MAT 221 Entire Course

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www.mat221assist.com 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 =========================================

MAT 221 Week 1 Assignment 1 Simplifying Expressions

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www.mat221assist.com 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 Do not write definitions for to emphasize the words in your writing (Do the words; use them appropriately in sentences describing your math work 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. =========================================

MAT 221 Week 1 DQ 1 Evaluating Algebraic Expressions

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www.mat221assist.com Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment: 1.

2. 3. 4.

5.

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

6. 7. 8. 9.

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. 10. 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. 11. Did you notice anything interesting about the results of and ? Was this coincidence or do you think there is a reason for this? 12. Incorporate the following five math vocabulary words at least once into your discussion. Use bold font to emphasize the words Do not write definitions for the words; use in your writing (Do them appropriately in sentences describing your math work work.):

13. Exponent 14. Integer 15. Variable 16. Lowest terms 17. Divisor

Your initial post should be 150-250 words in length. Respond to at least two of your classmatesâ€™ 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

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Assignment To complete the following assignment, go to this week's Assignment link in the left navigation.

Inequalities Read the following instructions in order to complete this assignment, and review the exampleow to complete the math required for this assignment: â€˘

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 o o

17 < BMI < 22 might have a longer life span than average 23 < BMI < 25 probably not overweight 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

o

o

o

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 Do not write definitions for the words in your writing (Do words; but integrate them into your discussion discussion.):

Inequality � Equivalent � Compound inequality � Interval � Infinity ====================================== �

•

MAT 221 Week 2 DQ 1 Formulas

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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).

•

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

For part (b) of For part (a) of problem If problem 92 use this 92 use this information your lastname starts information to to calculate the child’s with letter calculate the child’s dose. age. adult dose 400mg 800mg adult, 233mg A or Z ibuprofen; 5 year old child child adult dose 500mg 250mg adult, 52mg C or X amoxicillin; 11 year old child child adult dose 1000mg 600mg adult, 250mg E or V acetaminophen; 8 year child old child adult dose 75mg 500mg adult, 187mg G or T Tamiflu; 6 year old child child adult dose 400mg 1200mg I or R ibuprofen; 7 year old adult,200mg child child adult dose 500mg 100mg adult, K or P amoxicillin; 9 year old 12.5mg child

M or N

O or L

Q or J

S or H

U or F

W or D

Y or B

•

•

• • • • •

child adult dose 1000mg acetaminophen: 6 year old child adult dose 75mg Tamiflu; 11 year old child adult dose 400mg ibuprofen; 8 year old child adult dose 500mg amoxicillin; 4 year old child adult dose 1000mg acetaminophen; 3 year old child adult dose 75mg Tamiflu; 5 year old child adult dose 400mg ibuprofen; 2 year old child

600mg adult, 200mg child 1000mg adult, 600g child 500mg adult, 250mg child 300mg adult, 100mg child 75mg adult, 12.5mg child 1200mg adult, 300mg 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. Do you agree with how your classmates used the vocabulary? Do the mathematical results seem reasonable? =========================================

MAT 221 Week 3 Assignment 3 Two-Variable Inequality

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www.mat221assist.com Assignment To complete the following assignment, go to this week's Assignment link in the left navigation. 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. 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. 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:

•

•

•

•

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? ======================================

MAT 221 Week 3 DQ 1 Parallel and Perpendicular

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www.mat221assist.com 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 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 Do 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 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. 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

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Assignment To complete the following assignment, go to this week's Assignment link in the left navigation. 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: 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. 1. Evaluate the polynomial resulting from step 1 using: 1. P = $200 and r = 10%, and also with 2. P = $5670 and r = 3.5% 2. Colmplete problem 70 on page 311 of Elementary and Intermediate Algebra. Show all steps of the division.

2.

3.

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: 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. 1. 2.

1.

2. 3. 4. 5. 6.

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 â€œstrikethroughâ€? 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 (Do in sentences describing your math work work.): FOIL Like terms Descending order Dividend Divisor

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MAT 221 Week 4 DQ 1 Initial Investment

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Initial Investment Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment: 1.

2.

3. 4. 5. 6.

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 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 Do not write definitions for the words; use the words in your writing (Do them appropriately in sentences describing your math work 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. Do you agree with how they used the vocabulary? Do their answers make sense? =========================================

MAT 221 Week 5 Assignment 5 Pythagorean Quadratic

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Assignment To complete the following assignment, go to this week's Assignment link in the left navigation. 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, 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.

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. 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: 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 (Do in sentences describing your math work work.): o

•

•

•

•

•

o o o o

Quadratic Zero factor Pythagorean Theorem Compound equation

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MAT 221 Week 5 DQ 1 Factoring

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

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 •

•

On Page 345-6 Do the Following 80 and 106 72 and 104 98 and 102 68 and 100 82 and 96 66 and 54 92 and 64 70 and 62 90 and 56 74 and 60 88 and 58 78 and 52 86 and 76

On Page 353 Do the Following 68 38 64 30 58 26 56 48 28 62 34 66 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 discussion. Use bold font to emphasize the words in your writing Do not write definitions for the words; use them appropriately (Do in sentences describing your math work 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. 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?