# June 2009 Integrated Algebra 31 – 39

For the answers to the multiple choice, click here.

For the conversion chart, click here.

**Notice: Feel free to try to answer other people’s questions.
Notice: before asking a question, read the previous comments to see if yours has already been answered**

*Notice: I have not seen the key. If you see I’ve made a mistake, leave a note.*

*Notice: New York State sets scoring rules in strange ways. I can guess how many points something will cost, but it is only a guess.*

#### Part II

31. 60

Arrange 3 letters out of ANGLE. or I guess you need the answer and one of those (or a list) for 2 points

32. 4x(x + 3)(x – 3)

Partial factoring, eg. x(2x + 6)(2x – 6) will probably be worth 1 point.

33. 1/8; or .125

You probably need to show the sample space at 8 (either 10 – 2 or a list of books with 2 crossed off, including 1 English book)

#### Part III

34. 56

This was the trapezoid in a circle. This question involved far too much real work for 3 points. Use the circumference, 16π, to calculate the diameter, 16 (DA). Get the other base of the trapezoid (BC) to be 3/4s of the diameter, 12. Apply area formula for trapezoid (avg of bases * ht) = 4 * (16 + 12)/2 = 56. If you did SOMETHING right, at least one point. An answer with no work is usually 1 point. If you only had one mistake, it could be 1 or 2, depending on the nature of the error. (The State likes taking 1 point for calculation, 2 points for conceptual errors). Note, the diagram was waaaay not to scale. That trapezoid should take about a quarter of the circle, but in the diagram it takes almost half.

35. $5583.86

The interest problem. $5000. At 3.75%. Over 3 years. To the nearest cent. Slow, steady: Take 3.75% of $5000. Add it to $5000. Take 3.75% of the result. Add that. Repeat. Fast way: I have no idea how they will score this problem (3 pts). If it were me, I would award at least one to a kid who converted to the right percent. Really. Or, one point for getting the first year interest, and stopping, or just tripling it. We’ll see.

36. Correctly plotted points. An estimated line of best fit drawn. An equation for the line. Close to y = 5x + 25

You should have a 0 on both axes. The line should be straight, and pass near most points. Slope should be between 3 and 6, around 5 is good. Y-intercept should be in the mid-20s, though into the low 30s might work.

This is not a good question. You should know what a line of best fit is, but I don’t think we should be guessing at them, eyeballing them. Plus, even if you think the best line is a smidge steeper, the State is rewarding you for picking an easy-to-calculate slope. Bad State.

#### Part IV

37. 39 feet; 63 feet

You probably use tangent to find the distance from the pole to the stake, and then either sine or the pythagorean theorem to find the length of the wire. I’ll bet they take off 2 for messing up either one of these, plus they’ll take 1 if you don’t round, or don’t round correctly. Bravo, by the way, to those of you who saw Pythagoras and used him.

38. Completed table; Completed histogram. Freqs: 4; 5; 4; 8; 7; 2

I’m guessing you lose 2 for making a cumulative freq hist instead, but that’s a guess.

39. (5,-4) and (-1,8)

Correctly graphed line (y int 0,6, drops steeply to the right); Correctly graphed parabola (vertex at 3,-8, opens up, y int 0,1); 2 points of intersection marked, labeled. Many deductions will come from carefully drawn graphs, but no solution labeled.

for 32 isnt it 4x(x+3)(x-3) the gcf was 4x not just 4

Yes, thank you. Corrected.

What is the question for #32?

help number 37

Thank you so much whoever created this, you helped me so much on my home work. I take the 2010 regents in two weeks! =)

wait… for number 32. could u of put 4x(x-9)?????

no you cant put that as your answer bec. 4x(x-9) only gives you 4x to the 2 minus 9

it will look like this,4×2 -9 but the origenal was 4×3-9

For 32 I also put

4X(X-9)

woudln’t tht be correct?>

no you cant put that as your answer bec. 4x(x-9) only gives you 4x to the 2 minus 9

it will look like this,4×2 -9 but the origenal was 4×3-9

Reply

Yes..

yes

yes

not all of this is completely right!

wow ur an idiot. number 37 wasnt pathagorean theorum. u needed to use the sin/cos/or tan! and how do u kno that all the answers u gave are all right?!!?

