Homework problems will come in two forms: Practice problems and Due problems. Generally, the Practice problems will come from the textbook, while I will write the Due problems myself, (although there may be exceptions in both cases). Only the Due problems actually need to be handed in. You don't have to turn in the Practice problems, but you should try them! If you find them easy, then you can skip to the next batch, but the Practice problems will usually help you with the Due problems. In any case, you'll need to practise the material if you want to remember it for the exam, a subsequent course, or the rest of your life.

As you do your homework,
I encourage you to talk with your fellow students.
In my class, this is *not* cheating!
*However*, the final result that you turn in to me
must be your own work, written by you in your own words;
you should understand (at least more or less) what you've written.
Don't turn in anything that you copied from another person,
and don't have other students copy from what you plan to turn in.
You can also look at other books and talk to other people,
but the same rules apply as if those books or people were your fellow students:
Understand what you turn in, and don't copy their words.

If you miss the homework, you can download it here; see the downloading help if you have trouble. After I return a homework assignment, I'll post my solutions here too.

- Introduction
- Lecture covered: January 7 Monday;
- Section of the textbook: 1.1;
- Date due: January 9 Wednesday (or the next class meeting after you add);
- Practice problems: From §1.1 (pages 7&8): 1–8 (or more);
- Due problem (essay): Why are you taking this course?

- The real numbers
- Lecture covered: January 9 Wednesday;
- Section of the textbook: 1.2 (mostly);
- Date due: January 11 Friday (or January 14 for #3&4 in section ES33);
- Practice problems:
- From §1.2 (pages 15–17): 2, 5–8, 15–28, 53–72;
- From §1.3 (pages 26–28): 25–28, 61–66;
- From §1.4 (pages 37–40): 6, 33–36.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Positivity
- Lecture covered: January 11 Friday;
- Sections of the textbook: 1.4–1.6;
- Date due: October 8 Monday;
- Practice problems:
- From §1.2 (pages 15–17): 3, 4, 29–52;
- From §1.3 (pages 26–28): 1–3, 5, 8, 109–116.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Exponentiation and order of operations
- Lecture covered: January 13 Monday;
- Sections of the textbook: 1.6, 5.4, 5.6;
- Date due: January 15 Wednesday;
- Practice problems:
- From §1.6 (pages 55–57): 1–64, 93–98;
- in 13–32,
you may use a calculator to
*multiply*, but*don't*use a ‘^’ or ‘*y*^{x}’ key; - in 33–64,
you may use a calculator for
*individual*operations, but*don't*put the entire expression into the calculator at once; - 93–98 are optional (sort of a game);

- in 13–32,
you may use a calculator to
- From §5.4 (pages 380–382): 33–42;
- From §5.6 (pages 396–398):
1–5, 9–60, 79–86, 91–100;
- 79–86 and 91–100 are optional;
- in 97–100, you may use a calculator.

- From §1.6 (pages 55–57): 1–64, 93–98;
- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Identities
- Lecture covered: January 16 Wednesday;
- Sections of the textbook: 1.5, 1.3&1.4, 5.6;
- Date due: January 18 Friday;
- Practice problems:
- From §1.5 (pages 47&48): 3, 6&7, 21–61;
- in 31–52, the point is that you can do these problems more quickly than usual by using an identity;
- 56–59 are optional (sort of a game);

- From §1.3 (pages 26–28): 4, 6, 7, 79–108, 121;
- also 9–24 if you need practice adding negative numbers;
- also 29–44 if you need practice subtracting negative numbers;
- also 45–60 if you need practice multiplying negative numbers;
- also 67–78 if you need practice dividing negative numbers;
- 121 is optional;

- From §1.4 (pages 37–40): 1–5, 7&8, 93–132;
- also 9–20 if you need practice reducing fractions;
- also 21–32 if you need practice multiplying fractions;
- also 37–48 if you need practice dividing fractions;
- also 49–72 if you need practice adding fractions;
- also 73–92 if you need practice with decimals;

- From §1.6 (pages 55–57): 65–88, 99–104;
- From §5.6 (pages 396–398): 61–78, 87–90.

