MAT 221 Enhance teaching - snaptutorial.com

MAT 221 Entire Course
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MAT 221 Week 1 Assignment 1 Simplifying Expressions
MAT 221 Week 1 DQ 1 Evaluating Algebraic Expressions
MAT 221 Week 2 Assignment 2 Inequalities
MAT 221 Week 2 DQ 1 Formulas
MAT 221 Week 3 Assignment 3 Two-Variable Inequality
MAT 221 Week 3 DQ 1 Parallel and Perpendicular
MAT 221 Week 4 Assignment 4 Financial Polynomials
MAT 221 Week 4 DQ 1 Initial Investment
MAT 221 Week 5 Assignment 5 Pythagorean Quadratic
MAT 221 Week 5 DQ 1 Factoring
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MAT 221 Week 1 Assignment 1 Simplifying
Expressions

Simplifying Expressions
Read the following instructions in order to complete this assignment,
and review the example of how to complete the math required for this
assignment:
 Use the properties of real numbers to simplify the following
expressions:
 2a(a – 5) + 4(a – 5)
 2w – 3 + 3(w – 4) – 5(w – 6)
 0.05(0.3m + 35n) – 0.8(-0.09n – 22m)
Write a two to three page paper that is formatted in APA style and
according to the Math Writing Guide. Format your math work as
shown in the example and be concise in your reasoning. In the body
of your essay, please make sure to include:
 Your solution to the above problem, making sure to include all
mathematical work.
 Plan the logic necessary to complete the problem before you
begin writing. For examples of the math required for this
assignment, please review Elementary and Intermediate
Algebraand the example of how to complete the math required
for this assignment.
 Show every step of the process of simplifying and identify
which property of real numbers was used in each step of your
work. Please include your math work on the left; the properties
used on the right.
A discussion of why the properties of real numbers are important to
know when working with algebra. In what ways are they useful for
simplifying algebraic expressions? The incorporation of the following
five math vocabulary words into the text of your paper. Use bold font
to emphasize the words in your writing (Do not write definitions for
the words; use them appropriately in sentences describing your
math work.):

 Simplify
 Like terms
 Coefficient
 Distribution
 Removing parentheses
For information regarding APA samples and tutorials, visit the
Ashford Writing Center, within the Learning Resources tab on the left
navigation toolbar.
Carefully review the Grading Rubric for the criteria that will be used
to evaluate your assignment.
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MAT 221 Week 1 DQ 1 Evaluating Algebraic
Expressions
Evaluating Algebraic Expressions
Read the following instructions in order to complete this discussion,
assignment:
1. Write your birth date or the birth date of someone in your family
as mm/dd/yy. (Example: March 13, 1981 is written 3/13/81, and
November 7, 1967 is written 11/7/67).

 Now let a = the one- or two-digit month number,
 b = the negative of the one- or two-digit day number, and
 c = the two-digit year number.
(Our example: a = 3, b = -13, and c = 81 or a = 11, b = -7, and c
= 66)
1. Use the following algebraic expressions for parts c-d of the
discussion:



1. Evaluate the three given expressions using the a, b, and c from
your birth date. Make sure that b is negative when you plug in
the values.
2. After you have your math worked out on scratch paper, post
your results as well as a description of the steps you took to
evaluate the expressions.
 Did you notice anything interesting about the results of and ?
Was this coincidence or do you think there is a reason for this?
1. Incorporate the following five math vocabulary words at least
once into your discussion. Use bold font to emphasize the words
in your writing (Do not write definitions for the words; use
them appropriately in sentences describing your math
work.):
 Exponent
 Integer
 Variable
 Lowest terms
 Divisor
Your initial post should be 150-250 words in length. Respond to at
least two of your classmates’ posts by Day 7 in at least a paragraph.

