These are skills you should know to be successful in Math 96.

1.Simplify: x³ · x³ 

a. 2x³         b. 2x⁶         c. x⁹         d. x⁶



2.Simplify: (x³)³ 

a. 2x³         b. 2x⁶         c. x⁹         d. x⁶





3.Simplify: x³ + x³ 

a. 2x³         b. 2x⁶         c. x⁹         d. x⁶





4.Simplify: 2x - 3(5x + 2) + 7 

a. 7x + 6         b. -13x + 1         c. -13x + 13         d. -5x + 9


5.Simplify: (x - 2)(x + 5) 

a. 2x - 3                 b. x² -7x + 10 

c. x² -3x -10         d. x² + 3x - 10





6.Simplify: (5x + 3)² 

a. 10x + 6                     b. 25x² + 9 

c. 25x² + 30x + 9         d. 55x³ + 9





7.Solve for x:     4x + 7 = 5x - 8 

a. 1         b. -1         c. 15         d. -15





8.Solve for x:     3x - 2(x - 4) = 12

a. 4         b. 16         c. 20         d. -2





9. Solve for x:     ax + cd = b

a.   b - a                     b.   b - cd /a

c.   b - c- d - a           d.  ( b - cd )/a





10.Solve for x:     x + y = 7 
                             x - y = 9

a. 8         b. 14         c. 16         d. -1





11.Solve for x:     y = 3x + 1 
                            2x - y = 5

a. -6         b. 3/5         c. -4         d. -4/5





12.Write an algebraic expression for:     3 less than a number is 7

a. 7 - 3 = x             b. 3 - x = 7 

c. x - 3 = 7             d. not given 





13. Add:    3      +       5     .
               x + 1          x - 1

a. 4/x                                 b. 15/(x² - 1) 

c. (8x + 2)/(x² - 1)            d. 15x² - 15





14. Multiply:     3       •     5     .
                        x + 1         x - 1

a. 4/x                              b. 15/(x² - 1) 

c. (8x + 2)/(x² - 1)         d. 15x² - 15





15. Divide:     12x⁶yz³ /  4x²y⁷z

a. 8x⁴z²/7             b. 3x⁴z²/y⁶ 

c. 3x³/y⁶             d. 8x³z²/y⁶ 





16. Reduce:    (x² - x) /( x² - 1)

a. -x         b. x         c. x/(x + 1)         d. x/(x - 1)





17.Factor: 3x² - 7x - 6

a. (3x + 2)(x - 3)         b. (3x - 2)(x + 3) 

c. 3(x + 3)(x - 2)         d. prime





18.Factor: x² - 4

a. (x + 2)(x + 2)           b. (x + 2)(x - 2)        

c. (x - 2)(x - 2)             d. prime





19.  Factor: x³ + 9x

a. 3(x² + 3)         b. x(x² + 9)         c. x(x + 3)(x - 3)         d. prime





20.Solve for x:    5x(2x + 3) = 0

a. 5, 3/2         b. 3/2, 0         c. -2/3, 5         d. -3/2, 0 





21.Solve for x:    x² - 7x + 10 = 0

a. -2         b. 5         c. -2 and -5         d. 2 and 5





22.In which Quadrant does (-3, 1) lie?

a. I         b. II         c. III         d. IV





23.Find the slope of the line: 2x - 3y = 6 

a. 2         b. 2/3         c. -2         d. -3/2





Answers:

1. d        2. c        3. a        4. b        5. d

6. c        7. c        8. a        9. d        10. a

11. a        12. c        13. c        14. b        15. b

16. c        17. a        18. b        19. b        20. d

21. d        22. b        23. b