Homework Monday, 5/13

Pre-Algebra: Answer those questions from class.

Algebra: Finish the worksheet.  Answers below.  Alternate answers are possible, email me if you can't tell if you have something fully simplified correctly or not.
1. (9L + 30) / ((L + 6)(L - 2))
2. 35 / (12i)
3. (L + 10) / 2
4. 1

5. (c^2 + 6) / (c^2 + c - 6)
6. (11L - 16) / (L^2 - 3L + 2)
7. -11e / 6
8. (8o^2 - 5o - 50) / (o^2 + 10o)

9. (K + 4) / (K - 3)
10. a + 7
11. i
12. (B + 4) / 2

13. (4i^2) / (5Lw^5)
14. ((c - 9)(c + 2)) / ((c + 1)(c + 5))
15. (o - 8) / (o + 8)
16. 1

Homework Thursday, 5/9

Pre-Algebra: At least 3 problems from the worksheet, preferably more.  I think that #1, 3, and 4 are the most approachable.

Algebra: Pg. 514 #14, 15.  I would highly recommend finishing #13 before you do the next ones.

Homework Wednesday, 5/8

Pre-Algebra: Pg. 467 #7 - 14, 19, 20

Algebra: The beautiful pink and yellow worksheets.  #13 is not required.

Homework Monday, 5/6

Pre-Algebra: Pg. 531 #10 - 19, 27, 29

Algebra: Pg. 513 #10, 11, 28, 29
Test Tuesday, 5/14

Homework Monday, 4/29

Pre-Algebra: Ch. 7 Test Corrections.

Algebra: Functions Test Review Sheet.  Answers below:

For #1 - 5, I will give some points that you could have plotted on your graph.  #1, 2, and 5 should curve upwards from left to right, while #3 & 4 curve down.
1) ..., (-3, 0.125), (-2, 0.25), (-1, 0.5), (0, 1), (1, 2), (2, 4), (3, 8), ...
2) ..., (-3, 0.375), (-2, 0.75), (-1, 1.5), (0, 3), (1, 6), (2, 12), (3, 24), ...
3) ..., (-3, 8), (-2, 4), (-1, 2), (0, 1), (1, 0.5), (2, 0.25), (3, 0.125), ...
4) ..., (-3, 0.8), (-2, 0.4), (-1, 0.2), (0, 0.1), (1, 0.05), (2, 0.025), (3, 0.0125), ...
5) (0, 500), (1, 530), (2, 561.8), (3, 595.508), (4, 631.23848), ... (you can round to the nearest elk)

6a) y = (100 + 35x) / x; or y = (100 / x) + 35; where y = number average cost per vacuum and x = number of vacuums.
6b) Some points might include (1, 135), (5, 55), (10, 45), and (30, 38.3333...)
6c) $55 (total cost divided by the number made)
6d) At least 20 (that should come out to a whole number)
6e) If you need help solving it algebraically, email me.
6f) The lower limit for his average cost would be $35.  You could say that he needs to sell for more than $35, or at least $35.01 if you like.

7a) y = (75 + 10x) / x; or y = (75 / x) + 10
7b) Some points may be (1, 85), (6, 22.5), (15, 15), etc.
7c) $16.25 (or more)
7d) At least 28 necklaces.  Solving algebraically, you should find that x is exactly 300/11, or 27.272727... which means you need at least 28.
7e) He can't go that cheap.  He should probably get out of that business.

8a) (Sorry, I meant to make the numbers whole on this one, but I got them backwards.  They aren't that bad, though).  If you let x = price and y = amount of silver, then you should find a slope of 1/1.2, which simplifies to 5/6.  This gives you a "seller" equation of y = (5/6)x + 41/6.
If you let x = amount of silver and y = price, you would have y = 1.2x - 8.2, or y = (6/5)x - 66/5
8b) If x = price and y = amount, then y = (-5/4)x + 32.25 (the slope = -1/0.8, or -5/4).
If x = amount and y = price, then y = -0.8x + 25.8, or y = (-4/5)x + 129/5
8c) They should both be lines.  The "seller" line should have a positive slope, and the "buyer" line a negative.
8d) The price is $12.20 per ounce, and 17 ounces are sold.
8e) The most basic effect is that there will be more people interested in selling silver than in buying it.
8f) The most basic effect is the opposite of before: lots of people will want to buy silver, but not as many people will be interested in selling it.
8g) Speculate for yourself.  We'll discuss it tomorrow.

