MAT101 SLP 5

MAT101 SLP 5 Answer Template

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.  

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: ­­­­_______________ 

2.  Is (x+y)² equal to (x²+y²)?  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)

Calculations:

Answer: ­­­­_______________ 

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 enough room to plant the garden when x=6?  _______________ 

9.  Sam needs to fill up a box with packaging material.  Use the picture below to calculate the volume of the box. 

Calculations:

Answer: ­­­­_______________ 

10.  Jen and Jacob want to put a concrete deck around their pool. Use the figure below to calculate the area of the deck. Second, simplify the area if x=4.75. Round to the nearest hundredth. 

Calculations:

Answer: ­­­­

The expression is: _______________ 

The total square feet of the deck is: ___________