Monday, December 15, 2014

Test B Problems and Solutions

1. What is the intersection of y = 3x+4 and y=x-2
   Since they are both equal to y, that means that:
   3x+4=x-2
   2x+4 = -2
   2x = -6
    x = -3 and plugging -3 into y=x-2 we get y=-3-2 or y=-5 so the point of intersection is (-3,-5)
Let's check our answer by plugging those x and y values into our original two equations.
 (-5)=3(-3) + 4 and (-5)=(-3) - 2
-5 = -9 +4 and -5 = -5 Well, those are both true so we have found the point that satisfies both equations.

2. Find the two points where y=|x-4| and y=2/3 x - 2 intersect. Leave the coordinates as impro
per fractions or integers.
Either y = x-4 or y= -x + 4  Now let's plug in 2/3 x - 2 for y in each of the two equations.
2/3 x - 2 = x-4  or 2/3 x - 2 = -x +4
-2 = 1/3 x -4    or   5/3 x - 2 = 4
2 = 1/3 x       or      5/3 x= 6
6 = x             or      x= 18/5     Now let's y=2/3x -2 to figure out the y value.
y = 2/3(6) - 2  and y=2/3(18/5) - 2
y = 4 - 2          and y = 36/15 - 2
y = 2              and y = 12/5 -10/5
                      and y = 2/5
The two points are (6,2) and (18/5,2/5)

3.Write as a trinomial in descending order: (2x+7) (9x-4)
 18x2 - 8x + 63x -28 = 18x2 + 55x -28 

4. (x2 - 4)/(x  + 2)
There is no x term in the numerator so the coefficient is zero. So the question is what two numbers add to zero and multiply to negative four? Ans. 2 and -2. 
Hence simplify to ((x+2)(x-2))/(x+2) = x-2 =c

5. What is the length of the diagonal of a square of side length 2√15 m, in simplified radical form. Use the Pythagorean Theorem: (2√15)2 + (2√15)2 = c2
Hence 4x15 + 4x15 = cor 60 + 60 = c
Hence 120 = c2  or c = √120 = √2x2x2x3x5= 2√30

Meet 5 practice

Problem 2 I thought was not difficult but no one got it right. So here it is:

.  If I would like a line with a slope of  -½  to intersect y = 2x – 5, where x=2, 
what would be the equation of that line in slope-intercept form?

    Let's think about this... we want an equation in the slope-intercept form, so my answer is going to be y=mx+b, (for example y=3x+8) where m is the slope and b is the y-intercept. But I'm going to have to figure out what m and b are. 
    Well, They give me the slope, so y=-½ x + b and all I need to do is figure out b, the y-intercept. Well, let's see ... it must intersect the line y = 2x-5 where x=2. What point is that? Well, x=2, but what is y? When x=2, y = 2x-5 means y = 2(2)-5 that's 4-5 or -1. So the point where it crosses is (2, -1). So my equation was y=-½ x + b and now I have a point, an (x,y), that satisfies my equation - namely (2,-1) So that means (-1)=-½(2) + b. Simplify to -1=-1+b or 0=b. 
So I've figured out both m and b and I can write my equation in slope-intercept form, y=mx+b
My equation is y = -½ x + 0

Grade Name P5a M5r
8 Frank Sullivan 6 39.0
5 Oscar Halverson 4 20.0
6 Noelle Wang 0 18.3
5 Cyrus Martin Risch 14.0
5 Nick Wendt 2 13.0
5 Dain Dolan 4 8.7
5 Oslo Martin Risch 2 7.0
8 Naomi Spande 5.3
5 Aidan Dolan 2 4.3
6 Lydia Houge 4.0
5 Sophia Schomer 2 3.0
5 Nicholas Reisig 2 2.3
6 Aiden Lee 2.0
6 Lily Pince 1.3
6 Emma Stevenson 0.0
5 Jake Lancaster 0.0

Grade TEAM ROSTER P5a P5b M5r
8 Aiden Jacobs     33.3
8 Abbey Dzurilla        ?        ? 30.7
7 Anthony Rocke 6   23.7
7 Ben Nickson 0 0 14.3
7 Cullen Sander 4 6 13.0
7 Steve Nickson 0 0 12.0
6 Angel Hernandez     2.7
5 Nik Zeravica     2.0
5 Victoria Dzurilla 0 0 2.0

Monday, December 8, 2014

Top Mathletes after 4 Meets

There may be a few new people, like Aiden Jacobs, who entered the top tier of whom I am currently unaware.  I will update this when the official results are posted. Looks like Frank Sullivan is going to earn a medal. Abbey Dzurilla has a good shot at the #9 spot, and can Aiden Jacobs make the top 10 after missing Meet 1?

1 Huang SPA 104
2 Polley SPA 98
3 Deneen SSP 96
4 Hlavka SPA 94
5 Chang SPA 88
6 Thakkar SPA 82
7 Bijwadia SPA 72
7 Sullivan FHMS 72
8 Moore SPA 70
9 Curran STA 56
9 Frincu SSP 56
11 Dzurilla Heritage 52
11 Konstan SPA 52
13 Winslow-Brewer SSP 48
13 Burris-Brown SPA 48
15 Lenarz SSP 47
16 Hanson SPA 44

16 Aiden Jacobs Heritage 44

Meet 4 Results

TEAM SCORES

These are sorted by Meet 4 Total

School Name and Team ---- A--B–-C Tot Cum
St Paul Academy Gold . . 76 56 40 172 660
South St Paul Maroon . . 40 20 40 100 459
Heritage . . . . . . . . 40 26 24 090 313
Friendly Hills Gold. . . 22 24 24 070 311
St Paul Academy Blue . . 34 12 20 066 390
St Thomas Academy A7 . . 26 30 08 064 252
St Thomas Academy Z. . . 18 20 24 062 096
Friendly Hills Red . . . 04 02 04 010 074
Humboldt . . . . . . . . 02 00 04 006 042

South St Paul White. . . 04 02 00 006 158

INDIVIDUAL RESULTS

HERITAGE
Heritage passed Friendly Hills by 2 points!
We didn't score as well on the team event as we usually do.

