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

- Arithmetic:
- Date taken: July 31 Tuesday.
- Exercises from Section 1.2 (pages 37–39): 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 107, 109, 111, 127, 129, 131, 133, 135, 149, 151, 153, 155, 157, 163, 165, 167, 169, 171, 173, 175, 177;
- Exercises from Section 6.2 (pages 697–700): 91, 93;
- Exercises from Section 6.5 (pages 744–747): 365, 367, 369;
- Exercises from Section 6.7 (pages 775–778): 501, 503.a, 509.a, 511.a, 513, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 585;
- Exercises from Section 1.8 (pages 139–141): 659, 661, 663, 665, 667, 669;
- Exercises from the Chapter 1 review exercises (pages 183–195): 1041, 1043, 1045, 1047, 1049, 1127, 1129, 1131, 1133, 1135, 1137, 1251, 1253.
*Extra-credit*exercise: One of the properties of exponents is that*a*^{rs}= (*a*^{r})^{s}, whenever*a*is a real number and*r*and*s*are integers, as long as the operations are defined (so that 0 is never raised to the power of a negative number). But in this class, we also allow 1/2 as an exponent (where*x*^{1/2}is the principal square root of*x*). Find a real number*a*, a number*r*that is either an integer or 1/2, and another number*s*that is either an integer or 1/2, such that*a*^{rs}does*not*equal (*a*^{r})^{s}, even though the operations are defined in the real number system (so that 0 is never raised to the power of a negative number and a negative number is never raised to the power of 1/2).

- Expressions and equations:
- Date taken: August 14 Tuesday.
- Exercises from Section 6.1 (pages 683–686, PDF, DjVu): 1, 5, 9, 11, 13, 15, 17, 31, 33, 35, 37, 39, 41, 43, 45.
- Exercises from Section 6.2 (pages 697–700, PDF, DjVu): 99, 101, 105, 107, 115, 119, 121, 123, 125, 127, 129, 131.
- Exercises from Section 6.3 (pages 713–716, PDF, DjVu): 173, 175, 177, 179, 187, 189, 191, 199, 201, 203, 205, 237, 239, 267, 269.
- Exercises from Section 2.1 (pages 209–211, PDF, DjVu): 1, 3, 5, 7, 13, 15, 21, 29, 51, 53, 55, 75.
- Exercises from Section 2.2 (pages 223–225, PDF, DjVu): 77, 79, 81, 83, 87, 91, 93, 95, 97, 99, 113, 143, 147, 149, 173.
- Exercises from Section 2.3 (pages 234&235, PDF, DjVu): 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 199, 201, 203, 205, 207, 209, 211.
- Exercises from Section 2.4 (pages 246–248, PDF, DjVu): 233, 235, 237, 239, 241, 243, 245, 247, 249, 255, 257, 259, 261, 263, 265, 267, 269, 281, 293, 299, 301, 305, 307, 309.
- Exercises from Section 2.5 (pages 258&259, PDF, DjVu): 319, 321, 323, 329, 331, 333, 339, 341, 343, 345, 355, 357, 359, 361, 363, 365, 367, 373.
- Exercises from Section 2.7 (pages 282–284, PDF, DjVu): 435, 437, 439, 441, 447, 449, 451, 453, 467, 469, 471, 473, 475, 477, 479, 481, 493, 495, 497, 499, 501, 503, 505, 507, 509, 511.
- Extra-credit exercises:
Read my online notes on absolute-value problems
and then solve these equations and inequalites:
- |3
*x*+ 5| < 7. - |2
*x*− 9| ≥ 4. - |4
*x*+ 6| = 12.

