Geometry Review Resources

Required Skills 8.4-8.5

Review Keys:
p562
p558
p564
p568

Review Key

Thanks Amy, for reminding me! =)

Here's the key. Corrections on...

#1 sec^2(x) - tan^2(x)=1, obviously
#15 add 5pi/6 + n*pi
#17 should be pi/6, 7pi/6
#34-36 replace all sqrt(65) with sqrt(85), simplify accordingly
#40&41 denominator inside the square root should be 26
#43 should be 7pi/6, 11pi/6...

This is a horrible key - too many silly errors. Time to make a new one!

Equations Key - Precalc

Here are all of the solutions we went over in class. Corrected the quizzes....some of you are very good, others could use a little help!

Tri Two Review Key - HP Precalc

Tri Two Review Key

#3f. ERROR - Should have used pert.

If you find any other errors, or have a question, let me know...

HP Precalc Chp 4 Review Key

HERE is the KEY. It's actually an old version with ONE error.

Error on #12...the midline should be on one, and the vertical shift will put the "quarter points" at 1/2 and 3/2.,..sorry for the confusion. The graph should actually look like this:



Also, here's the invese trig functions powerpoint if you need it.

Trig Review Key

Known Errors:
#25 The coterminal angle listed is wrong. A better one would be 10-2Pi

Click here for the key.

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.

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.

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.

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!