Once you have 50 and 39.06 (the two legs of the right triangle) you can use the Pythagorean theorem to find the hypotenuse. , right?

how did u get 39?

yea thats right 39×39 + 50×50 will equal the hypotenuse..which is 63 i think

Yes, but it’s not the best idea to use pythagorean theorem since you rounded one side. Just to be accurate and completely sure I got the right answer, I used trig.

I’ll respond, despite that god-awful e-mail account name.

If you are doing trig on the calculator, you have the unrounded side on display after you got the first answer. Square it, add 2500, take the square root…

That avoids the rounding issue. (You are right, if you round first, you can get into trouble)

sure. once you find the measure of the side adjacent to 52 degreesm which is 30 feet, you can use either the Pythagorean Theorem to find the length of the wire from the stake to the top of the pole or find the sine of 52 degrees, which is 50/x.

this person did all this work just so you could check your answers…. do notttttt call them an idiot.

Yes you did have to use pythagorean theorem ( a^2 + b^2 = c^2 ) to get the length of the wire! The 1ST part of it was either TAN/SIN/COS, THEN it was pythagorean theorem. Before you call someone an IDIOT you need to check yourself first, not to start drama, but watch yourself. This person, just like Jaclyn said, did all of this work, typing all of this , taking their time out for YOU, and your gonna call them an idiot. ANYWAYS, thank you for posting these answers, cuz in my class im the TOP in my class so i checked them and YES these answers are correct! (But you can also use cos i believe besides pythagorean theorem, but pythagorean theorem, to me, is easier)

For the trapezoid problem, pythagorean theorum wasn’t needed. The height of CE is 4 inches so the height of the center point of the circle to the top of the trapezoid is 4 inches as well. The length of AD is 16 inches and the length of the top line (can’t remember the letters) is 3/4 of AD which is 12 inches. The area of a trapezoid is 1/2h(b1 + b2) => 1/2 x 4 ( 12 + 16 ) which equals 56 inches squared.

For the factoring problem, 32 I believe is (4x^3 – 36) => 4x(x^2 – 9) which factors into 4x( x + 3 )( x – 3)

do u know where u can get a copy of the actual regents? to see the questions? cuz i’m pretty sure u made a lt of mistakes

F0r #33, the problem had one of the girls take an English book so before Truman had to randomly pick a book so shouldn’t the answer be 1/8?

Yes. Corrected. Thank you.

i got 1/4 and how did you get 1/8 please show me

there was 10 students and 2 textbooks were taken out so you subtract that and its 8. There were 2 english books but because one was taken out its 1/9 and since there was another book taken out its 1/8.

#33 is 1/8

cuz it said some girl took one English book so there r only one english book left

um… i dont think u got #37 correct

There were 2 parts to #37. The first one you must use tan. The second part you can use the pythagorean theorem, since you already know the length between the stake and the pole.

At first I used cosine. When I was checking my work, I freaked out because I made a huge mistake in PEN! So, I had to cross everything out and show my new work in a teeny, tiny corner that I left behind. I hate my huge handwriting. :)

please post Q32

Factor completely:

Do you have the #’s for 38

im not sure if i got this one correct….so do u mind showing me how to do it?

thx!

question 36 is wrong it is y=x+25

in the line of best fit, I don’t recall the slope being that steep.

You probably used different units on the x- and y- axes. Most students let 1 box equal 1 day (x) but 5 tickets (y). As a result, a slope of 5 looks like a slope of 1 on a normal graph.

how many pts off for the wrong slope would you guess?

if u forget to put a break on the graph will you lose all 4 points

maybe 1 point, maybe nothing

for #34 i thought it said area is 16 pi so i did everything right except i got 28 bec since i thought it was area so the diameter was half it should be . how many points do u think i will get off?

I would take off one. I bet the State wants us to take off 2.

i got 64 because i didnt really understand. but when i was checking over i got 54. how many points am i going to get take off for that.

for #36 i got y=x-2

please answer, how many points would i get off for writing the wrong slope on 36 or forgetting to put a break on the histogram. =[

all of these answers seem correct to me… but when i entered the formula for line of best fit on my calculator i got 4.5x + 27.3 …. do you think they will accept that?

I think they’ll accept that, I also used the calculator. There will probably be a range in slopes and y-intercepts so I don’t think you have to worry too much.

If for 38 i messed up and got 7 instead of 8 and 5 instead of 4 how many points they take off. Also if i

made my graphs labeled them but only labeled 1 solution how many points wud they take off

These are the sorts of questions that are often not clear even after we see the rubric (which I haven’t).

