Math 100 Final Exam 8 points each Fall 2003

Perform the operations and reduce all fractional answers to lowest terms. Eliminate all negative exponents.

1.

2. - (3x² - 4x - 3) + (2x² - 3x - 1)

3. (4x -5)(2x² -3x + 2)

4. 8p - 4[3p - 2{3(p - 9) }]

5. (a²b³ )²

6. (-36) ^3/2

7. (41/6)³

8.

Multiply & Combine like terms

9. (x - 6)²

10. (3z² + 5)( 3z² - 5)

11. Evaluate the given expression using
a = -2 , b = 1, and c = 3
2ab - bc² + 3a³ - (b - c)

Solve for x:

12.

13. 3 + 2(x - 3) = 6 - 4x + 3(2x - 3)

14. Solve for r.

Solve the inequality, give the solution graphically .

15. -6 < 3(4 -2 x) < 24

Express the answer using interval notation

16. { x | x ² -3 } union sign goes here { x | x < 2 }

Factor:
17. 4a - 4b - wa + wb

18. x² a - b + b x² - a

19. x⁴ⁿ - x²ⁿ - 12

Reduce the radical expression

20.

21.

22.

23. a. Graph the line satisfying the equation
y = 3x + 2

b. Give the slope and y intercept of the line y = 3x + 2

24. a. Plot the points (1,5) and (3 , -2) on
an xy plane.

b. Find the slope of the line between the two
points in a.

c. Find the equation of the line between the points in a.

Indicate whether or not a function and give domain and range.
25.