Problem sets and exams

Almost every Tuesday (before Labor Day) or Wednesday (after Labor Day), there will be an exam during the last hour of the class period, closely based on an associated problem set. (However, there is no exam in the first week of the course, and there is an additional final exam on Friday in the last week.) Unless otherwise specified, all problems are from the 10th Edition of Algebra & Trigonometry written by Sullivan and published by Prentice-Hall (Pearson).

Here are the exams and their associated problem sets (Exam 1, Exam 2, Exam 3, Exam 4):

Exam 1:
- Date taken: August 23 Tuesday.
- Review problems: from the Chapter 1 Review (pages 145&146): 2, 3, 5, 10, 28, 30, 36, 40, 41, 44, 46, 49.
- Extra-credit essay question: Explain your background in mathematics and what you are going to use this course for.
- Problems from Section 2.1 (pages 154–157): 4, 15, 16, 19, 21, 23, 27, 31, 37, 41, 45, 46, 63, 71.
- Problems 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.
- Problems 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.
- Problems from Section 12.1 (pages 854–858): 1, 11, 19, 21, 27, 31, 45, 47, 65, 73, 88.
- Problems 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.
- Problems from Section 3.2 (pages 218–223): 5, 11, 12, 14–17, 25, 27, 31, 41, 43, 44.
- Problems from Section 3.3 (pages 232–236): 2, 3, 5, 13–24, 29–36, 37, 39, 43, 47, 65, 67, 71.
Exam 2:
- Date taken: August 30 Tuesday.
- Problems from Section 3.6 (pages 263–266): 1.a–c, 3.a, 5, 11.a&b, 13, 15, 19.a, 22.a–c, 24.
- Problems from Section 4.1 (pages 280–283): 2, 4, 8, 9, 13, 18, 19, 21–27 odd, 33, 34, 37, 47, 49.
- Additional extra-credit problems: Consider a linear function f(x) = mx + b. Answer these questions about the function with generic answers that may vary with 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. Where (if anywhere) is f increasing, where decreasing, and where constant?
  5. Where (if anywhere) does have f local extrema, and what are their values?
- Problems from Section 3.4 (pages 244–247): 1, 2, 10, 11–26, 27, 29, 31–36, 43–46, 49.
- Problems from Section 6.1 (pages 408–410): 1, 2, 3, 9, 11, 15, 19, 25, 27, 29, 33, 55, 56.
- Problems from Section 6.2 (pages 419–423):
  - 3, 4, 7, 8, 9, 12, 21–26, 37, 39, 43, 45–50;
  - You may skip the graphs on these: 53, 55, 57, 63–69 odd;
  - 77–82, 90.
- Problems 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.
Exam 3:
- Date taken: September 7 Wednesday.
- Problems from Section 4.3 (pages 299–302): 1–4, 12–20, 21, 23, 25, 27, 33, 39, 43, 45, 51, 53, 57, 59, 97.
- Problems from Section 4.4 (pages 307–311): 1–9 odd, 11.a–c, 13, 15, 17, 31.
- Additional extra-credit problem: Following Example 4.4.1 on pages 302–304, suppose that the cost of producing x calculators is C = 200 000 + 50x.
  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?
- Problems 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.
- Problems 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.
- Problems from Section 6.5 (pages 459&460):
  - 4–7, 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.
- Problems from Section 6.6 (pages 465–467): 1, 2, 5–9, 13–25 odd, 31, 35, 39, 41, 45, 53, 57.
- Problems from Section 6.7 (pages 474–477): 1, 2, 7, 11, 13, 15, 21, 31, 32, 41, 43.
- Problems from Section 6.8 (pages 486–488): 1, 3, 5.b&c, 7.b, 9–21 odd, 23.a,c,d.
Exam 4:
- Date taken: September 14 Wednesday.
- Problems 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.
- Problems 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.
- Problems 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: Show each approximation along the way (m₁, m₂, m₃, etc) and what numerical calculations you make to find and test them: 119.
- Problems 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.
- Problems from Section 5.2 (pages 350–353): 2, 3, 4, 15–19, 23, 27, 27–32, 35, 45, 47, 49, 50.
- Problems from Section 5.3 (pages 365–368): 1, 5, 7–11, 17–23 odd, 31, 33, 35, 51–54.
- Problems 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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This web page was written between 2003 and 2016 by Toby Bartels, last edited on 2016 August 24. Toby reserves no legal rights to it.

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