9a) Do it.
9b) Do it.
9c) I'm getting something like y = 0.75x + 5.75.  Or thereabouts.
9d) I'm getting about (7, 11).
9e) I'm getting about (20, 20.75)

10) No.
11) Yes.
12) Yes (if you graph this, these points form a semicircle with a radius of 5).
13) Yes.

Homework Tuesday, 4/16

Pre-Algebra: Pg. 372 #1 - 13, 21 - 30.  Answers below.

Algebra: Finish #3 on the Econ WS

1. 33 / 100
2. 13 / 20
3. 24%
4. 14%
5. 0.68
6. 0.425
7. 90%
8. 147%
9. 51
10. 72
11. 82.5
12. 5.88
13. 88 games
21. decrease 30% (or -30%)
22. increase 10% (or +10%)
23. +37.5%
24. -15%
25. about 172 billion
26. $840
27. $520
28. $31.95
29. $150
30. $1872.72

Homework Monday, 4/15

Pre-Algebra: Do the starred problems on the worksheet you got in class AT MINIMUM.  That would be numbers 5, 7, 8, 11, 14, 18, 21, 24, 27, 29, 33, 34, 39, and 42.

Algebra: Complete #1 & 2 on the worksheet from class, and at least begin thinking about #3.

Homework Friday, 4/12

Pre-Algebra: Pg. 368 - 371 #5 - 22, 40 - 49

Algebra: None.

Homework Thursday, 4/11

Pre-Algebra: Pg. 366 #25

Algebra: Pg. 503 #6 (worst pun ever), 11, 19, 20, plus the problem below:

In one of your classes, you currently have earned 80/100 points, giving you a grade of 80%.  Your goal is to get your grade up to at least 85%.  If you earn all of the future points in this class, how many more points will it take before your average is at or above 85%?

Homework Wednesday, 4/10

Pre-Algebra: Pg. 365 #8 - 14, 18 - 21

Algebra: Average Cost Worksheet.

Homework Tuesday, 4/9

Pre-Algebra: Pg. 360 - 361 #21 - 23, 27 - 40
Optional problems also due tomorrow.

Algebra: Pg. 627 #11, 12, 18, 19

Homework Monday, 4/8

Pre-Algebra: Pg. 361 #8 - 20, 24
You also have those optional problems, which are due Wednesday if you would like to do any or all of them.

Algebra: Pg. 624 #3, 5, 8, 10

Homework Monday, 3/25

Pre-Algebra: Percent Change #1 Worksheet.  Remember, you will be graded on your explanations of what you do, not your computational accuracy at this point.

Algebra: Pg. 343 #10, 11

Homework Friday, 3/22

Pre-Algebra: None.

Algebra: Independent Study.

Homework Thursday, 3/21

Pre-Algebra: Pg. 348 #8 - 22 OR the worksheet I handed out in class.

Algebra: Independent Study.

Homework Wednesday, 3/20

Pre-Algebra: Pg. 342 - 343 #13 - 24, 33 - 46

Algebra: Pg. 289 #11, 12 and pg. 592 #5 - 8

Homework Tuesday, 3/19

Pre-Algebra: Pg. 337 - 339 Choose either #9 - 19, 23, 24 OR #9 - 14, 26 - 31

Algebra: Exponential Functions Worksheet

Homework Monday, 3/18

Pre-Algebra: Pg. 331 - 333 #12 - 42 Evens, then choose 56 or 57 or 58

Algebra: Absolute value functions.  Email me if you've forgotten the assignment.

Homework Friday, 3/15

Pre-Algebra: None.

Algebra: None.

Homework Thursday, 3/14

Pre-Algebra: Do 20 problems from the worksheet you got in class.  Answers below.
It's entirely possible there's a mistake in here, so please email me if you think you've found one.
Also email me if you have any questions.
Test tomorrow.

Algebra: Pg. 635 #3, 6, 9, 12

Answers
1) w = 42
2) x = 2.7
3) y = 10.24
4) z = 11.407407407...(all reapeat)
5) u = 4.571428...(all repeat)
6) v = 6 or -6
7) $0.27 / oz
8) 2.5 minutes / problem
9) 0.9 miles / minute
10) 1.16666... houses / acre
11) 100 minutes / page
12) 27 ft / second
13) 26 km
14) 8.24 km
15) 3.875 cm
16) 17.5 cm
17) 1 : 400,000
18) 25 yd
19) 18.125 yd
20) 0.8 in
21) 5.45 in
22) 1 : 90
23) WZ = 3.5
24) CD = 30
25) XY = 4.33333...
26) 6 : 1
27) 1/2
28) 3/10
29) 1/5
30) 3/20
31) 1/24
32) Either 1/12 or 1/6, depending on how you interpreted the problem.
33) 1/4
34) 5/8
35) 17,576
36) 2,704
37) 5,200
38) 3,844
39) 30,240 (I have corrected my mistake, the answer is not 120)
40) 3,628,800

Homework Wednesday, 3/13

Pre-Algebra: Pg. 322 #1 - 23

Algebra: Pg. 619 #A - E, 1, 4

Homework Tuesday, 3/12

Pre-Algebra: Pg. 320 - 321 #23 - 35 OR that worksheet you got.  Or both.

Algebra: Solve those things from class, no calculus allowed.

Homework Monday, 3/11

Pre-Algebra: Pg. 318 - 319 #7 - 22.  Test Friday.

Algebra: Intersecting Curves Worksheet.

Homework Wednesday, 2/27

Pre-Algebra: Pg. 309 - 310 #7 - 13

Algebra: Pg. 240 #41 - 45

Homework Tuesday, 2/26

Pre-Algebra: Sierpinski's Carpet.

Algebra: Pg. 240 #20 - 27

Homework Monday, 2/25

Pre-Algebra: Pg. 302 - 304 #(12 - 39) / 3, then choose {41 & 42} OR {46}
Scale drawing due Friday, 3/1.
Test Corrections due Thursday, 2/28.
Retest will occur this Thursday, as well.

Algebra: Pg. 239 #1 - 6, 15, 16
Retesting will occur this week, and YOU need to come to me to set up a time if you are interested.

Homework Friday, 2/22

Pre-Algebra: Your scaled up or down picture is due next Friday, 3/1

Algebra: None.

Homework Thursday, 2/21

Pre-Algebra: Finish a picture.

Algebra: I think I gave you a worksheet to finish, but who knows anymore.

Homework Wednesday, 2/20

Pre-Algebra: Pg. 295 - 296 choose either #6 - 14 or #10 - 16

Algebra: Pg. 256 #16

Homework Tuesday, 2/19

Pre-Algebra: Pg. 291 - 292 #7 - 21

Algebra: Pg. 253 #7, 8; you must also graph the height functions.

Homework Wednesday, 2/13

Pre-Algebra: Pg. 283 #24 - 33, plus the first two on the worksheet; OR any 5 problems on that worksheet.

Algebra: Pg. 251 #1, 2

Homework Tuesday, 2/12

Pre-Algebra: Pg. 273 #30 - 35; pg. 278 #21 - 27, 31, 35, 36

Algebra: None.

Homework Monday, 2/11

Pre-Algebra: Pg. 272 - 274 #22 - 29, 36, 37, then choose 40 & 41 or 42 - 44

Algebra: Test tomorrow.  You've got 30 problems on that worksheet I gave you today to choose from.  Email me your questions or they won't get answered.

Homework Friday, 2/8

Pre-Algebra: You may complete the magic square on page 236 as an optional assignment if you wish.  This can replace a previous low score (such as a 0).

Algebra: Write 3 quadratic equations of your choosing, then graph each of them and find the x-intercepts.  Remember, the test is this Tuesday, so if you choose to make your equations too easy then you may find yourself unprepared.

Homework Thursday, 2/7

Pre-Algebra: Do not do any math tonight.

Algebra: Pg. 245 #1 - 6.  For #1 & 2 you should find Rational answers; #3 - 6 are not Rational but they are Real.

Homework Wednesday, 2/6

Pre-Algebra: Practice Test.  You must do at least 3 sections, or you can do several problems from each section.  Or more.  Answers below.  Test tomorrow.

Algebra: Pg. 182 #21 - 25 and pg. 186 #29 - 36.  Special Instructions: the problems as they are written only ask you to factor the trinomials.  What you need to do is change them so that they all become equations and set them equal to zero, then solve for x.
For example, if the problem asks you to factor the expression x^2 - 6x + 5, then you need to change it to the equation x^2 - 6x + 5 = 0, and then solve for x.

Pre-Algebra Practice Test Answers:

Section I

1) 2d / 3
2) 3 / a or 3 / (1a)
3) (27x) / 14
4) 28 / (15p)
5) (45x^2) / 16
6) (2c^4) / 15
7) (4g^4) / 21
8) (153m) / 20

Section II

9) a = -4 / 9
10) b = -34 / 15 or -2 & 4 / 15
11) w = -5/8
12) x = 20 / 63
13) y = 10 / 3 or 3 & 1 / 3
14) z = 12 / 5 or 2 & 2 / 5

Section III (make sure your inequality signs are correct)
15) h < -16 / 5 or h < -3 & 1 / 5
16) i > -20 / 13 or i > -1 & 7 / 13
17) j < 6
18) k > 25 / 3 or k > 8 & 1 / 3

Section IV (make sure you know how to set up the necessary equations)
19) 21 mysteries
20) $27.50 per shirt
21) 5.5 hours
22) It will last 41 full days (including the nights)
23) 14 pies

Section V

24) 0.81818181... (both the 8 and the 1 repeat)
25) 1.625
26) 6.32
27) 0.0333333... (after the decimal point, a zero followed by a repeating 3)
28) 139 / 50 or 2 & 39 / 50
29) 2 / 25
30) 1032 / 125 or 8 & 32 /125
31) 83 / 50 or 1 & 33 / 50

Homework Tuesday, 2/5

Pre-Algebra: Pg. 262 #1 - 35, you can skip 7 & 8.

Algebra: Quadratic Graphing Worksheet, the quadratic coefficient is negative.

Homework Monday, 2/4

Pre-Algebra: Pg. 256 - 256 #32 - 40, 44.  You must solve AND graph, and notice that all word problems should be set up as inequalities.

Algebra: Quadratic Graphing Worksheet.

Homework Thursday, 1/31

Pre-Algebra: Pg. 256 - 257 #22 - 27, 42, 43, 55

Algebra: Nope.

Homework Wednesday, 1/30

Pre-Algebra: Pg. 256 #13 - 21, 41, 46.  Try out the "new" technique we learned, and we will discuss it more tomorrow.

Algebra: No.

Homework Tuesday, 1/29

Pre-Algebra: Pg. 250 - 251 #21 - 29, then pick 2 from #30, 31, 32, and 34.

Algebra: Graphing Quadratic Equations Worksheet.

Homework Monday, 1/28

Pre-Algebra: Pg. 249 #11 - 18, and finish your Bingo card.

Algebra: Pg. 194 #5 - 14, 21 - 32; pg. 204 #1 - 14.  All of these expressions follow one of two patterns, and you want to get to the point where you can recognize them quickly.  Quiz Wednesday.

Homework Friday, 1/25

Pre-Algebra: Finish the quiz we did in class.  It's on page 236.  Do all the problems except 7 & 8.

Algebra: None.  Factoring quiz Wednesday.

Homework Thursday, 1/24

Both Classes: ALL OLD HOMEWORK IS DUE BY TOMORROW.

Pre-Algebra: Pg. 240 #29 - 35 & pg. 246 #33 - 35, 46 - 49

Algebra: Pg. 190 #15 - 24, 37

Homework Wednesday, 1/23

Pre-Algebra: Pg. 245 -246 #24 - 32, 38 - 41

Algebra: On pages 182 and 185, do #(6 - 18) / 3 (that's 6, 9, 12, 15, and 18 on each page)

Homework Tuesday, 1/22

Both Classes: All homework assignments are due this Friday!

Pre-Algebra: Pg. 240 #8 - 15, 20 - 28

Algebra: Pg. 177 #41, 52, 55, 69 - 74

Homework Friday, 1/18

Pre-Algebra: If you didn't do well on last night's assignment, you may correct it this weekend.

Algebra: Pg. 176 #3 - 39, only the problems divisible by 3.

Homework Thursday, 1/17

Pre-Algebra: Pg. 234 - 235 #16 - 19, 28 - 31, 36 - 39, choose 44 or 52

Algebra: Pg. 127 #21 - 26; pg. 408 #3, 4

Answers if you want them:
21. 5(x + 2y)
22. 3(2p - 3j)
23. r(x + z)
24. 6(2x+ 3)
25. x(5x - 3)
26. 4(x + y - 2z)

3a. Phoebe
b. Calvin
c. Neither
d. Both
e. Phoebe
f. Calvin
g. Phoebe
h. Neither

4a. 35x^17 ("35 times x to the 17th")
b. 125a^21
c. r^(-3) * s^(-7) OR 1 / (r^3 * s^7)
d. x^10 * y^10
e. a^(-2) * b^6 OR b^6 / (a^2)
f. 3b^5 * c^(-3) OR 3b^5 / (c^3)
g. x^4
h. 5
i. 9x^16
j. Cannot be simplified
k. 16x^3
l. 0
m. 6x^3

Homework Wednesday, 1/16

Pre-Algebra: Pg. 228 - 229 #29 - 36, 46 - 51, choose 52 or 53
Retests begin tomorrow.

Algebra: You should have gotten two worksheets.  Follow the instructions and do them both.
Qviz Friday.

Homework Tuesday, 1/15

Pre-Algebra: Pg. 222 - 223 #20 - 43, 46 - 48

Algebra: Pg. 171 #1 - 46.  Yeah, it's a lot.

Homework Monday, 1/14

Pre-Algebra: Test Corrections.

Algebra: Pg. 107 #21 - 40

Homework Friday, 1/11

Pre-Algebra: None.

Algebra: Pg. 392 #23 - 40

Homework Thursday, 1/10

Pre-Algebra: None.

Algebra: Pg. 373 #21 - 30; pg. 379 #37 - 50; and pg. 387 #45 - 52

Homework Wednesday, 1/9

Pre-Algebra: Pg. 214 #1 - 33 odd.  Answers are listed below, and I have included the even numbered answers if you would like to do them for extra practice.
Also, if you would like to do the worksheets I handed out in class the past two days, you may turn them in as optional assignments (you don't have to complete all of them).

Algebra: No homework.

Notes on reading the answers: I will use * to mean multiplication, so "two times three" would be 2 * 3.
I will use the ^ symbol to mean raising to a power, so "x to the 5th power" would be x^5.
Division and the fraction bar will use a /, with the numerator and denominator separated by parentheses if necessary.  "Two-thirds" would then be 2 / 3, and something like "8 times x squared over 9 times y" would be (8x^2) / (9y).
Alternate answers are possible, email me if you have any questions.

1. 3^3 (or, these can always be written without the exponent as 3 * 3 * 3)
2. (2^2) * 3 * 5 (remember, even numbers are not required tonight)
3. (2^2) * 3 * 7
4. (2^2) * 5 * 13
5. 25, not relatively prime
6. 1, relatively prime
7. 2, not relatively prime
8. 6, not relatively prime
9. 3 / 10
10. 23 / 30
11. x / 2
12. (6a) / b
13. 3 / 5
14. 11 / 12
15. 7 / 45
16. 61 / 100
17a. 2/7 in game 1; 1/3 game 2; 3/13 game 3; 1/13 game 4; 4/15 game 5
17b. Game 2
18. 13^10
19. 20 * m^13
20. 1 / (7^3) or 7^(-3)
21. (w^12) / 6
22. 1 / (15^4)
23. 16 / (h^7); note that the 16 remains in the numerator
24. 12
25. (n^5) / (m^4)
26. 5.1 * 10^9
27. 6.45 * 10^12
28. 8.97 * 10^(-9)
29. 9.3 * 10^(-7)
30. 9.0 *10^17 < 5.2 * 10^18
31. 7.31 * 10^(-2) > 7.31 * 10^(-3)
32. 1.25 * 10^(-9) > 1.05 * 10^(-9)
33. 8.12 * 10^5 > 8.18 * 10^4

Homework Tuesday, 1/8

Pre-Algebra: Pg. 211 - 213 #17 - 24, 38 - 47

Algebra: Pg. 567 #4(a - h), 6, 8.  Answers below.  I'm not posting the answers to the other worksheets because I won't have time until much later and I don't feel like it.  Email me if you would like answers to those.

4a. 6 root(7)
b. 3 root(35)
c. 13
d. 34 root(2)
e. 16 root(7)
f. root(14) / 7
g. 4 root(3)
h. 8 root(15)

6a. about 429.99
b. 6.5

8. about 110.32 km

Homework Monday, 1/7

Pre-Algebra: Pg. 210 - 212 #1 - 16, 25 - 29.  Don't forget that you also have that review sheet I gave you in class today, which has a lot of practice problems on it.  Email me if you want answers.  Test begins Thursday.

Algebra: Do that review sheet you got in class.  Test Wednesday.

Homework Friday, 1/4

Pre-Algebra: Pg. 207 - 208 #40 - 51, 64

Algebra: Pg. 532 #14 - 16; pg. 552 #25, 26

Homework Thursday, 1/3

Pre-Algebra: Pg. 207 #13 - 36

Algebra: Pg. 540 #4 - 14

Homework Wednesday, 1/2

Pre-Algebra: Pg. 202 #24 - 42

Algebra: Pg. 532 #1 - 13