If you forced me to guess, I’d take off one point in the first instance (counted one number in the wrong category) and I’d take off two points (maybe one?) in the second, since the error seems to be conceptual.

But these are guesses.

i didnt label the solutions on my graph-i wrote them outside of the graph though. is this okay?

I think so.

I wrote this:

Solution set: {(5, -4), (-1, 8)}

That’s an acceptable form, right?

#36

i did it on my calculator and got y=4.5x+27 but on my graph i just drew a random line that passed through or near all the points. will they accept that?

yes i did the same! is it acceptable??

If you drew the graph and used the calculator to find the line of best fit, then I would grade it correctly. There is no single equation in the rubric because the “reasonable” line of best fit can vary.

When I made my own answer key on Friday, I used y= 5x + 25, which looked reasonable to me.

This is one of those questions that is better left to technology if they want a more accurate answer — and why not, if the accuracy is there for all who can do it.

please post questions.

what would happen if i drew my parabola and line but it only showed one solution.

like i know it would cross at two points, but on my graph it only showed one of them because i didn’t draw my parabola as long.

for the last question i knew it would cross at two points, but i didn’t draw my parabola long enough and so it only showed one intersection .

but i drew arrows on the parabola to showed that it went on.

would i get off for only saying one intersection

There’s definitely a deduction – and there’s definitely some credit. Out of 4? You could get 1, 2, or 3. They’ve been harsh on this kind of error (you should have known to look for a second point) so I’ll guess that you might get 2, but probably just 1 point.

I just took it this Friday, and it seems like I did ok.

I didn’t use my calculator, I just used y2-y1/x2-x1 = slope.

Thank you do you know what the multiple choice question to 7 was

are u a.s. from yty

yz

Multiple choice are here: https://jd2718.wordpress.com/2009/06/20/june-2009-integrated-algebra-regents-quick-answers/

how many points would i lose if didnt write an equation of a line?

I’m going to guess a 2 point deduction. But it’s only a guess.

can you please post the questions cus i barely remmber what i put lol.

for the factoring question, if i did 4x(x-9) would i get any credit?

also for the tan and pathoris question i did the right formulas i guess you could say but i think i got 46 and 68, would i receive any credit for that?

and lastly any news on the scoring sheet yet?

1. The factoring question is worth 2, so you could get either 0 or 1 point. It looks like 0, since even that step is wrong. But I am not certain, without the rubric, that there is not a more positive interpretation.

2. Right formulas? It depends on exactly what you did.

3. We have the score sheets, I just haven’t seen them. The conversion chart is on-line (this list has the conversion charts for all the regents that took place last week): http://www.emsc.nysed.gov/osa/concht/june09/home.html

i mean that i did tan and then patagoris, but i got the wrong numbers

and i think it was 4x^2 not 4x, does that change anything?

Can i find the actual exam anywhere?

JMAP will post it, soon. Probably tomorrow.

I hope so! I’d like to look at it again.

This is my second regents in total, so I’m pretty frightened about my score.

my answer for the question that asked u to find the area of a trapezoid was 56 inches squared

me too!!

Me three!!! YAY! :)

please post Q21

Wrong discussion. Try: https://jd2718.wordpress.com/2009/06/20/june-2009-integrated-algebra-regents-quick-answers/

what were the original equations for 39?

for question 31 my answer was 15 which is wrong. would i get any points is i showed a tree diagram?

Depends on the tree. You might get 1. You might get 0.

where can i find the conversion chart

http://www.emsc.nysed.gov/osa/concht/june09/home.html

on 39 lets say i only got 1 point of int. how many points deducted???

how many points will be taken off if i made one rounding error in question 35

-1

for number 35 how many points will i get of for using PRT(5000)(.0375)(3)

Depends on the rubric. I’m guessing you’ll only earn 1 point, but it could even be 0. We have to see what the State asked for.

what were the #’s in 38

for numer 35 how many points will i get off for using PRT and just multiplying the 3 numbers?

Assuming all your work was shown and all other steps are correct, that would be one conceptual error. That would be worth 1 point.

Your answer would have been $5,562.50

would u looser points if u rote for #34 56 pi? if yes, how many points?

-1, I think.

i think you got 37 wrong. the hypotenuse came out to be 81.

and i put y=x+30 for the equation on the best fit line….do you think they’ll take that?

