Thursday, August 14, 2008

8/13 SAT WORK (Session 2)

BOOK: The Official SAT Study Guide: For the New SAT

SCORE: 14/18

One of them was a careless mistake.. i'll do half a section or whatever

1.




8/13 SAT WORK (Session 1)

BOOK: The Official SAT Study Guide: For the New SAT

SCORES:
-Section 1: 18/20
-Section 2: 14/16

I spent some more time on each section and i made sure i had no careless mistakes!

INCORRECT ANSWERS:
-Section 1:

1. If y=(5x^3)/z, what happens to the value of y when both x and z are doubled?
* y in not changed
*y is halved
*y is doubled
*y is tripled 
*y is multiplied by 4

My answer was the 'y is doubled' because i used my own numbers for x and z. x= 2 and x=4, therefore making y=5(x^3)/z equal 10. Then the new equation was 5x^6/z^2 and i got 20. I know i shouldn't put in my own numbers but how else would you know what happens to y?

2. In the figure above, three wires are braided. That is, by starting in the order A, B, C, the outer left wire A is brought over wire B to the middle position, forming the order shown in step 1, then the outer right wire C is brought to the new middle position shown in step 2 and so on, alternately bringing each new left  and each new right wire to the middle. At what numbered step does the braid first repeat the original order A, B, C?

My method was more hands on.... i braided my own hair and got 5.

The answer was 6 .____. I guess my method should die.

-Section 2

1. g(n)=n^2+n
   h(n)=n^2-n

*g(m)
*g(m)+1
*g(m)-1)
*h(m)+1
*h(m)-1

Which of the following is equivalent to h(m+1)?

I don't understand this problem. i do not even see the variable m in the equations given, so i feel like its really random and could mean any number.

2. In rectangle ABCD point E is the midpoint of line BC. If the area of quadrilateral ABED is 2/3 what is the area of rectangle ABCD?

*1/2
*3/4
*8/9
*1
*8/3

I thought this was a trick question so i put 1 down because it's 2/3's of the rectangle..

& sorry for the bootleg pictures.
my camera is spazzing and is like broken
it's a camera picture

Tuesday, August 12, 2008

8/12 SAT WORK (Combined Session 1+2)

BOOK: The Official SAT Study Guide: For the New SAT

SCORE:
-Section 1:16/20
-Section 2:12/16
-Section 3:15/18

INCORRECT ANSWERS:
-Section 1

One of them was a careless mistake so i just wont mention that.

1. If x^3=y^9, what is x in terms of y?
*Square root y
*y squared
*y cubed
*y^6
*y^12

Well the general rule for division is to subtract. So i did, and i got y^6, but the actual answer is like y^6?

2. If k, n, x, and y are positive numbers satisfying x ^-4/3=k^2 and y^4/3 = n^2, what is xy^-2/3 in terms of n and k?
*1/nk
*n/k
*k/n
*nk
*1

I was confused with everything, my main problem being negative & fractional exponents.

3. The figures above show the graphs of the functions f and g. The function f is defined by f(x) =x^3-4x. The function g is defined by g(x)=f(x+h)+k. where h and k are constants. What is the value of hk?
*-6
*-3
*-2
* 3
* 6

Okay, so i found out what f(x) = x^3-4x was, and it was -3. But then i put that in the other equation and i was not sure where to get the h and the k from? 

-Section 2:
One of them was a careless mistake so yeah.
1. If a and b are positive integers and a^2 -b^2 =7, what is the value of a?
*3
*4
*5
*6
*7

I broke it down to (a+b)(a-b)=7, meaning that a-b had to equal 7 in one of the cases. 7  was the only integer in which b would be positive. Suppose that a was 6 then b would have to be -1, but since both integers have to be positive, i thought that b couldn't be anything under 7?

2. In the xy coordinate plane, line m is the reflection of line l about the x axis. If the slope of line m is -4/5 what is the slope of line l?
*5/4
*4/5
*1/5
*-4/5
*-5/4

Since it's a reflection, shouldn't the slope still be constant?

3.


I tried a bunch of things and got like 3.

-Section 3

Two of these were careless mistakes so i wont mention them.

18. The average (arithmetic mean) of the test scores of a class of p students is 70 and the average of the test scores of a class of n students is 92. When the scores of both classes are combined, the average score is 86. What is the value of p/n?

I don't know how to set up this equation

8/11 SAT WORK (Combined Session 1+2)

BOOK: The Official SAT Study Guide: For The New SAT

Section 1: Score 16/18

INCORRECT ANSWERS:

1. A school ordered 600 $ worth of light bulbs. Some of the light bulbs cost 1$ each and the others cost 2$ each. If twice as many 1$ bulbs as 2$ bulbs were ordered, how many light bulbs were ordered altogether?

Okay so i got 300$ worth of 1$ light bulbs and then 150$ worth of 2$ light bulbs and then by accident i had 150 instead of 300. This was all a careless mistake.

2.  The three dimensional figure above has two parallel bases and 18 edges. Line segments are to be drawn connecting vertex V with each of the other 11 vertices's in the figure. How many of these segments will NOT lie on an edge of the figure?

I mainly didn't understand this problem because i thought that all of the segments lie on the edges. I am really confused so I put 0, but the real answer was 8.

Section 2: Score 11/16

The rest were careless mistakes besides the following two:

1. The number that results when an integer is multiplied by itself CANNOT end in which of the following digits?
*1
*4
*5
*6
*8

I immediately crossed out 1 & 4 because 1 can be multiplied by 1 to equal 1 and 2 can be multiplied by 2 to equal 4.  5, 6 and 8 cannot be multiplied by anything to equal that....

but the answer is 8?
2.  In the figure above, what is the sum, in terms of n, of the degree measures of the four angles marked with arrows?

