GENS 097

Algebra Review

SAMPLE FINAL EXAM

Perform the indicated operations, showing all of your work.  Circle your answers.

1.                                   2.      

3.  If you drive 99 miles in  hours, what
       is your average speed?

4.     

5.       

6. 

7. 

8. 

9.    

10.          

11. 

Find the value of the following expressions if
X = -1 and Y = 3.

12.                 13. 

 Solve each equation.

14.   

15.       

16. 

17. 

18.   

19. 

20. 

21.   

22. 

Evaluate each expression.

23.         24.            25. 

Factor completely.  If the polynomial cannot be factored, write prime.

26.        

27.                     28. 

Solve each inequality.  Graph your solution.

29. 

30.                       31. 

32. Rachel earns $6000 less than twice as much as Tom.
If their two incomes total $30,000, how much does each earn?

33.  Translate “the sum of five times a number and six equals the product of three and the sum of  the number and twelve” into an equation and solve.

Answers to Sample Final

1.        2.         3.  44 mph        4.      –18

5.      2                        6.     

7.     

8.              9.     

10.                  11.     

12.  Undefined            13. –26

14. X = 20                15. X =

16. No Solution          17. X = 15

18. X = -50               19. All Real Numbers

20.                       21.

22.                         23.

24.                     25.  

26. (2x + 5)(3x – 2)

27. (4x + y)(6x + 5y)

28. (8x – 11y)(8x + 11y)

29.
                    7

30.
                    

31.  
                    -2         1

32.  Tom earns $12,000
      Rachel earns $18,000

33.  5X + 6 = 3(X + 12)
        x=15

                                                                       

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