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**MAT 221 FULL CLASS ALL DQS AND ASSIGNMENTS **

**MAT 221( Introduction to Algebra ) Complete Class All DQs and Assignments**

**MAT 221 Week 1 Assignment 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 Algebra and 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, in your online course.

** **

**MAT 221 Week 2 Assignment Inequalities**

** **

Read the following instructions in order to complete this assignment, and review the example of how to complete the math required for this assignment:

a. 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:

17 < BMI < 22 might have a longer life span than average

23 < BMI < 25 probably not overweight

25 < BMI < 29.9 probably overweight

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.

b. 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

A discussion on the computed weight ranges and some reasons why they could be misleading

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.)

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.):

o Inequality

o Equivalent

o Compound inequality

o Interval

o Infinity

For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online course.

** **

**MAT 221 Week 3 Assignment Two-Variable Inequality**

Read the following instructions in order to complete this assignment, and review the example of how to complete the math required for this assignment :

- Read problem 46 on page 240 of Elementary and Intermediate Algebra.

Assign a variable to each type of rocker Ozark Furniture makes.

Write a linear inequality which incorporates the given information of total board feet and the board feet required for each type of rocker.

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.

- 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.

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?

For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online course.

** **

**MAT 221 Week 4 Assignment Financial Polynomials**

Read the following instructions in order to complete this assignment, and review the example of how to complete the math required for this assignment:

- 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.

Evaluate the polynomial resulting from step 1 using:

P = $200 and %, and also with

P = $5670 and %

Complete problem 70 on page 311 of Elementary and Intermediate Algebra. Show all steps of the division.

- 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 problems, making sure to include all mathematical work and a discussion of how and why this is applicable to your everyday life.

Plan the logic necessary to complete the problem before you begin writing.

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.

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.):

FOIL

Like terms

Descending order

Dividend

Divisor

For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online course.

**MAT 221 Week 5 Assignment Pythagorean Quadratic**

Read the following instructions in order to complete his 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.

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.

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.

Your solution to the above problem, making sure to include all 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 appropriately in sentences describing your math work.):

Quadratic

Zero factor

Pythagorean Theorem

Compound equation

** **

**MAT 221 Week 1 DQ1 Evaluating Algebraic Expressions**

Evaluating Algebraic Expressions

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:

- 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 one- or two-digit month number,

negative of the one- or two-digit day number, and

two-digit year number. (Our example: , , and or , , and )

- Use the following algebraic expressions for parts c-d of the discussion:

a3 – b3

(a – b)(a2 + ab + b2)

b – c

2b – a

c. 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.

d. 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 a3 – b3 and (a – b)(a2 + ab + b2)? Was this coincidence or do you think there is a reason for this?

e. 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 DQ1 Formulas**

Formulas.

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:

- Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra).

b. Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name:

If your last name 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 ibuprofen; 7 year old child

1200mg adult,200mg child

K or P

adult dose 500mg amoxicillin; 9 year old child

100mg adult, 12.5mg child

M or N

adult dose 1000mg acetaminophen: 6 year old child

600mg adult, 200mg child

O or L

adult dose 75mg Tamiflu; 11 year old child

1000mg adult, 600g child

Q or J

adult dose 400mg ibuprofen; 8 year old child

500mg adult, 250mg child

S or H

adult dose 500mg amoxicillin; 4 year old 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 ibuprofen; 2 year old 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

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? Do the mathematical results seem reasonable?

** **

**MAT 221 Week 3 DQ1 Parallel and Perpendicular**

Parallel and Perpendicular.

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this 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 name starts 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

y = ½ x + 3; (-2, 1)

y = ¾ x – 1; (4, 0)

B or O

– 4; (1, 3)

+ 3; (1, 1)

C or P

y = ¼ x – 2; (8, -1)

– 5; (0, -1)

D or Q

+ 3; (-2, -2)

? x + 2; (9, -3)

E or R

? x – 4; (-6, -3)

– 1; (2, -2)

F or S

½ x + 1; (4, 2)

– 6; (-1, 5)

G or T

y = ¾ x – 1; (4, 0)

+ 4; (-7, 1)

H or U

+ 3; (1, 1)

y = ½ x + 3; (-2, 1)

I or V

– 5; (0, -1)

– 4; (1, 3)

J or W

? x + 2; (9, -3)

y = ¼ x – 2; (8, -1)

K or X

– 1; (2, -2)

+ 3; (-2, -2)

L or Y

– 6; (-1, 5)

? x – 4; (-6, -3)

M or Z

+ 4; (-7, 1)

½ x + 1; (4, 2)

- Discuss the steps necessary to carry out each activity. Describe briefly what each line looks like in relation to the original given line.

c. 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?

d. 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

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. 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 DQ1 Initial Investment**

Initial Investment.

- 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.
- 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.)
- 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 b - 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

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 they used the vocabulary? Do their answers make sense?

** **

**MAT 221 Week 5 DQ1 Factoring**

Factoring.

- 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.
- 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 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.):

Factor

GCF

Prime factors

Perfect square

Grouping

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 they used the vocabulary? Do their answers make sense?

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