# MAT101 SLP 5 Answer Template (Math Problem Sample)

Solving Systems of Equations Subscribe What are the three methods for solving systems of equations? Do they all produce the same answer? Which method do you prefer to use and why? Create 1 system of equations and ask your peers to solve it using 1 of the 3 methods. Return to the discussion to check your peers’ understanding and offer help as needed. Be sure to post your answer at the close of the module.

**MAT101 SLP 5 Answer Template**

** **I affirm that this assignment contains all original work. I am familiar with Trident University’s Academic Integrity policy located in the Trident Policy Handbook. I affirm that I have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answers online, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. My name below affirms that the assignment was completed individually, and all work presented is my own.

**Name: **

**Date: **

**Instructor: **

** **

Use this template to insert your answers for the assignment. Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed). Remember that your work should be clear and legible.

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.

*Write the final answer in the terms being asked such as dollars/cents, degrees, tickets, etc.*

1. Your friend Mary computes (x^{5})(x^{7}) and gets and answer of x^{35}. Explain why her answer is incorrect and include the correct answer.

**Explanation & answer**: _______________

2. Is (x+y)^{2} equal to (x^{2}+y^{2})? Explain why or why not using an example to support your answer.

**Explanation & answer**: _______________

3. When multiplying two terms with the same base, _____________ the exponents. When dividing two terms with the same base, _____________ the exponents.

4. John wants to hire an editor to check his thesis paper. The editor charges a flat rate of $50 and $2 per page. Write a polynomial to describe the cost. Find the cost of editing 75 pages.

**Calculations**:

**Answer**: Polynomial: ____________________Cost:_________________

5. The distance from the Earth to the sun is 93,000,000 miles. Write this number in scientific notation.

**Calculations**:

**Answer**: _______________

6. A scientist measures a speck of sand as having a diameter of 0.00000034. Write this number in scientific notation.

**Calculations**:

**Answer**: _______________

7. Stacy wants to build a triangular sand box for her son. Using the figure below, calculate the area of the triangular box, writing the answer as a polynomial.

(Hint: A=bh)

source..I affirm that this assignment contains all original work. I am familiar with Trident University’s Academic Integrity policy located in the Trident HYPERLINK "/catalog-handbook"Policy Handbook. I affirm that I have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answers online, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. My name below affirms that the assignment was completed individually, and all work presented is my own.

Name:

Date:

Instructor:

Use this template to insert your answers for the assignment. Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed). Remember that your work should be clear and legible.

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.

Write the final answer in the terms being asked such as dollars/cents, degrees, tickets, etc.

1. Your friend Mary computes (x5)(x7) and gets and answer of x35. Explain why her answer is incorrect and include the correct answer.

Explanation & answer: ____The answer disobeys the law of algebra. This is because when multiplying terms, the exponents are added.

Correct answer: (x^5)(x^7)=x^12_

2. Is (x+y)2 equal to (x2+y2)? Explain why or why not using an example to support your answer.

Explanation & answer: _______________

Assume x=2 and y=3

(2+3)^2=25

2^2 +3^2=13

Hence, (x+y)^2 not equal to (x+y)^2 unless the x and y values are 0

3. When multiplying two terms with the same base, ___add__________ the exponents. When dividing two terms with the same base, _subtract____________ the exponents.

4. John wants to hire an editor to check his thesis paper. The editor charges a flat rate of $50 and $2 per page. Write a polynomial to describe the cost. Find the cost of editing 75 pages.

Calculations:

Answer: Polynomial:____________________Cost:_________________

Let C represent cost and X be the number of pages

C=50+2X

C=50+2(75)

C=50+150

C=$200

5. The distance from the Earth to the sun is 93,000,000 miles. Write this number in scientific notation.

Calculations:

Answer: ___9.3*10^7___________

6. A scientist measures a speck of sand as having a diameter of 0.00000034. Write this number in scientific notation.

Calculations:

Answer: __3.4*10^-7_____________

7. Stacy wants to build a triangular sand box for her son. Using the figure below, calculate the area of the triangular box, writing the answer as a polynomial.

(Hint: A= QUOTE bh)

Calculations:

Answer: ____1/2(3x+2)(4x-5)_=1/2(12x^2-15x+8x-10)= 1/2(12x^2-7x-10) =6x^2-3.5x-5

8. Victoria wants to plant a vegetable garden in the shape of a square. She has a space allocated in her backyard that will accommodate 175 square feet. Using the drawing below, use the FOIL method to find the polynomial that represents the area of the square. If x=6, will she have enough room to plant the garden?

(2x+3)

Calculations:

Answer: _______________

Will she have enoug...

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