wednesday 12/9

In case you haven't figured it out yet, it is all about studying from here on out.  Unit exits on Thursday and then your finals next week.

Look at the review guides!!

Tuesday 12/8

alg II Hp -  Monday looked really good but today looked really rocky.  We may need to vote on whether to push the quiz until Friday, which would leave 1 day to review for finals.


alg I p - keep studying!!!!!!!!!!!!!!!!!!  see review guide post earlier this week.

monday 12/4

alg II Hp -  I would try to get some studying if you are not too overloaded.  The review guide is up and from my observations it looks like most can graph from equation, some have trouble going from graph to equation and most are having difficulties putting into standard form (10-6).  On another note, most look good on the conic systems.


alg i p -  study for this unit test as it will be the most challenging and the most on the final.  The review is a post or two before this one.

alg I final review guide

Your final will be 2 parts:  1 MC and 1 free response.  There are 10 MC and 7 free reponse.   It counts as 15% of your total grade.
Most of it is from the last unit, though there is one 1-variable equation for you to solve and one "age" problem (both from unit 2).

The concepts are as follows:
writing a linear equation based on information - 3
finding a solution to a system - 6
verifying a point is on a graph - 2
understanding the slopes of parallel lines - 1
collinearity - 1 (see pg. 344)
scatterplot - 1  (see pg. 409-410)
line of best fit - 1
linear inequality - 1

Here are some problems you can work on:

1.  Write the equation that describes each line.

a)    slope = 4;  y-intercept = – 1                                                                                                                                  

c)  slope =  –1/2  ; ( 14, – 8 )                                              d)   ( 2, 6 ) & ( – 1, – 3 )  

2. Write an equation in slope – intercept form for the line that passes through ( 3, 4 ) and is

      parallel to y = – 2x + 3. 

3.  Solve each system.   a) x+y=2      2x-y=7

                           b)   y=x-4     y = -x+2

                           c)  x= 1-6y     2x - 3y = 32

4.  Christina has some quarters and dimes. There are 40 coins altogether and the

      total value of the coins is $6.40. How many quarters and how many dimes does

      she have?

5.  Solve each equation.

a)  12x  –  3  +  x  =  23                                             b)         – 8  =   4 (  x  +  2  ) 

c)    3/4 ( 8x – 4 ) + 3 = 5

6.  1.     Mr. Russell loves his chili night.  He makes 2 kinds.  The first has 3 cans of beans and 2 cans of tomatoes, which costs $10.50.  The second has 1 can of beans and 4 cans of tomatoes but costs $14.50.  How much does each can of produce cost?

7  Show all solutions to:  y is "less than" 2x-3

8.  Write an equation for a vertical line.

9.   Tell whether the ordered pair is a solution of the given system. Show your work.

    x + 3y = 6 and   4x  –  5y  =  7     point (3,1)

10.  Write an equation in slope – intercept form for the line that passes through ( 3, 4 ) and is

      parallel to y = – 2x + 3. 

                                      

                                                        

Linear Function and SOE review guide

This will be your most challenging test to date so I suggest you work hard in class and ask questions when you have them.

Here is what you are expected to know:

how to write the equation for a linear function
how to solve a system of equations
how to set up a system from a word problem
how to create a graph that shows two people of different speeds racing

Here is a video on how to solve systems
https://www.youtube.com/watch?v=nok99JOhcjo

here is a video on how to solve the word problems

https://www.youtube.com/watch?v=GFjCb-vhdhM


Don't forget to plug in the first variable to solve for the second when solving systems!

Knowing the slope formula helps but you can still find slope by plotting the points on a coordinate plane and then counting rise and run.

I saw on your projects that many of you were not sure how to write the equation for a vertical or horizontal line.  Check out the projects on the wall to see how that is done, ask us or google how to do so.

p. 360-361
p. 366
p. 385
p. 392
look at your project

A-2 HP Conics guide

I decided that we are going to need to remaining time to master the basic skills of conics so there isn't any application problems where you see the real-world context.  I think that is to your advantage as you won't have to interpret; just do what the problem says to do.


There are 6 problems

1 put an equation of a conic into standard form and graph

1  stating domain and range in interval notation

1  Writing the equation of a conic from a graph

2 writing an equation for a conic from a description

1 solving a system that includes at least one conic equation

...and an extra credit!

With the exception of the system, you should have all examples of these types of problems in your packet.

The systems are in your book on page 267.  Don't forget that there can be up to 4 answers or as low as none in some cases.

friday 12/4

alg II hp - start looking at the final study guide as well as making sure you can graph a circle, ellipse and hyperbola.


alg I p =   start studying for your linear function/ system of equation test next thursday.

alg II Hp final review guide

alg ii hp-
There will be 15 problems:  4 from radicals, 4 polynomials, 2 conics, 2 quadratics and 3 from the opening chapter on parent functions and transformations.
No matter what chapter, finding solutions and determining reasonable solutions are the top skills being assessed.




Name ___________________________   period _________  final 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

9.         Simplify i³⁰¹

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 + 18 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- 
---these disappeared when I pasted them in, however I can describe the problems.  You will have fractions with radicals in the denominator -  such as "1+ SR of 2"  or "7i."  you will have to multiply the numer. and demon. by the same value. That value should cancel out the radicals. 

(a)

(b)

                                   

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, 0 and the square root of 7

17. Write and equation for 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 and  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

25.  Write an equation for the asymptotes for a hyperbola with a h,k of (2, 1) and a=5 and b=3.

26.  Solve:    the square root of (x+4) = x – 8.

27. Solve:   -2 times the cube root of (5x-5)= -10.

28.  Solve:  the square root of (x2+3x+6) - the square root of (x2+3x-1) = 1

29.  Barbi makes Ken a box to hold his mustache collection, which is vast.  She starts with a piece of cardboard that is 14 by 11 inches, cutting out x from each corner and folding it into a box.  What is the maximum volume she can create for this box?

34. Solve:  2x³ + 3x² -8x -12 = 0

35. 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

thursday 12/3

alg II HP - finish hyperbola work, #5-8

alg I - finish system problems #25-27

wed 12/2

alg II hP -  more ellipses #15,19,21,23,24 on the ellipse page


alg I p - no hw

tuesday 12/1

alg II Hp-  finish 10-3 problems 6-8,12


alg I P - no hw