MAT101 SLP 5 Answer Template (Math Problem Sample)

MAT101 SLP5 Answer Template
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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...