Intermediate Algebra

Final Examination

FALL 2000

1. Write the expression using exponential notation: (2a)(2a)(2a)(2a)
2. Solve for x: 2 – 3[ 7- 2( 4 – x ) ] = 2x – 1
3. Evaluate the expression :
4. Simplify and write the answer without negative exponents:
5. A jacket is discounted by 20%. Write an algebraic expression for the sale price of a jacket that originally sells for x dollars.
6. Graph y = . Label axes completely.

7. The width of a rectangle is 1 meter more than ½ its length. Find the dimensions of the rectangle if its perimeter is 20 meters.

8. Find an equation in point-slope form of the line with slope –3/4 and containing the point (1, 2).
9. Find the slope and the y-intercept of 7x – 2y = 12.
10. Find an equation of the line containing ( 8, 17) and perpendicular to the line x + 2y = 2.
11. Solve: 3x – 5( x + 3) = 4x – 3.
12. Solve the System: 3x + 2y = 12

5x - y = 23.

13. A total of $11,000 is invested in two funds paying 7% and 8% simple interest. If the yearly interest for both funds totals $865, determine the amount invested at 8%.
14. Determine the domain of
15. Solve: |3x + 5| > 2

16. Solve and Graph: |5 – 3x| 6.

17. For each point, name the quadrant in which it lies or the axis on which it lies.

a) ( -3 , -2 ) b) ( 0 , 3.14 ) c) ( 6 , -3 )

18. Graph the system.

y < x

y > -x + 4

19. Add: (5m³ – 4m²n – 6mn² – 3n³) + (9mn² – 4n³ +2m³ + 6m²n).

20. Factor by grouping: 2y⁴ + 6y² + 5y² +15.

21. Factor:

22. Multiply: .

23. Divide: .

24. Solve:

25. Solve: (z + 4)(z – 2) = -5.

26. Evaluate each expression: a) b) c)

27. Simplify the radical expression:

28. Simplify the radical expression:

29. Add or subtract. Simplify by collecting like radical terms, if possible.

30. Simplify: .

31. Multiply and simplify:

32. Add or subtract. Simplify by collecting like radical terms, if possible.

33. Divide and, if possible simplify.

34. Solve: