Keys

For the Precalcers:
Chapter 3 Review Key

For Geometers:
Required Skills Keys 4.4-4.7
Book Review Key

Tri One Review Key

HERE IS THE FULL KEY. I brought home an older version of the key by accident, so if you see any possible errors please let me know.

EXTRA CREDIT FOR YOU IF YOU FIND AN ERROR!

Also, PLEASE feel free to email me if you have any questions. You could also call me @ home 952-210-6795 if you need to. I'm playing tennis at 6:00 so I won't be able to respond to you from about 5:30-8:00.

Hope this works for you.


QUESTION LOG:

On #45:
F(x)=(square root x)+3
G(x)=x2 -3
You restricted it as
(0, infinity)...but shouldn't it be (including -3, infinity)?
Answer: The best way to answer this question is with the graphs. Notice that in order to make the graph a true reflection over the line y=x, that you'd need to cut it at the vertex, which happens when x=0.


Also #31:
I did it twice and got 4x-20(square root x)+1, and you posted 4x-20(square root x) +25
Answer: I think the problem comes when evaluating -12(sqrt(x)-1)...you should get -12sqrt(x)+12, which will then give you 25 for the constant.

#48: How are they inverses if they're the same equation...? I'm confused! :(
Answer: Well, if you take f(g(x)) you should get x, right? And also g(f(x))=x...and really that is the way you would verify that they are inverses. Also, if you look at the graph, you would see that it would reflect onto itself over the line y=x (assuming f is restricted to [0,3]. It doesn't happen very often, but this is a case where a function is an inverse of itself.

Geometry #3A

It SHOULD say that E is the midpoint of AD and BC.

TYPO!

Chapter 2 2H Key

Sorry, scanner is not available, so I'll do my best to let you know what's up here.

First page:
Reals include rational and irrational, irrational is just irrational. Remember that complex numbers include REAL and IMAGINARY and COMBINATIONS of the two. Review number structures. Here's the Powerpoint if you want to look at it again.
#4&5) Check this powerpoint.
#6&7) Don't worry about these too much right now.
8-12) Check your work w/graphing calc
13-14) Divide and disregard remainder.
13) y=x^5-x^4-x^3-x^2-x+2
14) y=x^2-x
15) Consider these!

20) (-inf,-3)U(5/2,inf)
21) (-inf,-2]U[-1,2]
22) (-inf,-2)U(-1,inf)
23) [-5,-3)
24) (-1,1)
25) (-inf,-8)U(-6,4)U(6,inf)
26) (-inf,1/2]U[2,inf)
27) (1/2,1]
28) (-inf,1/4)U(2,inf)
29) The first 6 seconds. Set up the inequality -16t^2+96t+190>190
30) The first 3 seconds.
31) (x+3)(x-5) gives you critical values at -3 and 5. Just decide on the type of inequality.

***I'll be up until about ten. If you have questions email me or you can call my cell if you want: 952-210-6795. I don't care if it's wierd. Do it if you need to!!!

Chapter 2 1H Review Key

Here is the review key. Looks like when I made this I was only finding the real zeros for #13-18. The only one with a complex zero is #15, with a complex zero of +/- i.

New Resources Avaiable!

For Geometers and HP Precalcers! Look to the right for new stuff!

Precalc - you have the in-class powerpoints and worked out solutions.

Geometry - you have answers and required skills keys.

Update (October 23, 2008)

Hey Guys, Sorry for the slaggage from Thompson on the site. 0_0 Well here's the updated stuff for Geometry. Do Harry a favor and pick up after your self. The rooms getting messy.lol.

Geometry Downloads Available.

To the right --->

Precalc Chapter 1 Solutions

Here are the chapter 1 solutions. Remember, it's probably easier to right-click and 'save as.'

Also, note that the powerpoints are to the right in the downloads sections.

Geometry Downloads

Take a look to the right if you are looking for any keys/answers ---->

Updated CSP key

Here is the better version WITHOUT the errors...

HP Precalc - CSP Key

Hey folks I found the RIGHT key from last year. The copy room is closed so I'll scan it in and put it up tomorrow. Quiz isn't too long so I'll show it to you in the morning...SORRY!

Geometry Downloads

Look over to the right ---->
for keys!

HP Precalc Grades

Hour 1


Hour 2


Have a good summer!

HP Precalc Final Review

OK, my regular uploading site, fileden, isn't working, so this is a band-aid and hopefully I can come up with a better link tomorrow. I'd prefer a direct link, but this will have to do.

Click here to download the review.

LImits Review Key

Click your mouse here for key.

Problem with #10 - should be 1/40.
Skip #14-16
Anything with absolute value or any piecewise defined functions can be analyzed with a calculator.

Geometry Chap 11 Required Skills

KEYS:
11.1
11.2
11.3
11.4
11.5

Geometry Solutions

From the review in the back of your study guide...

1a)r=2,d=4
1b)r=2,d=4
1c) (5,2)
2a)r=2,d=4
2b)yes, they're both 4 units
2c)x=5,y=0,y=4
2d) (5,2)
3a)r=2,d=4
3b) (4,4)
3c)x=2,x=6,y=4
3d)y=x
4a) No...doesn't satisfy the Pythagoream Thm
4b)6
5) r=3
6a)60 feet
6b)68 feet
7a)70 degrees
7b)110 degrees
7c)180 degrees
7d)210 degrees
7e)70 degrees
7f)110 degrees
7g)yes
8)170 degrees
9a)34 seconds
9b)52 times
10a)7
10b)55 degrees
11a)10
11b)90 degrees
12a)They should be congruent
12b)118 degrees
13a)Not enough information to say it's a diameter
13b)Not enough information to say the arcs are congruent
14...1)Given
14...2)segment PT is congruent to segment QS
14...3)all of radii of circle U
14...4)SSS
15)see 14
16a)58 degrees
16b)52 degrees
17a)90 degrees
17b)58 degrees
17c)58 degrees
17d)96 degrees
18)w=65,x=66,y=115,z=114
19 [switched pictures]
19a)W and Z, X and Y
19b)No. 130+70=200, NOT 180
20...2)angle AED is congruent to angle BEC
20...3)inscribed angles intercept the same arc CD
20...4)AA Similarity
21)see 21
22a)82 degrees
22b)104 degrees
23) m<1=97 degrees, m<2=83 degrees, m<3=53 degrees, m<4=117 degrees
24)100 degrees
25a)12
25b)12
26a)9
26b)4
27)14.2 feet
28a) (x-2)^2+(y-5)^2=9
28b) (x-2)^2+(y-2)^2=4
29) (x-3)^2+(y+2)^2=841
30) SKIP!
31-33) Click here for the graphs!

This just in...

HP Precalc:
Test moved to Thursday.

Here are the worked out solutions for chapter 7. Remember, this is a pretty big file, so be patient and it may work better to right click and "save as."

Photo Gallery

Who are these people?

10.4 Practice B Answers

Algebra 2, here you go!!

Vector HW

This is what I would turn into myself if I turned homework into myself...

vector answers

If you had trouble with the other ones, hopefully this will work for you.

HP Precalc Chp 6 Worked out Sol's

YES! Here you go!

Algebra 2: 10.1-10.4 Review

The review solutions are now available!

Also, I have made a key for the review worksheet for you! (it's a big file, sorry about that...)

Precalc Grades Updated

Sorry it took me so long on these. Tests aren't corrected yet, but I'll put those in as soon as I get them corrected. Now you or your parents can look on Schoolview to see how you're doing.

If you handed something in late, however, it may not be in yet because I put those in a special pile at school and didn't bring them home.

Also, GO WILD!!! Big OT winner last night!

HP Precalc

The ACT answers, ACT answers cont. and the vectors powerpoint are in the downloading section.

Law of Sines/Cosines Review (HP Precalc)

Law of Sines/Cosines review

Read sections 6.1 & 6.2 (pages 430-442)

Assignment:
p436-438 #2-8 even, 20, 23, 26, 27, 37
p443-446 #6, 10, 12, 20-26 even, 31, 34, 36, 40, 46

Geometry Review (from Study Guide)

Here is a key to the study guide. I've also uploaded answers from the book part of the review here.

1a. 540 degrees
1b. 127 degrees
2. x=56
3. x=18
4. 157.5 degrees
5. 135 degrees
6. 225 degrees
7a. 101 degrees
7b. y=8, x=11
8. p=62, q=9
9. c=6, d=9
10a. 61 degrees
10b. g=8, h=20
11a. g=3.5, f=88
11b. x=2, y=9
12a. v=4, t=9
12b. (0.5, 1) !!!typo - should be D(-3,0)
13a. yes
13b. yes
14. (2)CPCTC, (3)opposite sides in a parallelogram are congruent
15. see #14
16. x=20
17. x=7
18a. Use distance formula
18b. Use slope formula
19. parallelogram, rhombus
20. x=27, y=4
21a. 60 degrees
21b. rectangle & square
22a. 56 degrees
22b. 112 degrees
22c. 16.5
22d. about 18.5 (use inverse cosine)
23. (2)def of rectangle (3)angle RTA is congruent to angle CEA (4)angle RAT is congruent to angle EAC (4) AAS
24. Many different ways to show - AAS, SSS, SAS most common if you use the fact that diagonals bisect each other
25a. RT=15
25b. sometimes
26a. yes
26b. x=5.25
27a. yes
27b. Use CPCTC to show DA=EV, the it is by definition since bases are given parallel
28. 118 degrees
29. 2root10 & 2root5
30a. No
30b. trapezoid
30c. (3root13)/2
31a. Isosceles trapezoid
31b. rectangle
32a. no !!!Typo - forget that isosceles trapezoid stuff - look at the specific terms
32b. yes
33. angle B & angle A could be congruent, for example

HP Precalc - Chapter 5 Review Key

Here ya go. As awlays, find an error, get extra credit.