- From §1.5 (pages 47&48): 3, 6&7, 21–61;
- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Algebraic expressions and formulas
- Lecture covered: October 12 Friday;
- Sections of the textbook: 1.7, 2.4&2.5;
- Date due: January 23 Wednesday;
- Practice problems:
- From §1.7 (pages 63–65): 13–26, 81–90, 93&94;
- From §2.4 (pages 111–116): 1, 5, 9–28, 83–86;
- From §2.5 (pages 128–131): 4, 35–42.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Expressions in standard form
- Lecture covered: January 23 Wednesday;
- Sections of the textbook: 1.7, 5.1;
- Date due: January 25 Friday;
- Practice problems:
- From §1.7 (pages 63–65): 1–5, 7, 9–12, 27–34, 45–52;
- From §5.1 (pages 350–354): 1–3, 9–24, 73–80, 105–108.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Adding and subtracting polynomials
- Lecture covered: January 25 Friday;
- Sections of the textbook: 1.7, 5.1;
- Date due: January 28 Monday;
- Practice problems:
- From §1.7 (pages 63–65): 35–44, 53–80, 91&92;
- From §5.1 (pages 350–354): 7, 45–72, 81–104, 109–124.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Multiplying and dividing monomials
- Lecture covered: January 28 Monday;
- Sections of the textbook: 5.2, 5.4;
- Date due: January 30 Wednesday;
- Practice problems:
- From §5.2 (pages 358–360): 1, 4&5, 57–80;
- do 9–24, 25–44, or 45–56 if you need more practice;

- From §5.4 (pages 380–382): 1, 3, 7, 63–102;
- do 9–24, 25–32, or 43–62 if you need more practice.

- From §5.2 (pages 358–360): 1, 4&5, 57–80;
- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Multiplying polynomials
- Lecture covered: January 30 Wednesday;
- Sections of the textbook: 5.3;
- Date due: February 1 Friday;
- Practice problems:
- From §1.7 (pages 63–65): 8;
- From §5.3 (pages 367–370): 1&2, 4&5, 91–124;
- do 9–20, 21–54, 55–66, or 67–90 if you need more practice;

- From §5.4 (pages 380–382): 103–112.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Dividing polynomials
- Lecture covered: February 1 Friday;
- Sections of the textbook: 5.5;
- Date due: February 6 Wednesday;
- Practice problems (previously assigned): From §5.6 (pages 396–398): 9–23 odd, 25–39 odd, 65, 73.
- Due problems: From §5.5 (pages 388–391): 13, 21, 31, 41.

- Graphing expressions and formulas
- Lecture covered: February 4 Monday;
- Sections of the textbook: 3.1&3.2;
- Date due: February 6 Wednesday;
- Practice problems:
- From §3.1 (pages 185–190): 4, 6–16, 29–32;
- From §3.2 (pages 201–205): 17–24.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Equations
- Lecture covered: February 6 Wednesday;
- Section of the textbook: 2.1;
- Date due: February 11 Monday (since the midterm was Friday);
- Practice problems:
- From §2.1 (pages 82–84): 11–18;
- From §3.1 (pages 185–190): 3, 5, 17–22;
- From §3.2 (pages 201–205): 9–16.

- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Solving equations
- Lecture covered: February 11 Monday;
- Sections of the textbook: 2.1
- Date due: February 13 Wednesday;
- Practice problems:
- From §2.1 (pages 82–84): 2–5, 8&9, 57–92;
- do 19–34 or 35–56 if you need more practice;

- From §1.6 (pages 55–57): 105&106.

- From §2.1 (pages 82–84): 2–5, 8&9, 57–92;
- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Linear equations
- Lecture covered: February 11–13;
- Sections of the textbook: 2.2&2.3
- Date due: February 15 Friday;
- Practice problems:
- From §2.2 (pages 90–92): 1, 3, 5, 7, 9, 47–74;
- do 11–46 if you need more practice;

- From §2.3 (pages 100–103): 3&4, 6–8, 45–101;
- do 9–44 if you need more practice;
- 101 is optional.

- From §2.2 (pages 90–92): 1, 3, 5, 7, 9, 47–74;
- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Inequalities
- Lecture covered: February 15 Friday;
- Sections of the textbook: 2.8, 8.6
- Date due: February 18 Monday;
- Practice problems:
- From §1.2 (pages 15–17): 9–14, 79–92;
- 79–92 are optional;

- From §2.8 (pages 161–164): 1, 3, 7, 19–42;
- From §8.6 (pages 628–631): 1&2, 4–20;
- 11–16 are optional.

- From §1.2 (pages 15–17): 9–14, 79–92;
- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Solving linear inequalities
- Lecture covered: February 18 Monday;
- Sections of the textbook: 2.8, 8.6
- Date due: February 20 Wednesday;
- Practice problems:
- From §2.8 (pages 161–164): 5&6, 8, 69–84;
- do 43–60 or 61–68 if you need more practice;

- From §8.6 (pages 628–631): 63–76, 93–97;
- do 25–62 if you need more practice;
- 93&94 are optional.

- From §2.8 (pages 161–164): 5&6, 8, 69–84;
- Due problems (with my
**answers**):- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Word problems
- Lectures covered: February 20&22;
- Sections of the textbook: 2.5–2.8, 8.6
- Date due: February 25 Monday;
- Practice problems:
- From §2.5 (pages 128–131): 6, 8, 49–68, 73&74;
- From §2.6 (pages 136–138): 1, 3, 5–55;
- From §2.7 (pages 145–149): any of these are good for more practice (optional);
- From §2.8 (pages 161–164): 9–18, 85–94;
- From §8.6 (pages 628–631):83&84, 87–90.

- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Absolute-value problems
- Lecture covered: February 25 Monday;
- Sections of the textbook: 8.7
- Date due: February 27 Wednesday;
- Practice problems:
- From §8.7 (pages 640–643): 1–6, 59–98;
- do 11–32 or 33–58 if you need more practice;
- 91–98 are optional (like the extra credit problem).

- From §8.7 (pages 640–643): 1–6, 59–98;
- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Equations with many variables
- Lecture covered: February 27 Wednesday;
- Section of the textbook: 2.4, 3.1
- Date due: February 29 (Leap Day) Friday;
- Practice problems:
- From §2.4 (pages 111–116): 3&4, 6&7, 29–82;
- From §2.1 (pages 82–84): 93–100;
- From §2.2 (pages 90–92): 75–78;
- From §3.1 (pages 185–190):
23–28, 33–68, 75–82;
- 75–82 are optional (only if you want to practice using a graphing calculator);

- From §3.2 (pages 201–205): 105–108.

- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Graphing equations
- Lecture covered: February 29 (Leap Day) Friday;
- Sections of the textbook: 3.2
- Date due: March 3 Monday;
- Practice problems:
- From §3.1 (pages 185–190): 69–74;
- From §3.2 (pages 201–205):
3–8, 37–56, 81–104, 115–126;
- do 25–36, 57–72, or 73–80 if you need more practice;
- 119–126 are optional (only if you want to practice using a graphing calculator).

- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Slope and equations of lines
- Lecture covered: March 3 Monday;
- Sections of the textbook: 3.3–3.5
- Date due: March 5 Wednesday;
- Practice problems:
- From §3.3 (pages 213–217):
1–3, 5, 7–70, 75–82, 89–96;
- 59–70 and 89–94 are optional;

- From §3.4 (pages 224–226): 61–72;
- From §3.5 (pages 232–235): 1&2, 4, 51–70, 75–86;
- do 9–26, 27–34, or 35–50 if you need more practice;
- 75–86 are optional.

- From §3.3 (pages 213–217):
1–3, 5, 7–70, 75–82, 89–96;
- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Graphing linear equations and inequalities in two variables
- Lecture covered: March 5 Wednesday;
- Sections of the textbook: 3.4, 3.8
- Date due: March 7 Friday;
- Practice problems:
- From §3.2 (pages 201–205): 109–114;
- From §3.3 (pages 213–217): 6, 71–74, 83–88;
- From §3.4 (pages 224–226): 8–60, 85–96;
- do 73–84 if you need more practice;
- 89–94 are optional;

- From §3.5 (pages 232–235): 71–74;
- From §3.6 (pages 241–244): 1, 3, 6–38, 63–92;
- do 39–50 or 51–62 if you need more practice;
- 79–92 are optional
(79–86 and 91&92 are
*analytic geometry*);

- From §3.8 (pages 258–261):
1&2, 5, 7–50, 63–66, 73–84;
- 73–84 are optional (only if you want to practice using a graphing calculator).

- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Systems of linear equations
- Lecture covered: March 7 Friday;
- Section of the textbook: 4.1
- Date due: March 10 Monday;
- Practice problems:
- From §4.1 (pages 281–285):
1, 3–5, 8, 9–50; 75–80;
- do 51–62 if you need more practice;
- 75–80 are optional (only if you want to practice using a graphing calculator).

- From §4.1 (pages 281–285):
1, 3–5, 8, 9–50; 75–80;
- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Solving systems of linear equations
- Lecture covered: March 10 Monday;
- Sections of the textbook: 4.2, 4.3
- Date due: March 12 Wednesday;
- Practice problems:
- From §4.2 (pages 292–295): 3, 5, 7, 9–30, 59–63;
- do 31–50 if you need more practice;

- From §4.3 (pages 302–306): 2&3, 5–7, 9–24, 45–68, 77–80;
- do 25–44 if you need more practice;
- 77–80 are optional
(since you're solving for
*x*and*y*, your answers will have*a*and*b*in them).

- From §4.2 (pages 292–295): 3, 5, 7, 9–30, 59–63;
- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- Word problems using two variables
- Lectures covered: March 12&14;
- Sections of the textbook: 4.4&4.5
- Date due: March 14 Friday;
- Practice problems:
- From §4.1 (pages 281–285): 63–70;
- From §4.2 (pages 292–295): 51–58;
- From §4.3 (pages 302–306): 69–76;
- From §4.4 (pages 312–314): 9&10, 15–22, 27–37;
- From §4.5 (pages 321–325): 5–44.

- Due problems:
- For ES32 (earlier section): PostScript form, PDF form;
- For ES33 (afternoon section): PostScript form, PDF form.

- That's it!

Go back to the the course homepage.

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