 odd;
  - Optional, to practise with your calculator: 71–77 odd;
  - 87, 91, 97.
- Exercises from Section 6.6 (pages 465–467): 1, 2, 5–9, 13–25 odd, 31, 35, 39, 41, 45, 53, 57.
- Additional extra-credit exercise: Following Example 4.4.1 on pages 302–304, suppose that the cost of producing x calculators is C = 200 000 + 50x dollars.
  1. Find the profit P = R − C as a function of either x or the price p.
  2. 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.)
  3. What is this maximum profit?
Exam 4:
- Date taken: May 30 or 31.
- Exercises from Section 6.7 (pages 474–477): 1, 2, 7, 11, 13, 15, 21, 31, 32, 41, 43.
- Exercises from Section 6.8 (pages 486–488): 1, 3, 5.b&c, 7.b, 9–21 odd, 23.a,c,d.
- Exercises from Section 3.4 (pages 244–247): use a graphing calculator, or make a table of values using at least x = −2, −1, −1/2, 0, 1/2, 1, 2): 68, 69.
- Exercises from Section 5.1 (pages 338–342):
  - 1, 2, 3, 6, 12, 17–24, 29, 31, 35;
  - Use 1 as the leading coefficient: 43, 45, 49;
  - 51, 57–60, 67–72;
  - Use 1 as the leading coefficient and leave your answer in factored form: 73, 74;
  - Skip Step 4 (turning points): 81, 82, 87, 88.
- Exercises from Section 5.5 (pages 386–389):
  - 1–4, 11, 15, 19, 33–38, 45, 51, 53, 57, 59, 65, 67, 93, 99, 101.
  - Extra credit (after reading Subsection 5.5.7 on pages 384&385): Show each approximation along the way (m₁, m₂, m₃, etc) and what numerical calculations you make to find and test them: 119.
- Exercises from Section 5.6 (pages 394&395):
  - 1, 2, 7–16;
  - Use 1 as the leading coefficient: 17, 19, 21;
  - 23, 27, 33, 37, 44–47.
- Exercises from Section 5.2 (pages 350–353): 2, 3, 4, 15–19, 23, 27–32, 35, 45, 47, 49, 50.
- Exercises from Section 5.3 (pages 365–368): 1, 5, 7–11, 17–23 odd, 31, 33, 35, 51–54.
- For Section ES32 only: Exercises from Section 5.4 (pages 372–375): 1, 5–8, 9, 13, 15, 19, 21, 23, 27, 29, 33, 37, 39, 41, 43.

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