Do you agree with how your classmates used the vocabulary? Did the
student handle the negatives in the formulas accurately?
MAT 221 Week 2 Assignment 2 Inequalities
1. Assignment
To complete the following assignment, go to this
week's Assignment link in the left navigation.
Inequalities
and review the exampleow to complete the math required for this
assignment:
 Read the article about Body Mass Index (BMI) on page 151
of Elementary and Intermediate Algebra . Use the formula
given using pounds and inches for finding the BMI at the end of
the first paragraph in order to find the four intervals the article
mentions:
o 17 < BMI < 22 might have a longer life span than average
o 23 < BMI < 25 probably not overweight
o 25 < BMI < 29.9 probably overweight
o BMI > 30 obese
You will use your height to plug into the formula to solve for W, the
weight range that will go with each category. You may prefer to solve

the formula for the variable W before plugging in values, which is
fine.
 Write a two to three page paper that is formatted in APA style
and according to the Math Writing Guide. Format your math
work as shown in the Instructor Guidance and be concise in
your reasoning. In the body of your essay, please make sure to
include:
o Your solution to the above problem, making sure to
include all mathematical work
o A discussion on the computed weight ranges and some
reasons why they could be misleading
o An evaluation of the regions outside of the “probably not
overweight” range using both set notation and interval
notation. Include a simple graph of the regions. (See
Instructor Guidance example for some ideas of how to do
this.)
o The incorporation of the following five math vocabulary
words into your discussion. Use bold font to emphasize the
words in your writing (Do not write definitions for the
words; but integrate them into your discussion.):
 Inequality
 Equivalent
 Compound inequality
 Interval
 Infinity
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MAT 221 Week 2 DQ 1 Formulas

Formulas
assignment:
 Read about Cowling’s Rule for child sized doses of medication
(number 92 on page 119 of Elementary and Intermediate
Algebra).
 Solve parts (a) and (b) of the problem using the following
details indicated for the first letter of your last name:
If
your lastname starts
with letter
For part (a) of problem
92 use this information
to calculate the child’s
dose.
For part (b) of
problem 92 use this
information to
calculate the child’s
age.
A or Z
adult dose 400mg
ibuprofen; 5 year old
child
800mg adult, 233mg
child
C or X
adult dose 500mg
amoxicillin; 11 year old
child
250mg adult, 52mg
child
E or V
adult dose 1000mg
acetaminophen; 8 year
old child
600mg adult, 250mg
child
G or T
adult dose 75mg
Tamiflu; 6 year old child
500mg adult, 187mg
child
I or R
adult dose 400mg
child
1200mg adult,200mg
child
K or P
adult dose 500mg
child
100mg adult, 12.5mg
child
M or N adult dose 1000mg 600mg adult, 200mg

acetaminophen: 6 year
old child
child
O or L
adult dose 75mg
Tamiflu; 11 year old
child
1000mg adult, 600g
child
Q or J
adult dose 400mg
child
500mg adult, 250mg
child
S or H
adult dose 500mg
child
300mg adult, 100mg
child
U or F
adult dose 1000mg
acetaminophen; 3 year
old child
75mg adult, 12.5mg
child
W or D
adult dose 75mg
Tamiflu; 5 year old child
1200mg adult, 300mg
child
Y or B
adult dose 400mg
child
400mg adult, 50mg
child
 Explain what the variables in the formula represent and show all
steps in the computations.
 Incorporate the following five math vocabulary words into your
discussion. Use bold font to emphasize the words in your
writing (Do not write definitions for the words; use them
appropriately in sentences describing your math work.):
 Literal equation
 Formula
 Solve
 Substitute
 Conditional equation
least two of your classmates’ posts by Day 7. Do you agree with how
your classmates used the vocabulary? Do the mathematical results
seem reasonable?

