alg II HP final guide

This year's final is much smaller than last year's with only 18 problems.

The final breakdown by unit (# of problems)
unit 1 transformations/ domain and range - 5
conics-2
quadratics/ complex numbers - 4
polynomials-3
radicals - 4


Here is a review guide.

1.     If G(x) = 2x² + 3x -8, then G(-3) =

2.     If f(x) has point (-3, 0) on it, what will the coordinates of the transformed point be if: a. g(x) = 4f(x)   b.   h(x) = f(2x)  c.  m(x)= f(x+1) – 5

3.     If f(x) = x², then describe all transformations that happen to make

g(x) = -2(x-3)² -9

4.     Describe the solutions to the equation f(x) = 5x² + 19x -1

5.     Solve 5 + 2x² = 12x then write the domain and range.

7.     If 4- 3i and 4 + 3i are the roots, what is the equation?

8.      Simplify i³³

10.  Spiderman jumps from the top of a building to a ledge that is 22 feet off the ground.  His height during the fall is shown by the model g(t) = -16t² + 11 with t standing as time.  At how much time after his jump will he arrive at the ledge?

11. A hunter shoots a dart through a blowgun.  The dart travels by M(t) = – 5t² + 10t + 2 where M(t) is height and t is time in seconds.  He is trying to hit a wild turkey that is in a tree that is 4 meters off the ground.  Will the dart hit the turkey?  Explain your reasoning.

12. What is the maximum height the dart can reach?

13.   Simplify these rational expressions

(a) (-6x)/(3 times the square root of -24)

(b)   (5-3i)/(7+i)

14. Divide using synthetic division:     (3x³ + 4x² -8) divided by (x +4)

15. Solve by factoring:  2x³ + 3x² -8x -12 = 0

16. Write a polynomial with zeros at:

a.     1, -1, 4

b.     -3, 1/2., 1/3

c.      2i and square root of 5  
                                   

17. Draw a graph with root at -3, 1, 4; a y intercept at 12.

18. Draw a graph with root at -1/2, 1, 2; a y intercept at -1.

19. Draw a graph with root at -3, 2 and a double root at 5; and negative even end behavior.

20. Write the new function to f(x) = x³ + 5x² + x-8  if it is transformed by:

a.     a horizontal reflection and a vertical translation of +6

b.     a vertical stretch of 1/3

21.  Write the equation of an ellipse if the coordinates of the foci are (0. 16) and (0, -16) and the length of the major axis is 20. (Hint: Sketch a picture)

22.  Graph:  4(x – 2)² + 16(y+3)²  = 64                 

23.   Put in standard form and graph:   x² + y² -6x -8y + 15 =0

24.  Graph:  y + 1 = -(x-2)²

tuesday 11/25

for all classes there is no hw for tonight or tomorrow.

if you missed the test or quiz today you need to make it up.

Happy Holidays!

Monday 11/24

alg II P - no hw


alg II HP -- study!!!!!!!!!!


alg I P - p. 340 #17,18,20,24

friday 11/21

alg II P = no hw; enjoy the weekend.


alg II HP - study for that test on Tuesday


alg I P - you have your hw packet due on Monday; check the past blogs to see which assignments - 3 assignments out of the textbook

thursday 11/20

alg II P - door decorating tomorrrow!  Also , you are supposed to do those problems from 8-6 #30-40 evens


alg II HP - study!!!  This is a test that can raise your grade and get you close to the next level.  Also, #42,43,45 in section 10-6


alg I P - finish #3-8 in 6-2 section of book  p. 340

wed 11/19

alg II P _ - p. 614 text #5-10


alg II HP - p. 764 #22-25  text


alg I P - no hw

tuesday 11/18

alg II P _ no hw


alg II Hp - finish those problems from class 9,11,12 from section 10-6 in text


alg I P - finish problems from class #13-17 from section 6-1 in text

monday 11/17

alg II P -  no hw; we do a lot of review and plow ahead to explore conics tomorrow!


alg II HP- finish problem #37 in section 10-4 of text


alg I P - p.  332 #2-8   in text

Friday 11/14

alg II P  =  no hw; test went pretty well.  we averaged a 70% on a tough test.

alg II HP - no hw; we will continue doing hyperbolas on monday


alg I P - early results on the test are good!  no hw.
turn in p. 66 rfm on monday

Alg II HP Conics Review Guide-updated for the second time!

Ch 10 review   alg II   Parker test

Believe it or not...people actually requested the review guide for the Conics test on the 25th.

To the best of my knowledge, this will be on the test.  About 8-10 problems.  

·      * Look at pg. 764 #9-13 for identifying conics  (10-6)

·      * Study eccentricity of ellipses and hyperbolas, which would be challenge problems in
10-2 and 10-3.

·      * Be able to go from graph to equation and visa-versa.

      *  Do Domain and Range for any type of conic in interval notation.

         You will be expected to know the standard equation of each type of conic, but I will give the formula for eccentricity.

   

I've changed my mind about the word problems.  Let's have two!  I am thinking something like the whale problem from 10-4 (hyperbolas).    And the lizard problem from 10-6.

·      There are a lot of practice problems on pg S22 in the back of the book (skill practice).

wed 11/12

alg II  P - study for your test!!!!!  See review guide in prior post.


alg II HP - finish problems from class from 10-3  27-35, 42

alg I P - study for your test!!!!!  See review guide in prior post.  Also, finish p.  66 RFM.

Monday 11/10

Grades have been posted already.


alg II P - no hw but there is a test and performance task coming up!

alg II HP - no hw


alg I P- no hw but those who did not turn in a project should do so immediately!  There is a test for these classes as well!

Review Guide for Alg I test on Linear Functions

Ch 5 Test- Linear Functions

You should know how to:


Graph an equation (all of ch 5)

Write the equation for a line from a graph (5-5/5-6)

do the problem of the unit about a person walking to a friend's house p. 302

Write the equation for line from 3 points (4-5 notes or 5-5)

Write the equation for a line from a slope and a point (5-5/ 5-6)

Describe what makes a function (4-2)

Compare rates of change (slope) from a table of points (5-3)

write the equations of parallel and perpendicular lines (5-7)

friday 11/7

alg II P - no hw but don't forget about the performance task and test next week!  Study guide is the post before this


alg II HP - no hw


alg  I P  - if you did not finish the project then do so immediately.  Also, p. 247-248 is due on Monday as well.

Polynomial Review Guide for Alg II P

Test is next week!   10 problems


Solving polynom. equations - 4 (mostly 6-6)

writing equations - 2 (6-6)

sketching graphs - 2 (6-7)

word problem on volume - 1 (6-5 and 6-6)

transforming polynom. functions - 1 (6-8)

multiplying polynom (Pacals Triangle) 1 (6-2)

tuesday 11/4

alg Ii P- finish 30-36 on page 449 in text


alg II HP - no hw  rest!

alg I P - finish pg. 247-248 handout from explorations

Monday 11/3

alg II P - 1, 2-10 evens in section 6-6 of text


alg II HP - study for test; you should have turned in POU and project  already


alg I P - #26-29 on p. 309 in text