#$&*
course Mth 164
Question: `q003. If you are earning 8 dollars / hour, how long will it take you
to earn $72? The answer may well be
obvious, but explain as best you can how
you reasoned out your result.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution
starting in the next line)
72/8= 9
confidence = 3 OK
*********************************************
Question: `q004. Calculate (8 + 3) * 5
and 8 + 3 * 5, indicating the order of
your steps. Explain, as best you can, the
reasons for the difference in your
results.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution
starting in the next line)
(8 + 3) * 5 = 11 * 5 = 55
8 + 3 * 5 = 8 + 15 = 23
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q005. Calculate (2^4) * 3
and 2^(4 * 3), indicating the order of
your steps. Explain, as best you can, the
reasons for the difference in your
results. Note that the symbol '^'
indicates raising to a power. For
example, 4^3 means 4 raised to the third
power, which is the same as 4 * 4 * 4 =
64.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
(2^4) * 3 = 16 * 3 = 48
2^(4 * 3) = 2^12 = 4096
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q006. Calculate 3 * 5 - 4 * 3
^ 2 and 3 * 5 - (4 * 3)^2 according to the
standard order of operations, indicating
the order of your steps. Explain, as best
you can, the reasons for the difference in
your results.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
3 * 5 - 4 * 3 ^ 2= 15 - 4 * 9 = 15 - 36 =
-21
3 * 5 - (4 * 3)^2= 15 - 12^2 = 15 - 144 =
-129
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q007. Let y = 2 x + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = -2. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values -1, 0, 1 and
2. Write out a copy of the table below.
In your solution give the y values you
obtained in your table.
2*-2+3=-1
x y
-2 -1
-1 1
0 3
1 5
2 7
This graph most resembles the linear graph
and is a straight line that goes up two
units for every one it goes to the right
and is also shifted up by 3 units
confidence = 3 OK
*********************************************
Question: `q008. Let y = x^2 + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = -2. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values -1, 0, 1 and
2. Write out a copy of the table below.
In your solution give the y values you
obtained in your table.
-2^2+3=7
x y
-2 7
-1 4
0 3
1 4
2 7
This graph most resembles the parabolic
finction and is shaped like a swing
suspended 3 units above the origin
confidence = 3 OK
*********************************************
Question: `q009. Let y = 2 ^ x + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = 1. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values 2, 3 and 4.
Write out a copy of the table below. In
your solution give the y values you
obtained in your table.
2^1+3=5
x y
1 5
2 7
3 11
4 19
this graph slowly gets higher and higher
at increasing intervals as it moves to the
right and most resembles an exponential
graph
confidence = 3 OK
*********************************************
Question: `q010. If you divide a certain
positive number by 1, is the result
greater than the original number, less
than the original number or equal to the
original number, or does the answer to
this question depend on the original
number?
Always equal
confidence = 3 OK
.............................................
Given Solution: If you divide any number
by 1, the result is the same as the
original number. Doesn't matter what the
original number is, if you divide it by 1,
you don't change it.
True
confidence = 3 OK
*********************************************
Question: `q011. If you divide a certain
positive number by a number greater than
1, is the result greater than the original
number, less than the original number or
equal to the original number, or does the
answer to this question depend on the
original number?
depends on the given number negative
numbers get bigger, positive numbers get
smaller
confidence = 3 OK
*********************************************
Question: `q013. Students often get the
basic answers to nearly all, or even all
these questions, correct. Your instructor
has however never seen anyone who
addressed all the subtleties in the given
solutions in their self-critiques, and it
is very common for a student to have given
no self-critiques. It is very likely that
there is something in the given solutions
that is not expressed in your solution.
This doesn't mean that you did a bad job.
If you got most of the 'answers' right,
you did fine.
However, in order to better understand the
process, you are asked here to go back and
find something in one of the given
solutions that you did not address in your
solution, and insert a self-critique. You
should choose something that isn't trivial
to you--something you're not 100% sure you
understand.
If you can't find anything, you can
indicate this below, and the instructor
will point out something and request a
response (the instructor will select
something reasonable, but will then expect
a very good and complete response).
However it will probably be less work for
you if you find something yourself.
Your response should be inserted at the
appropriate place in this document, and
should be indicated by preceding it with
####.