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2.
MAT 221 Week 3 Assignment 3 Two-Variable
Inequality
Two-Variable Inequality
assignment:
 Read problem 46 on page 240 of Elementary and Intermediate
Algebra .
o Assign a variable to each type of rocker Ozark Furniture
makes.
o Write a linear inequality which incorporates the given
information of total board feet and the board feet required
for each type of rocker.
o On scratch paper draw a graph of the inequality so that you
have this visual to go by as you discuss the graph in your
writing. A scanned copy of this graph may be attached
with your essay, but is not required.

include:
mathematical work.
 A discussion on what this graph looks like. Include information
about the intercepts, the type of line needed, direction of the
line, and region(s) shaded to fulfill the inequality. Any details
which are pertinent to know about the graph should be
mentioned.
 An application of the findings in this graph. For example, pick a
point in the shaded area and give its coordinates, and then
discuss what those numbers mean in terms of rockers and board
feet of lumber. Pick a point outside of the shaded area and do
the same thing. Pick a point right on the line and discuss the
same details. Be specific.
 An evaluation of the following: A chain furniture store faxes an
order for 175 modern rocking chairs and 125 classic rocking
chairs. Will Ozark Furniture be able to fill this order with the
current lumber on hand? If yes, how much lumber will they
have left? If no, how much more lumber would they need to fill
the order?
****************************************************
MAT 221 Week 3 DQ 1 Parallel and
Perpendicular

assignment:
 Given an equation of a line, find equations for lines parallel or
perpendicular to it going through specified points. Find the
appropriate equations and points from the table below. Simplify
your equations into slope-intercept form.
If your first
namestarts
with
Write the equation of a
line parallel to the given
line but passing through
the given point.
Write the equation of a line
perpendicular to the given
line but passing through the
given point.
A or N
B or O
C or P
D or Q
E or R
F or S
G or T
H or U
I or V
J or W
K or X
L or Y
M or Z
 Discuss the steps necessary to carry out each activity. Describe
briefly what each line looks like in relation to the original given
line.
 Answer these two questions briefly in your own words:
 What does it mean for one line to be parallel to another?
 What does it mean for one line to be perpendicular to another?
Incorporate the following five math vocabulary words into your
discussion. Use bold font to emphasize the words in your writing (Do

not write definitions for the words; use them appropriately in
sentences describing your math work.):
 Origin
 Ordered pair
 X- or y-intercept
 Slope
 Reciprocal
least two of your classmates’ posts by Day 7. Make sure you choose
people who don’t have the same equations as you worked. Do you
agree with how they used the vocabulary? Do their equations seem
reasonable given what they started with?
****************************************************
MAT 221 Week 4 Assignment 4 Financial
Polynomials
Financial Polynomials
assignment:

1. Solve problem 90 on page 304 of Elementary and
Intermediate Algebra . Be sure that you show all steps of the
squaring of the binomial and multiplication along with any
simplification which might be required.
o Evaluate the polynomial resulting from step 1 using:
 P = $200 and r = 10%, and also with
 P = $5670 and r = 3.5%
o Colmplete problem 70 on page 311 of Elementary and
Intermediate Algebra . Show all steps of the division.
2. Write a two to three page paper that is formatted in APA style
include:
3. Your solution to the above problems, making sure to include all
mathematical work and a discussion of how and why this is
applicable to your everyday life.
o Plan the logic necessary to complete the problem before
you begin writing.
o Use the underline feature with single spacing to set up the
division(s), and use the “strikethrough” font to show the
canceling factors. Can you think of another way this
division could be approached and worked out? If yes,
briefly describe the method.
4. Incorporate the following five math vocabulary words into your
5. FOIL
6. Like terms
7. Descending order
8. Dividend
9. Divisor
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MAT 221 Week 4 DQ 1 Initial Investment