No. It’s a 3-point question. I don’t know if they will deduct 1 (my guess) or 2 (I’m often wrong).

and i dont think 39 was the other length of one of the sides of the triangle. along with the exponential growth question, i put 5583.90. will i actually get points off for that

You should lose 1 point for a rounding error.

wouldnt dat b unfair 2 take off 2 points from a question thats 3 points for not doing the equation of the line?

Yes. The rules for grading these are often unfair. Teachers are more upset about the rules than students!

They didn’t ask for the solution to be marked.

I circled all my answers – just in case. But I think my teacher will get my point.

They said “solve” – so you need to show them a solution. I don’t know if having the curves cross is going to be good enough. Maybe.

I’m sorry. I forgot to mention that I wrote out all of my answers as well.

For number 37 if you use tangent which is opposite over adjacent and the measure of the angle was 52 degrees and the opposite side is 51 and then the adjacent would be x so if you divided tan 52 by 51 you would come out with a decimal wouldn’t you?

i messed up for question 39 but i didnt circle the solution and i didn’t put the correct solution but i graphed it correctly and i put the chart from my calculator in it. how many points will i get off?

Can someone(anyone) please show the questions?

how do u find the equation to q #36

you just make a line through two (or more) points you feel would make “the best fit line”. You use those points to find the slope(y2-y1 over x2-x1) then you use one point and plug it into y=mx+b. That would be the equation

what was the data for the histogram

how much is each multiple choice?

2 points

60 points for 30 multiple-choice problems.

does anyone remember #9 w sq rt of 34 as the answer?

Can you post the questions for numbers 7, 12 and 15 please? Thanks!!

Also, I know this is really really stupid, but I forgot to write the solutions to the very last problem. I just drew the lines. Is that full 4 points off?

tall enough to ride

numbers add to 47, difference is 15

box and whisker

I used simple interest to find the answer to number 35 and I got a different answer. How many points will I lose?

I’m guessing you’ll only get one point for that.

How many points off for y = x + 25 on line of best fit question?

Umm, wasn’t it y=4.5 to 5X minus 25 to 27.3?

I mean a range. Like the slope could be from 4.5 to 5X and the y-intercept could be in the high 20s…

I know, I did the wrong slope. What I’m saying is how many points would I get off for not putting 4x + 25 as the slope, but rather x + 25?

Hi, I’d just like to say this is pretty useful. I remember most of my answers, so I checked them against these. I used my graphing calculator for most of the problems, and I checked my work on Friday with actual pen and paper. I think I got most of the problems correct, but tomorrow I will find out my actual score from my math teacher.

I’d also like to say thanks for taking time to do this. I was looking everywhere for some answers! :)

Is this what they mean by allowing basic XHTML?

You can use a few bits of HTML. I think (b)bold(/b), (a)link(/a), (i)italics(/i) are the major ones. Just instead of parentheses, use less than and greater than. WordPress will correctly interpret.

Also, you can use latex, which is way cool, if you can figure it out. I put some simple directions here.

Latex let’s you type real fractions and square roots and math symbols and things like this:

I’d just like to say thank you thank you thank you for posting these answers up so quickly…I think I might have lost a few credits here and there. For the bank problem with the 3.75% and everything, how many points do you think they will deduct if I rounded to the nearest “ten cent” or something? Like, I put 90 cents instead of 86 because I read the requirements wrong. Also, what if our line of best fit was a little off? For that question, would they be lenient and accept a different range of y-intercepts, for example from 20-30? Thanks!

they’ll deduct one point.

Okay, thanks.

for the second part of 37 i still got the right answer even though i used cos instead of using pytagoreon therom

works just fine.

and for the line of best fit i got it right but my teacher said u can’t shorten the really long numbers you get for the equation in the calculator. so i wasted my time writing it all out.

mg…what was question 7&9

idk

how bout 12 or 16

i mean sin

Number 35 is incorrect. If you use the formula I=prt the following is the answer. (It stated that the ANNUAL interest was 3.75%)

-I=prt

-I=(5000)(.0375)(3)

-I=$562.5 (rounded to the nearest percent is $562.20)

Sorry, Anonymous. You must use the formula A=P(1+r) to the power of t because we’re dealing with compound interest, not simple interest.