As an answer to this question, include a
copy of whatever you inserted above, or an
indication that you can't find anything.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv could not find one"
Self-critique (if necessary):
------------------------------------------------
Self-critique rating:
#$&*
course Mth 164
Question: `q003. If you are earning 8 dollars / hour, how long will it take you
to earn $72? The answer may well be
obvious, but explain as best you can how
you reasoned out your result.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution
starting in the next line)
72/8= 9
confidence = 3 OK
*********************************************
Question: `q004. Calculate (8 + 3) * 5
and 8 + 3 * 5, indicating the order of
your steps. Explain, as best you can, the
reasons for the difference in your
results.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution
starting in the next line)
(8 + 3) * 5 = 11 * 5 = 55
8 + 3 * 5 = 8 + 15 = 23
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q005. Calculate (2^4) * 3
and 2^(4 * 3), indicating the order of
your steps. Explain, as best you can, the
reasons for the difference in your
results. Note that the symbol '^'
indicates raising to a power. For
example, 4^3 means 4 raised to the third
power, which is the same as 4 * 4 * 4 =
64.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
(2^4) * 3 = 16 * 3 = 48
2^(4 * 3) = 2^12 = 4096
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q006. Calculate 3 * 5 - 4 * 3
^ 2 and 3 * 5 - (4 * 3)^2 according to the
standard order of operations, indicating
the order of your steps. Explain, as best
you can, the reasons for the difference in
your results.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
3 * 5 - 4 * 3 ^ 2= 15 - 4 * 9 = 15 - 36 =
-21
3 * 5 - (4 * 3)^2= 15 - 12^2 = 15 - 144 =
-129
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q007. Let y = 2 x + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = -2. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values -1, 0, 1 and
2. Write out a copy of the table below.
In your solution give the y values you
obtained in your table.
2*-2+3=-1
x y
-2 -1
-1 1
0 3
1 5
2 7
This graph most resembles the linear graph
and is a straight line that goes up two
units for every one it goes to the right
and is also shifted up by 3 units
confidence = 3 OK
*********************************************
Question: `q008. Let y = x^2 + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = -2. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values -1, 0, 1 and
2. Write out a copy of the table below.
In your solution give the y values you
obtained in your table.
-2^2+3=7
x y
-2 7
-1 4
0 3
1 4
2 7
This graph most resembles the parabolic
finction and is shaped like a swing
suspended 3 units above the origin
confidence = 3 OK
*********************************************
Question: `q009. Let y = 2 ^ x + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = 1. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values 2, 3 and 4.
Write out a copy of the table below. In
your solution give the y values you
obtained in your table.
2^1+3=5
x y
1 5
2 7
3 11
4 19
this graph slowly gets higher and higher
at increasing intervals as it moves to the
right and most resembles an exponential
graph
confidence = 3 OK
*********************************************
Question: `q010. If you divide a certain
positive number by 1, is the result
greater than the original number, less
than the original number or equal to the
original number, or does the answer to
this question depend on the original
number?
Always equal
confidence = 3 OK
.............................................
Given Solution: If you divide any number
by 1, the result is the same as the
original number. Doesn't matter what the
original number is, if you divide it by 1,
you don't change it.
True
confidence = 3 OK
*********************************************
Question: `q011. If you divide a certain
positive number by a number greater than
1, is the result greater than the original
number, less than the original number or
equal to the original number, or does the
answer to this question depend on the
original number?
depends on the given number negative
numbers get bigger, positive numbers get
smaller
confidence = 3 OK
*********************************************
Question: `q013. Students often get the
basic answers to nearly all, or even all
these questions, correct. Your instructor
has however never seen anyone who
addressed all the subtleties in the given
solutions in their self-critiques, and it
is very common for a student to have given
no self-critiques. It is very likely that
there is something in the given solutions
that is not expressed in your solution.
This doesn't mean that you did a bad job.
If you got most of the 'answers' right,
you did fine.
However, in order to better understand the
process, you are asked here to go back and
find something in one of the given
solutions that you did not address in your
solution, and insert a self-critique. You
should choose something that isn't trivial
to you--something you're not 100% sure you
understand.
If you can't find anything, you can
indicate this below, and the instructor
will point out something and request a
response (the instructor will select
something reasonable, but will then expect
a very good and complete response).
However it will probably be less work for
you if you find something yourself.
Your response should be inserted at the
appropriate place in this document, and
should be indicated by preceding it with
####.
As an answer to this question, include a
copy of whatever you inserted above, or an
indication that you can't find anything.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv could not find one"
Self-critique (if necessary):
------------------------------------------------
Self-critique rating:
#*&!
