The Mid-term Exam is currently scheduled for Thursday, January 27. You will have one review day (this Tuesday), so make the most of it by working on your review packet over the weekend. Do as many or few of the problems as you like, with the understanding that ANYTHING in the packet is fair game for the test. I would appreciate questions blogged in advance so that I have a feel for what to review with you on Tuesday. DO NOT WAIT FOR TUESDAY as if that will be all you need to do. PREPARE IN ADVANCE!
IMPORTANT: Use ample amounts of scrap paper and work the problems as if they were open-ended rather than multiple choice.
I found a mistake in one of the problems (Benchmark Test 2 #16), if you think you find others, let me know.
The packet includes questions from our next unit, so you can EXCLUDE pg 28-30 #19-30 from your list.
Another good resource for studying is your old tests... look at the mistakes you made and double-check that you now understand. If you have a question on ANY PROBLEM we have done this year to this point, feel free to ask NOW!!
What a WONDERFUL DAY to work on an Algebra Mid-Term packet!!! I expect a boatload of questions by 6pm!! Get on it!!!
ReplyDeleteI was having trouble on #19 Benchmark Test 1. I kept trying a few different things but my answer never matched up with one of the choices..
ReplyDeleteI was having trouble with #25 Benchmark Test 1. I am not sure where to begin.
ReplyDeleteThe resource materials for your questions can be found in section 2-7 & 2-8 of the text book... that's a re-read for you.
ReplyDeleteThe short answer for BT1#19 is the cross-product property (section 2-7); for BT2#25, you need to understand the properties of similar triangles (section 2-8). As you all know, I expect more from my accelerated honors class than short answers and surface-level understanding.
Many of you have been taught to "cross-multiply" proportions in prior math classes. We are raising the "bar of understanding" this year.
WE recognize that the technique of cross-multiplication is granted to us from the math gods by virtue of the cross-product property, which in turn is simply utilizing the Multiplication Property of Equality twice in a row. Look back to your notes from these class sessions, as I know we presented and discussed specific examples at length.
More questions? You know where to find me!
The resource materials for your questions can be found in section 2-7 & 2-8 of the text book... that's a re-read for you. Be sure to check out the on-line video tutors as well.
ReplyDeleteThe short answer for BT1#19 is the cross-product property (section 2-7); for BT2#25, you need to understand the properties of similar triangles (section 2-8). As you all know, I expect more from my accelerated honors class than short answers and surface-level understanding.
Many of you have been taught to "cross-multiply" proportions in prior math classes. We are raising the "bar of understanding" this year.
WE recognize that the technique of cross-multiplication is granted to us from the math gods by virtue of the cross-product property, which in turn is simply utilizing the Multiplication Property of Equality twice in a row. Look back to your notes from these class sessions, as I know we presented and discussed specific examples at length.
More questions? Let me know?
Just wondering if we will be allowed to use a calculator on the test or if we have to solve things by ourselves. For example: 16(18). Can we just plug that into a calculator?
ReplyDeleteThis will be a NO CALCULATOR test.
ReplyDeleteThe FINAL EXAM, both the state test and will have a calculator and non-calculator section.
My guess is that this should be the least of your worries. While I do expect you to multiply 16(18), I will not have a problem that requires multiplication like (16.147)(18.07635).
Thanks
ReplyDeleteI have a question on #23 in the studyguide...
ReplyDeletedo you still cross multiply when the variable is in the denominator instead of the numerator when solving proportions
e.g. 5 over x +3 = 3 over x-2
I don't understand what I am trying to figure out in benchmark test one on #30.
ReplyDeleteHow can I figure out the percent error when we aren't given the actual answer. If it isn't 21.9, shouldn't we have the actual answer. I am really confused.
For #23
ReplyDeleteYup, a proportion is an equation that states that two ratios are equal. So you can use the cross-product property… period end of sentence.
So:
5(x-2)=3(x-4)
… and you should be on the algebra rollercoaster… weeeeeeeee!!!!!!!! Right?
Solve the equation and check your answer. Works every time!!
For #30:
Well, given that she rounded her measurement properly, it could have been anywhere from 21.85 to 21.94 cm, which is a range of appx .1 cm.
So we can set a proportion
.1/21.9 = x/100 (simplify the fraction on the left by multiplying by 10/10 - a big fat one)
1/219 = x/100 (approximate to make our life easier)
1/200 = x/100 (solve the proportion)
200x=100
x=.5
So .5% is your answer!
That's a toughy, we didn't focus on percent error so it won't be on the test.. but it's good to know.
If those were the only questions you have, you're in pretty good shape!!
Hmmmmm... Judging by the lack of questions, I'm gonna have a lot of 100's on the mid-term, eh guys??
I'm not sure what the inverse property of multiplication is.. is it number * reciprocal=1?
ReplyDeleteTo figure out percentages (just making sure) Do you multiply a number by the decimal? For example if you wanted 20% of 11.50 would you multiply 11.50 x .20?
ReplyDeleteTrouble with #24.. I don't know where to start. I divided 60 by 24 & go 2.5..
ReplyDeleteAm I on the wrong path?
I'm having a problem with #19. I read 2-7 in the book but I still can't seem to figure it out. I cross-multiplied (cross products property) and got 16(15t)=5(2t+3). Is there something wrong? As my answer I got 5 1/3.
ReplyDelete?????
Could we review sets & universal sets & B' and stuff like that tomorrow?
ReplyDelete& percentages?
Could you use the percent proportion to find out a question like what is 3% of 40?
ReplyDeletelike this?:
x/40=3/100
Dear Reciprocal... Yup.
ReplyDeleteDear Percentages... Yup... or you could set up a proportion 20 is to 100 as x is to 11.5... 20/100 = x/11.5
Dear #24... that reminds me of an old George Carlin joke... "this just in - a partial score - New York 28.
You can solve a proportion, but you can't solve a rate. A proportion compares two equivalent rates or ratios with an equal sign.
60L is to 24min as 280L is to ??min.
60/24 = 280/x
You can solve that, right? If you were answering that question for me, I would expect the answer in hours and minutes, i.e. 1 hour 52 min.
Dear #19 - You have a typo, it was 6(15t) not 16(15t).. I don't know how you got 5 1/3 though
ReplyDelete6(15t)=5(2t+3)
90t=10t+15
80t=15
t=15/80 or 3/16 or .1875
Dear 3% - Yup. Talk it out.
ReplyDelete3 is to 100 as x is to 40... 3/100 = x/40
Still a little bit confused on direct variations and how to find them.
ReplyDeleteSee the new post MT-2
ReplyDelete