A = the amount of money you have over time

P = original amount of money invested

r= interest rate (must be in decimal form)

t = time in years (for this problem)

grateful girl seriously who do you think you are telling people they did the wrong thing and correcting them and acting like your so much smarter than everyone else whos commenting on here.

I’m still wondering why the State did away with Math A. I don’t think there’s a good enough excuse, no matter what they say. I wanted to take a stab at that test, and have it count, as well. Oh, well. What’s done is done. But what did they replace/plan to replace Math B with? Algebra 2/Trigonometry? Gross.

It’s kinda like the old system New York had in place before Math A and Math B… for 50-60 years Regents had a three course sequence which will align very closely to the three course sequence now (algebra, geometry, trig). For years, New York just called this sequence:

Sequential 1 (algebra)

Sequential 2 (geometry)

Sequential 3 (trigonometry)

Wait, in question 39, i dont remember the question asking to state the intersection points.

Doesn’t the line of best fit depend on the scale used for the graph can someone post the values for the graph the day / amount of prom

could you post the frequency chart please i want to know why i got off two points

could you please post question 38 including the chart

part 1 questions are worth 2 points

part 2..is worth 3 points a questions

part 3 is worth 4 points a question

is this correct???

part 1 (multiple choice) 2 pts each

part 2 – 2 pts each

part 3 – 3pts each

part 4 – 4 pts each

is there a copy of the exam available?

Did anyone realize mistake on #34. CE does not = 4

damn. I knew it wasn’t to scale. to get the ratio 3:4 the central angle needs to be about 40 degrees. But no, I didn’t stop to look at the altitude. Of course it makes no sense. Thank you.

so does that mean 2/3x+30 would be closer to the correct answer?

oops! wrong question.

for that question i believe i got 28

for # 31, I put they could only make 1 word for Angel, such as Leg without repating any of the letters. Then I put an explanation that since there is only 5 letters, you can’t make another word, because it is less than double the letters.

t

for number 37 and 38, I switched the tan and sin. for 37, I got 39, but didn’t use the pyathgorean therom

and for 38, I got 52 b/c I used sin for that one, how many points would be taken off?

For 39, How many pts would be taken off if you didn’t write the intersecting point, b/c I don’t think that said that in the directions

I’m really nervous!!

i got the correct answer…but i blanked out and forgot how to do the tree diagram so i explained what i did….would i get full credit?

great stuff this was a big help, way to get it all out in the open! thanks!

For the prom ticket one with the scatter plot, i wrote the equation separately but not on the graph. Will that lose points? And for the parabola and line, I didn’t mark the solutions on the graph but wrote them above the graph and circled it. Is that fine as well? Thanks for posting the answers as well!!

im pretty sure that would be good cause u did everything they asked but i probably got one point off on that question cause i didnt state both solutions

for number 36 it should be a slope of 1 not 5 it is clearly stated if u did the math correctly

say you accidently forgot to draw the best fit line…..*oops*….how many points would you lose?

For number 33, wasn;t there 7 books to start out with. 2 English, 1 something else, and 4 Social Studies?

For 39, if I drew the graph correctly and gave them the two solutions like this (x,y) would I get full credit?

It didnt ask for a solution though

I don’t really get # 19 are you sure about it?

wrong question, sorry

where do you get the test itself?

90

thanks for these answers

what if you forgot to draw the best fit line, how many points would they deduct from your score?

The points were bascially:

1 point for plotting the data correctly

1 point for the line of best fit

1 point for the equation of the line

This whole Regents was stupid even though I know I did good on it. The interest rate question was really dumb, though.

i still dont understand how to do #34 please show me step by step -_- i took the regents and this was one that i got wrong!

Please help

i got a 99 on the regent and i’m still trying to figure out what i got wrong. did i really get a point by #36 because i didn’t label both axes with a zero?

u make no sence on most of the problem. u need 2 explain it better

dude, come onnn. not many of these are right. get some help.

Thank you for posting this

Hi I was wondering how did you get # 37 part a and b what would you type in on the calculator

For #38, would I get points taken off for not putting a title on the histogram? It says to label, and I labeled the Interval and Frequency but would any points be taken off for not including a title?

For #31, where did you get the 4 from when you multiplied 5 x 4 x 3??

LOL, sry for asking such a stupid question. i totally forgot how to do this. im really gonna faill D:

because it says the letters can’t be repeated so every time you make an arrangement 1 letter is out

work for #15 i got 587.5 as the interest rate, 587.5

its learning to math formula