Problems need to include all required steps and answer

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

 

Simplify each rational expression.

 

1. 

 

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

2. 

 

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

 

3. 

 

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

4.   *

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

5.   *

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

6.    

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

7.    

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

 

8.    

 

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

 

Simplify the rational expressions.  Include any restrictions on the variable.

 

 

9.    

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

10.   

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

11.    

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

12.    

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

Solve each equation.

 

13.   

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

 

14.   

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

15.    

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

1.  The sales (in thousands) for a tire company is represented by the following polynomial, where m stands for the number of months.

 

            1500m2

             m2+5

 

            a. Find the sales after the first month.

            b. Find the sales after three months.

            c. Find the sales after the first year.

 

Calculations:

 

 

 

 

Answer: ­­­­a. ____________________

                b. ____________________ 

                c. ____________________ 

 

 

 

 

 

 

 

 

 

2.  Find the perimeter of the rectangle.

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

Calculations:

 

 

 

 

Answer: ­­­­ perimeter = ­­­­___________________ 

 

 

3.  Find the area of the rectangle.

 

       
     
 

 

 

 

 

 

 

 

 

 

 

 

 

 

Calculations:

 

 

 

 

Answer: area = ­­­­___________________ 

 

 

 

 

4.  Find the area of the triangle.

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Calculations:

 

 

 

 

Answer: area = ­­­­_______________ 

 

 

5.  Using the Pythagorean Theorem (), find the value of the hypotenuse.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

Calculations:

 

 

 

 

Answer: ­­­­_______________ 

 

 

6.  Jennifer started a new job that is paid on commission.  After 15 weeks, she earned $12,975.  If her pay continues at the same rate, how much will she make after 1 year (52 weeks)? 

If she receives a 2% raise in year two and sales remain constant, what is her total income in year 2?

                                                                                                                       

Calculations:

 

 

 

 

Answer: Year 1:­­­­_______________ 

                 Year 2:­­­­_______________ 

 

 

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