# Reading homework and online problem sets

1. General review:
• Date due: August 29 Thursday.
• Section 1.1 (pages 1–7);
• Skim: Section 6.5 (pages 403–407);
• Skim: Section 7.1 (pages 433–439);
• Skim: Section 7.2 (pages 441–446);
• Skim: Section 7.3 (pages 449–453).
• Exercises due:
1. Fill in the blank: In the product (3x − 2)(x + 4) = 3x2 + 10x − 8, the polynomials (3x − 2) and (x + 4) are the _____ of the polynomial 3x22  +10x − 8.
2. Fill in the blank: The quotient of two polynomials is called a _____ _____.
• Exercises from the textbook due September 3 Tuesday on MyLab: 2.2.75, 5.3.53, 5.5.13, 6.1.95, 6.2.47, 6.4.45, 7.1.85.
• Date due: September 3 Tuesday.
• Reading from (mostly) the textbook:
• Exercises due:
• Fill in the blank: The _____ _____ _____ of two rational expressions is the lowest-degree polynomial that is a multiple of both of the original expressions' denominators.
• What is the least common denominator of 1/8 and 5/18?
• Exercises from the textbook due September 5 Thursday on MyLab: 7.4.13, 7.4.17, 7.4.19, 7.4.23, 7.4.25, 7.4.35, 7.4.39, 7.4.43, 7.4.47, 7.4.51, 7.4.53, 7.4.57, 7.4.69, 7.5.45, 7.5.47, 7.5.49, 7.5.51, 7.5.53, 7.5.55, 7.5.57, 7.5.59, 7.5.61, 7.5.63, 7.5.65, 7.5.67, 7.5.95.
3. Complex rational expressions:
• Date due: September 5 Thursday.
• Reading from the textbook: Section 7.6 (pages 473–478).
• Exercises due: Fill in the blanks:
1. A rational expression with rational subexpressions inside it is called a _____ rational expression.
2. If you simplify a rational expression by Method I (from Subsection 1 on pages 474–476 of the textbook), then you divide the _____ and _____ after simplifying them separately.
3. If you simplify a rational expression by Method II (from Subsection 2 on pages 477&478 of the textbook), then you multiply the numerator and denominator by the _____ _____ _____ of the subexpressions.
• Exercises from the textbook due September 10 Tuesday on MyLab: 7.6.11, 7.6.13, 7.6.25, 7.6.27, 7.6.39, 7.6.41, 7.6.43, 7.6.45, 7.6.47, 7.6.49, 7.6.51.
4. Rational equations:
• Date due: September 10 Tuesday.
• Reading from (mostly) the textbook:
• Skim: Section 6.6 (pages 409–415);
• My notes on rational equations.
• Section 7.7 (pages 481–490);
• Section 7.8: through the beginning of subsection 1 (pages 493&494);
• Exercises due:
1. Fill in the blank with an appropriate term: A rational equation is an equation where both sides are _____ expresions.
2. True or false: After solving a rational equation, even if you're sure that you didn't make any mistakes, you generally still need to check your solutions.
3. Fill in the blanks with appropriate variables: If A/B = C/D, then A___ = B___.
• Exercises from the textbook due September 12 Thursday on MyLab: 7.7.15, 7.7.17, 7.7.19, 7.7.21, 7.7.23, 7.7.25, 7.7.27, 7.7.29, 7.7.31, 7.7.33, 7.7.47, 7.7.49, 7.7.51, 7.7.53, 7.8.19, 7.8.21, 7.8.29.
5. Word problems with division:
• Date due: September 12 Thursday.
• Skim: Section 6.7 (pages 417–421);
• The rest of Section 7.8 (pages 494–502).
• Exercises due:
1. True or false: If the angles in two geometric figures are equal, then their corresponding lengths are also equal.
2. True or false: If the angles in two geometric figures are equal, then their corresponding lengths are proportional.
3. If a job can be completed in 4 hours, then what is the rate at which the job is completed, in jobs per hour?
• Exercises from the textbook due September 17 Tuesday on MyLab: 7.8.19, 7.8.21, 7.8.29, 7.8.41, 7.8.43, 7.8.45, 7.8.47, 7.8.49, 7.8.51, 7.8.53, 7.8.55, 7.8.57, 7.8.61, 7.8.67, 7.8.69, 7.8.73, 7.8.79.
6. Compound inequalities:
• Date due: September 17 Tuesday.
• Reading from (mostly) the textbook:
• Skim: Section 2.8 (pages 148–157);
• My notes on inequalities;
• Section 8.6 (pages 574–581).
• Exercises due: Which of these statements are always true and which are always false?
1. x ≤ 4 and x > 5;
2. x ≥ 2 or x < 3;
3. 7 ≤ x < 6.
• Exercises from the textbook due September 19 Thursday on MyLab: 8.6.43, 8.6.45, 8.6.47, 8.6.49, 8.6.51, 8.6.53, 8.6.55, 8.6.57, 8.6.59, 8.6.67, 8.6.69, 8.6.71, 8.6.73, 8.6.81, 8.6.83, 8.6.85, 8.6.87, 8.6.89, 8.6.91, 8.6.93, 8.6.101, 8.6.103, 8.6.105, 8.6.107, 8.6.109.
7. Absolute value:
• Date due: September 19 Thursday.
• Reading from (mostly) the textbook:
• Exercises due: Fill in the blanks with equations or inequalities (possibly compound) that don't involve absolute values:
1. |u| < a is equivalent to ___.
2. |u| ≤ a is equivalent to ___.
3. |u| > a is equivalent to ___ or ___.
4. |u| ≥ a is equivalent to ___ or ___.
5. If a ≥ 0, then |u| = a is equivalent to ___ or ___.
6. |u| = |v| is equivalent to ___ or ___.
• Exercises from the textbook due September 24 Tuesday on MyLab: 8.7.43, 8.7.47, 8.7.49, 8.7.51, 8.7.53, 8.7.55, 8.7.57, 8.7.59, 8.7.61, 8.7.63, 8.7.65, 8.7.69, 8.7.71, 8.7.73, 8.7.75, 8.7.77, 8.7.85, 8.7.87, 8.7.89, 8.7.91, 8.7.103, 8.7.105, 8.7.107, 8.7.109, 8.7.121, 8.7.123, 8.7.125, 8.7.127.
More to come!
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