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**MAT 221 WEEK 1 ASSIGNMENT ( Simplifying Expressions ) ~ INTRODUCTION TO ALGEBRA**

**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.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

**MAT 221 WEEK 2 ASSIGNMENT ( Inequalities ) ~ INTRODUCTION TO ALGEBRA**

**Inequalities**

Read the following instructions in order to complete this assignment, and review the example ow 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:

- 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.

- 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 the computed weight ranges and some reasons why they could be misleading
- An evaluation of the regions
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.)*outside* - 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

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 3 ASSIGNMENT ( Two-Variable Inequality ) ~ INTRODUCTION TO ALGEBRA**

**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 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?

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 4 ASSIGNMENT ( Financial Polynomials ) ~ INTRODUCTION TO ALGEBRA**

**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 r = 10%, and also with
- P = $5670 and r = 3.5%

Colmplete 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 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.

- 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

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

**MAT 221 WEEK 5 ASSIGNMENT ( Pythagorean Quadratic ) ~ INTRODUCTION TO ALGEBRA**

**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.

- 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 in sentences describing your math work**.):

- Quadratic
- Zero factor
- Pythagorean Theorem
- Compound equation

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.