Problems need to include all required steps and answer

Category: Mathematics

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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