assignment:
1. Think of something you want or need for which you currently
do not have the funds. It could be a vehicle, boat, horse, jewelry,
property, vacation, college fund, retirement money, or
something else. Pick something which cost somewhere between
$2000 and $50,000.
2. On page 270 of Elementary and Intermediate Algebra you will
find the “Present Value Formula,” which computes how much
money you need to start with now to achieve a desired monetary
goal. Assume you will find an investment which promises
somewhere between 5% and 10% interest on your money and
you want to purchase your desired item in 12 years. (Remember
that the higher the return, usually the riskier the investment, so
think carefully before deciding on the interest rate.)
3. State the following in your discussion:
 The desired item
 How much it will cost in 12 years
 The interest rate you have chosen to go with from part 2
Set up the formula and work the computational steps one by one,
explaining how each step is worked, especially what the negative
exponent means. Explain what the answer means. Does this formula
look familiar to any other formulas you are aware of? If so, which
formula(s) and how is it similar? Incorporate the following five math
vocabulary words into your discussion. Use bold font to emphasize

the words in your writing (Do not write definitions for the words;
use them appropriately in sentences describing your math work.):
 Power
 Reciprocal
 Negative exponent
 Position
 Rules of exponents
least two of your classmates’ posts by Day 7. Do you agree with how
they used the vocabulary? Do their answers make sense?
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MAT 221 Week 5 Assignment 5 Pythagorean
Quadratic
Pythagorean Quadratic
Read the following instructions in order to complete his assignment,
assignment, and review the example of how to complete the math
required for this assignment:

 Read problem 98 on page 371 of Elementary and Intermediate
Algebra . Along with factoring, this problem also requires the
use of the Pythagorean Theorem to solve it.
o On your scratch paper draw a diagram which includes the
location of Castle Rock and the dimensions of a triangle
with the given number of paces. Seeing the relationship of
the sides and where the right angle is will help you know
how to apply the Theorem. You may include the diagram
in your paper but are not required to do so.
o Write the equation first by inserting the given binomials
into the Pythagorean Theorem. Once you have your
equation written, go ahead and solve it using the methods
from section 5.6 of Elementary and Intermediate
Algebra .
include:
mathematical work, and an explanation for each step.
 If there is more than one solution to the quadratic equation, be
sure you indicate which one is the best solution for this
application problem and why. Translate the polynomial
measurements of the triangle to paces according to your
solution.
 Read this discussion on how GPS works, at
howstufffworks.com. Apply your understanding of the
mathematical concepts explored in problem 98 to a discussion
on navigation in general.
 Incorporate the following four math vocabulary words into your
writing. Use bold font to emphasize these words in your writing
(Do not write definitions for the words; use them
o Quadratic
o Zero factor

o Pythagorean Theorem
Compound equation
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MAT 221 Week 5 DQ 1 Factoring
assignment:
 On pages 345-6 and 353 of Elementary and Intermediate
Algebra, there are many factoring problems. You will find your
assignment in the following table.
If the 3rd letter of your last name
is
On Page 345-6
Do the
Following
On Page 353
Do the
Following
A or N 80 and 106 68
B or O 72 and 104 38
C or P 98 and 102 64
D or Q 68 and 100 30
E or R 82 and 96 58
F or S 66 and 54 26
G or T 92 and 64 56
H or U 70 and 62 48
I or V 90 and 56 28
J or W 74 and 60 62

K or X 88 and 58 34
L or Y 78 and 52 66
M or Z 86 and 76 36
 For the problems on page 345-6, factor the polynomials using
whatever strategy seems appropriate. State what methods you
will use and then demonstrate the methods on your problems,
explaining the process as you go. Discuss any particular
challenges those particular polynomials posed for the factoring.
 For the problem on page 353 make sure you use the “ac
method” regardless of what the book’s directions say. Show the
steps of this method in your work in a similar manner as how
the book shows it in examples.
 Incorporate the following five math vocabulary words into your
 Factor
 GCF
 Prime factors
 Perfect square
 Grouping
least two of your classmates’ posts by Day 7. Make sure you choose
people who don’t have the same numbers as you worked. Do you
agree with how they used the vocabulary? Is their example of
polynomial multiplication suitable as a comparison?
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