Looks like I didn't quite finish the last problem (sorry), but I got you far enough. You get the idea...

Also, a couple of you have requested the formulas powerpoint. While this isn't the focus of the test, you may want to look it over.

HP Precalc - Formulas

Don't memorize these. I'll give you these. But you need the rest, including reciprocal & Pythagorean identities and DOUBLE ANGLE formulas.

Algebra 2 - Know for Test!

KNOW FOR TEST
Graphing Rational Functions
-basic (translations)
-more advanced:
-x & y intercepts
-VA & HA
-Domain & Range
Multiply & Divide & Simplify expressions
Add & Subtract Rational Expressions
Solve rational equations
Simplify complex fractions
WP’s (cost model, upstream/downstream)

Answers for "Sequence"

Here they are!

Hints for "Written Exercises"

SO I have decided not to put any answers up, but if you CAN ALWAYS check to see if you got the right answers by plugging each side of the equation into your calculator and calculating the intersection points. Make sure you are using the right mode and window.

Here are hints for each problem (13+):
(13) Write sec as 1/cos and move to the other side. Combine the fractions and set numerator equal to zero.

(15) sec=1/cos, csc=1/sin, combine like 13

(17) Square root of both sides, don't forget +/-. Take reciprocal of both sides.

(19) sin2x=2sinxcosx, factor

(21) cos2x=2cos²x−1, move all to the left, factor trinomial

(23) w=2θ

(25) factor

(27) cos2x=1−2sin²x, factor - you may get a "no solution" factor

(29) w substitution, square root

(31) w=3x

(33) w=2θ, then you have sin2w=cosw, use double angle formula sin2x=2sinxcosx, move all to the left, factor. This one's tricky.

(35) sin2x=2sinxcosx, multiply both sides by sinx, push cos to the left and factor

(37) cos2x=1−2sin²x

(39) w=2θ+10, then solve for x after you get w. Not as hard as you think...

(41) same tactic as 39

(43) Use graphing calc for now....might be easiest to use angle sum/difference formulas, which we haven't learned yet....any better ideas post them here

(45) cos2x=1−2sin²x, use quadratic formula (!)


If you need clarification on any of this feel free to comment here and I'll respond as soon as I can. I'll be moonlight bowling tonight though, so you may not hear back until late tonight or tomorrow.

HP Precalc

Here is the 7.1 Odds Key.

Link for pledge policy

Pledge Policy Link

As requested by 2nd hour...

Geometry

Your Chapter 8 Study Guide and assignment grids are in your downloading section.

Links from Mr. Jacobs

This is a test to see if I can directly link to his worksheets.

test

Ok, I will soon be linking directly from Mr. Jacob's website for Algebra 2.

Chapter 5 worked-out solutions

Here they are. Remember, it's a big file, so be patient, or right-click "save as" to download it permenently on your home computer.

Algebra 2

Graphing simple rational functions is in the second half of the powerpoint, so just skip past the first few slides.

Precalc Review Key

Here it is **updated w/o errors**. It's also in the downloads section.

"Go fast and take chances" is my motto on the ski-slopes, but it doesn't work too well on review keys. (Or for Sunny Bono...) If you find an error, comment or email please. 1 EC test point for each error!

Algebra 2

Your formative assessment (review) KEY on 7.1-7.5 is now in the Algebra 2 downloads section. Or click here.

Beard Poll

I'm not doing half-and-half, or progressive (sorry Ryan). But here are your choices.


-----Full Beard----------------------Full Goat---------


------Handlebars--------------------"Geraldo"-----------


--------Soul Patch-----------------Clean Shaven---------

Precalc Stuff!

The Key and Powerpoint are now available.

Here's what you should know for the test:
-unit circle
-radians
-reference angles
-graphing all six trig functions
-know: amplitude, period, phase shift, vertical shift, reflections
-know the two different forms ( y=AsinB(x-C)+D vs. y=d+asin(bx-c) ) and the difference between them.
-graphing will be the major portion of this test and you need to have a complete understanding of all 6 trig functions!!!!!!!!!
-inverse functions, including domain restrictions and how to find/use + drawing triangles for compositions
-Domains of all six trig functions and how to find

HP PreCalc

The trig review answers are now in the downloading section.

Chapter 4 worked-out solutions

Thay are available here! (it's a big file, give it time...)

HP Precalc

The home ownership and investing your money powerpoints are now in the downloading section.

New Downloads Available!

HP Precalc
Finance Basics Powerpoint
Installment Buying Powerpoint

Geometry
Chapter 5 Assignment Grid
Chapter 5 Study Guide

AGEx
Chapter 1 Assignment Grid
Chapter 1 Study Guide