#$&*
course Mth 164
Question: `q003. If you are earning 8 dollars / hour, how long will it take you
to earn $72? The answer may well be
obvious, but explain as best you can how
you reasoned out your result.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution
starting in the next line)
72/8= 9
confidence = 3 OK
*********************************************
Question: `q004. Calculate (8 + 3) * 5
and 8 + 3 * 5, indicating the order of
your steps. Explain, as best you can, the
reasons for the difference in your
results.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution
starting in the next line)
(8 + 3) * 5 = 11 * 5 = 55
8 + 3 * 5 = 8 + 15 = 23
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q005. Calculate (2^4) * 3
and 2^(4 * 3), indicating the order of
your steps. Explain, as best you can, the
reasons for the difference in your
results. Note that the symbol '^'
indicates raising to a power. For
example, 4^3 means 4 raised to the third
power, which is the same as 4 * 4 * 4 =
64.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
(2^4) * 3 = 16 * 3 = 48
2^(4 * 3) = 2^12 = 4096
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q006. Calculate 3 * 5 - 4 * 3
^ 2 and 3 * 5 - (4 * 3)^2 according to the
standard order of operations, indicating
the order of your steps. Explain, as best
you can, the reasons for the difference in
your results.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
3 * 5 - 4 * 3 ^ 2= 15 - 4 * 9 = 15 - 36 =
-21
3 * 5 - (4 * 3)^2= 15 - 12^2 = 15 - 144 =
-129
The difference comes from changing the
order you perform your operations because
of the parentheses
confidence = 3 OK
*********************************************
Question: `q007. Let y = 2 x + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = -2. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values -1, 0, 1 and
2. Write out a copy of the table below.
In your solution give the y values you
obtained in your table.
2*-2+3=-1
x y
-2 -1
-1 1
0 3
1 5
2 7
This graph most resembles the linear graph
and is a straight line that goes up two
units for every one it goes to the right
and is also shifted up by 3 units
confidence = 3 OK
*********************************************
Question: `q008. Let y = x^2 + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = -2. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values -1, 0, 1 and
2. Write out a copy of the table below.
In your solution give the y values you
obtained in your table.
-2^2+3=7
x y
-2 7
-1 4
0 3
1 4
2 7
This graph most resembles the parabolic
finction and is shaped like a swing
suspended 3 units above the origin
confidence = 3 OK
*********************************************
Question: `q009. Let y = 2 ^ x + 3.
(Note: Liberal Arts Mathematics students
are encouraged to do this problem, but are
not required to do it).
Evaluate y for x = 1. What is your
result? In your solution explain the
steps you took to get this result.
Evaluate y for x values 2, 3 and 4.
Write out a copy of the table below. In
your solution give the y values you
obtained in your table.
2^1+3=5
x y
1 5
2 7
3 11
4 19
this graph slowly gets higher and higher
at increasing intervals as it moves to the
right and most resembles an exponential
graph
confidence = 3 OK
*********************************************
Question: `q010. If you divide a certain
positive number by 1, is the result
greater than the original number, less
than the original number or equal to the
original number, or does the answer to
this question depend on the original
number?
Always equal
confidence = 3 OK
.............................................
Given Solution: If you divide any number
by 1, the result is the same as the
original number. Doesn't matter what the
original number is, if you divide it by 1,
you don't change it.
True
confidence = 3 OK
*********************************************
Question: `q011. If you divide a certain
positive number by a number greater than
1, is the result greater than the original
number, less than the original number or
equal to the original number, or does the
answer to this question depend on the
original number?
depends on the given number negative
numbers get bigger, positive numbers get
smaller
confidence = 3 OK
*********************************************
Question: `q013. Students often get the
basic answers to nearly all, or even all
these questions, correct. Your instructor
has however never seen anyone who
addressed all the subtleties in the given
solutions in their self-critiques, and it
is very common for a student to have given
no self-critiques. It is very likely that
there is something in the given solutions
that is not expressed in your solution.
This doesn't mean that you did a bad job.
If you got most of the 'answers' right,
you did fine.
However, in order to better understand the
process, you are asked here to go back and
find something in one of the given
solutions that you did not address in your
solution, and insert a self-critique. You
should choose something that isn't trivial
to you--something you're not 100% sure you
understand.
If you can't find anything, you can
indicate this below, and the instructor
will point out something and request a
response (the instructor will select
something reasonable, but will then expect
a very good and complete response).
However it will probably be less work for
you if you find something yourself.
Your response should be inserted at the
appropriate place in this document, and
should be indicated by preceding it with
####.
As an answer to this question, include a
copy of whatever you inserted above, or an
indication that you can't find anything.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv could not find one"
Self-critique (if necessary):
------------------------------------------------
Self-critique rating:
#*&!#*&!
@& Instructions request that you insert your responses into a copy of the original web document. You appear to have eliminated some of the text from the original document.
The original text includes certain strings of characters that allow me to efficiently isolate your insertions from the rest of the text, allowing me to review much more student work, much more accurately, than would otherwise be possible.
These and other characters are also used as triggers in collecting databases of student responses, and in some instances the lack of these characters can cause your document not to post at all.
If so requested below, you should resubmit this document, and insert your responses into a complete, unaltered copy of the original document. If you are not specifically requested to do so on this document, it won't be necessary, but you should follow this practice on all future submissions.
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*@
@& 'I haven't been able to review this document as thoroughly as usual, but from what can easily locate you appear to understand.
You are welcome, if you wish, to insert your answers into a complete copy of the document and resubmit it, but if you understand everything this won't be necessary.*@