*n
*2n
*180-n
*360-n
*360-2n\

My answer was 360-2n. This was because i thought that in order to get the inside angle that wasn't defined yet, i should minus n from 180. That's what i did, and then i added 2n from the other angles and i got 180 -n +2n which brought me 180-n. Then i multiplied it by 2 and got 360-2n. 

The answer was 2n?

Section 3: 15/18

One of them was a careless mistake, so i won't mention that.

1.NUMBER OF SIBLINGS PER STUDENT IN A PRESCHOOL CLASS

Number of Siblings:            |       Number of students
0         |       3    
1 |       6
2 |       2
3 |       1

The table above shows how many students in a class of 12 preschoolers had 0 1 2  or 3 siblings. Later, a new student joined the class and the average ( arithmetic mean ) number of siblings per student became equal to the median number  of siblings per student. How many siblings did the new student have?


This question just confused me. I still don't understand it.

2. h(t) = c - (d-4t)^2

At time t=0, a ball was thrown upward from an initial height of 6 feet. Until the ball hit the ground, its height in feet, after t seconds was given by the function h above, in which c and d are positive constants. If the ball reached its maximum height of 106 feet at time t=2.5, what was the height, in feet, of the ball at time t=1?

This is how i went about the problem:

106=c-(d-4t)^2

106=c-(d-10)^2

106=c-(d^2-20d+100)

106=c-d^2+20d-100

206=c-d^2+20d

Since i have two variables, i realized there must  be a problem in the way i set this up 



Thursday, August 7, 2008

8/8 SAT WORK (First Session)

BOOK: The Official SAT Study Guide: For the New SAT

SCORE: 14/20

Three of these were careless mistakes. They were really easy and we don't need to go over them. I need to get rid of them!

1. The graph of y=f(x) is shown above. Which of the following could be the graph of y= f(x+2)?

I thought that the "dip" had to be on 2. But i guess that the inclined line has to be on 2.

2. If a,b,c and f are four nonzero numbers, then all of the following  proportions are equivalent EXCEPT:

*a/f=b/c
*f/c=b/a
*c/a=f/b
*a/c=b/f
*af/bc=1/1

I tried the numbers 2,3,-2,-1 respectively, and none of the five answer choices worked! When they said a,b,c and f, did they mean 3 consecutive numbers?

3. For all numbers x and y, let the operation "circle" be defined by x "circle" y=xy-y. If a and b are positive integers, which of the following can be equal to zero?

I. a "circle" b
II. (a+b) "circle" b
III. a "circle"(a+b)

*I only
*II only
*III only
*I and II
*I and III

I tried two sets of numbers
7&1 
3*4

none of them worked !!

What was i doing wrong?





8/7 SAT WORK (Second Session)

BOOK: The Official SAT Study Guide: For the New SAT

SCORE: 13/16

INCORRECT ANSWERS:

1. The graph g(x) is shown above. If g(k)=1 which of the following is a possible value of k?
* -1.5
*-.5
*1
*1.5
*2

I thought it would be 1 because g(k)=1... Another function problem.
You know what i am gonna say
I'll go over it on the weekend. But explain this to me for now..

2. A regulation for riding a certain amusement park ride requires that a child be between 30 inches and 50 inches tall. Which of the following inequalities can be used to determine whether or nor a child's height h satisfies the regulation for this ride?
A.|h-10|<50
B.|h-20|<40
C.|h-30|<20
D.|h-40|<10
E.|h-45|<5

So i brought it down to two choices, D & E.
I used two numbers to plug in: 25 & 55. If a number made the sentence correct, than that letter was not an answer. And then i was dumbstruck when i came down to the last two. What should be my approach be?
3. The pattern shown above is composed of rectangles. This pattern is used repeatedly to completely cover a rectangular region 12L units long and 10L units wide. How many rectangles of dimension L by W are needed?
*30
*36
*100
*150
*180

.. um i really need help..


& I don't think i will do another session today. It's been a very short day as i woke up at 2:30 and i'm sort of tired. All this work is really wearing me out. 

I will be back on schedule tomorrow.

Thanks for everything and enjoy your birthday 

8/7 SAT WORK (First Session)

BOOK: The Official SAT Study Guide: For the New SAT

SCORE: 15/18

INCORRECT ANSWERS:

1. If m & k are positive and 10m^2k^-1 = 100 m, what is m^-1 in terms of k?
*k/10
*k/90
*square root of k/10 
*1/10k
*1/90k

i really need to review negative exponents. That's my main problem. But can you please explain me this ?

2. Let the function f be defined by  f(x)=x+1. If 2f(p) =20, what is the value of f(3p) ?

Okay so my answer was 27, but i was off by one. But i think i was totally off in my method, although the answer was actually 28.

What i did was first isolate 2f(p)=20, to get f(p)=10. Then i put the 10 in the x spot, to get 10=x+1, so x=9. Then i put 9 in the p's spot to get 27. My method sounds wrong. 

3.In the xy- coordinate plane, the distance between point B(10,18) and point A(x,3) is 17. What is one possible value for x?

My answer was 8, but the actual answers were 2, and 18. I actually do understand how they got this. First you have to know what the distance formula is. Then square 17 to get 289. 18-3= 15, then you square 15 and get 225. 289-225 is 64. That is how i got 8. But then i forgot to plug it back into the problem and either add or subtract 8 from 10.