Math A

Applied Problems
with Powers

 

Solve the following problems.  When you are finished,
 click on "Answer" to see if your answers are correct.

1. Ted and Ned have each solved the problem:

Ted says the answer is

 

Ned says the answer is

Who has done the problem correctly?

Answer#1    

 

2. You are asked to solve the following problem on your calculator:
                                                               

Which of the following scientific calculator entries in INCORRECT ?
 

a. 3 3 2
 
b.  3 3  
c.  3 6 d.  3 5
 

  Answer#2   

 

3.

Mort and Alice have rented a car for their honeymoon from the Drive Right Car rental.
  The cost of renting a car is $45 per day plus $0.05 per mile.  If a car is rented for d days and is driven m miles a day, represent the cost, C, in terms of d and m.

 Answer#3  

 

4. A rectangular swimming pool is twice as long as it is wide.  A small concrete walkway surrounds the pool.  The walkway is a constant 2 feet wide and has an area of 196 square feet.  Find the dimensions of the pool.

 Answer#4 

 

5. Write and simplify...

a.

... an expression for the area.

b.

... an expression for the area of the green section of the diagram.

c.

... an expression for the volume in cubic feet. ("m" is a variable in this problem)

 

6. Think of a number.  Subtract 7.  Multiply by 3.  Add 30.  Divide by 3.  Subtract the original number.  The result is always 3.  Use polynomials to illustrate this number trick.

  Answer#6   

 

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Roberts

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