Grade TEAM ROSTER M4A M4B M4T
8 Aiden Jacobs 12 10 22
7 Anthony Rocke 4 6 10
7 Steve Nickson 2 0 2
8 Abbey Dzurilla 14 6 20
7 Cullen Sander 2 0 2
7 Ben Nickson 6 4 10
7 Skylar Janssen 0
5 Nik Zeravica 2 0 2
6 Angel Hernandez 2 0 2
5 Victoria Dzurilla 0 2 2

FRIENDLY HILLS
Heritage passed us by 2 points. We need a good Meet 5 to get back into 4th place.
Good job on the team event! You matched Heritage on event C. 
NOTE: Oscar did not get on the SPA bus. His parents picked him up at St. Thomas Academy.

Grade Name M4A M4B M4T
8 Frank Sullivan 8 10 18
6 Noelle Wang 4 4 8
5 Oscar Halverson 2 8 10
5 Nick Wendt 2 2 4
5 Cyrus Martin Risch 6 0 6
5 Oslo Martin Risch 0 0 0
8 Naomi Spande 0 0 0
5 Aidan Dolan 0 0 0
6 Lydia Houge 0 0 0
5 Dain Dolan 2 2 4
6 Emma Stevenson 0
5 Sophia Schomer 2 0 2
6 Aiden Lee 0 0 0
6 Lily Pince 0 0 0
5 Nicholas Reisig 0 0 0
5 Jake Lancaster 0 0 0

Sunday, December 7, 2014

Individual Stantdings - Top 20


Place Name School Score
1 Huang SPA 76
2 Polley SPA 74
3 Deneen SSP 70
3 Hlavka SPA 70
5 Chang SPA 66
6 Moore SPA 60
7 Thakkar SPA 58
8 Bijwadia SPA 54
8 Sullivan FHMS 54
10 Lenarz SSP 47
11 Konstan SPA 44
11 Hanson SPA 44
11 Winslow-Brewer SSP 44
14 Curran STA 40
15 Burris-Brown SPA 38
15 Frincu SSP 38
17 Dzurilla Heritage 32
18 Wang FHMS 31
19 Valeti SPA 30
19 Path SSP 30
19 Nickson S. Heritage 30

Monday, December 1, 2014

Team Assignments for Meet 4

Meet 4 is at St. Thomas on Dec 8.
Heritage will have early dismissal at 2:50
Friendly Hills - meet at south circle at 3:20 - I will come in from our bus we will leave at 3:25

HERITAGE

8 Aiden Jacobs 8 2 38.0
7 Anthony Rocke 10 0 38.0
7 Steve Nickson 0 0 24.5
8 Abbey Dzurilla 0 2 22.0
7 Cullen Sander 0 2 17.5
7 Ben Nickson 0 0 14.5
7 Skylar Janssen     6.5
5 Nik Zeravica 0 0 5.0
6 Angel Hernandez 0 0 3.5
  Victoria Dzrurilla 0 0 0.0

FRIENDLY HILLS
GradeNameP4bP4cM4r
8Frank Sullivan8450.3
6Noelle Wang4431.2
5Oscar Halverson2628.7
5Nick Wendt1021.7
5Cyrus Martin Risch0016.0
5Oslo Martin Risch2015.0
8Naomi Spande2013.7
5Aidan Dolan2013.3
6Lydia Houge0012.0
5Dain Dolan248.0
6Emma Stevenson205.3
5Sophia Schomer004.0
6Aiden Lee3.7
6Lily Pince3.7
5Nicholas Reisig103.3
5Jake Lancaster102.7

Monday, November 24, 2014

Scores on 11/24

Current standings - next week's score will officially determine Gold/Red/ etc for meet 4
Friendly Hills' top 6 outscored Heritage's top 6 on the practice test 51 to 41.

Heritage

8 Aiden Jacobs 12 12 37.0
7 Anthony Rocke 10 14 37.0
7 Steve Nickson 6 7 26.7
8 Abbey Dzurilla 2 2 21.7
7 Cullen Sander 3 2 17.3
7 Ben Nickson 8 4 16.5
7 Skylar Janssen 1 0 6.7
5 Nik Zeravica 6 4 6.7
6 Angel Hernandez 0 5 4.3

Friendly Hills
Name P4a M4r
Frank Sullivan 14 42.3
Noelle Wang 8 25.8
Oscar Halverson 14 23.3
Nick Wendt 6 21.0
Cyrus Martin Risch 6 16.0
Oslo Martin Risch 4 13.7
Naomi Spande 5 12.3
Lydia Houge 6 12.0
Aidan Dolan 6 12.0
Emma Stevenson 6 4.0
Dain Dolan 0 4.0
Sophia Schomer 6 4.0
Aiden Lee 1 3.7
Lily Pince 1 3.7
Nicholas Reisig 1 2.7
Jake Lancaster 3 2.0