- |3

- Word problems and graphing:
- Date taken: August 28 Tuesday.
- Exercises from Section 3.1 (pages 309–311, PDF, DjVu): 3, 5, 7, 9, 11, 13, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61.
- Exercises from Section 3.6 (pages 388–390, PDF, DjVu): 309, 311, 313, 315, 333, 335.
- Exercises from Section 3.2 (pages 326–329, PDF, DjVu): 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159.
- Exercises from Section 3.3 (pages 343–345, PDF, DjVu): 161, 163, 165, 179, 181, 183, 193, 195, 205.
- Exercises from Section 3.5 (pages 379–381, PDF, DjVu): 283, 285, 287, 305.
- Exercises from Section 2.6 (pages 267–269, PDF, DjVu): 377, 379, 389, 393, 397, 399, 405, 407, 409, 411, 413, 415, 417, 419, 427, 429.
- Exercises from Section 4.1 (pages 419–423, PDF, DjVu): 1, 3, 9, 11, 13, 15, 21, 23, 29, 31, 33, 35, 37, 39, 49, 53.
- Exercises from Section 4.2 (pages 441–443, PDF, DjVu): 55, 59, 61, 63, 65, 67, 69, 79, 81, 83, 85, 87, 89, 103, 105, 107, 109, 115.
- Exercises from Section 4.3 (pages 455–458, PDF, DjVu): 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 179, 181, 183, 185, 205, 209.
- Exercises from Section 4.4 (pages 480–485, PDF, DjVu): 227, 229, 231, 233, 243, 245, 247, 249, 251, 253, 255, 257, 263, 265, 267, 269, 271, 273, 279, 281, 283, 285, 287.
- Exercises from Section 4.5 (pages 507–511, PDF, DjVu): 289, 291, 293, 295, 297, 299, 301, 305, 307, 309, 311, 313, 315, 317, 319, 345, 353, 357, 363, 371, 375.
- Exercises from Section 4.6 (pages 525–529, PDF, DjVu): 387, 389, 403, 405, 411, 413, 415, 417, 419, 429, 431, 433, 435, 437, 455, 457, 471.
*Extra-credit*exercise: Draw a graph of the inequality 2*x*+ 3*y*> 4. Show enough work that I can see how you graphed the boundary line and include a brief explanation of why your boundary line is solid or dashed and why you shaded the region that you did. (Hint: Look at §4.7 of the textbook, pages 530–543, PDF, DjVu.)

- Dividing and factoring polynomials:
- Date taken: September 13 Thursday.
- Exercises from Section 6.5 (pages 744–747, PDF, DjVu): 357, 359, 361, 363, 375, 377, 411, 413, 415, 417, 439.
- Exercises from Section 6.7 (pages 775–778, PDF, DjVu): 521, 523, 525, 527, 529, 531, 535, 537, 539, 543, 545, 547, 549.
- Exercises from Section 6.6 (pages 758&759, PDF, DjVu): 443, 445, 447, 449, 451, 453, 455, 457, 475, 477, 479, 481, 495.
- Exercises from Section 7.1 (pages 801&802, PDF, DjVu): 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29, 31, 33, 37, 39, 45, 47, 49, 51.
- Exercises from Section 7.2 (pages 814&815, PDF, DjVu): 63, 65, 67, 75, 77, 79, 81, 83, 85, 87, 97, 99, 101, 131.
- Exercises from Section 7.3 (pages 831–833, PDF, DjVu): 189, 191, 193, 195, 197, 199, 203, 205, 207.
- Exercises from Section 6.4 (pages 727–729, PDF, DjVu): 303, 307, 309, 315, 323, 329, 331, 335, 339, 355.
- Exercises from Section 7.4 (pages 848&849, PDF, DjVu): 215, 217, 219, 229, 231, 233, 235, 237, 245, 247, 249, 251, 255, 257.
- Exercises from Section 7.5 (pages 859&860, PDF, DjVu): 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299, 301, 303, 305, 307, 309, 313, 314.
- Exercises from Section 7.6 (pages 874&875, PDF, DjVu): 315, 317, 319, 321, 323, 325, 327, 329, 331, 333, 335, 337, 339, 341.
- Exercises from Section 8.1 (pages 897–900, PDF, DjVu): 1, 3, 5, 7, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 57, 59, 61, 71.
- Exercises from Section 8.2 (pages 911–913, PDF, DjVu): 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 117, 119, 121, 123, 127.
- Extra-credit exercise:
Factor
*x*^{6}−*y*^{6}in two ways: first by treating it as a difference of squares (and then factoring further) and second by treating it as a difference of cubes (and then factoring further). Did you get the same result both times? Which way is easier? Explain briefly.

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