1. Simplify with positive exponents only:

Answer:____________________

2. Simplify the radical (leave as a radical):

Answer:____________________

3. Factor completely: x ^-1/2 (5x ) + x^1/2 (x -6)

Answer:____________________

4. Perform and simplify:

Answer:____________________

5. Rationalize the numerator:

Answer:____________________

6. Rationalize the denominator:

Answer:____________________

7. Solve for y in the equation:

Answer:____________________

8. Solve the quadratic 5x⁴-10x²+5 = 0

Answer:____________________

9. Solve the quadratic for x: x²-2x-1 = 0

Answer:___________________

10. Solve for x in the equation: | x - 3 | = 1/3

Answer:____________________

Show the solution on the number line. Label holes clearly.

11. Express the solution set in interval notation

Answer:___________________

12. Jack has $5,000 to invest between two accounts, one paying %5.5 and the other paying %8.2, How much should Jack invest in each account to realize a %7 yield?

Answer:____________________

13. Use the points A ( -1,3) and B (4, -7) for the following problems:

Find the distance between the points Aand B

Distance:____________________

Find the midpoint between the points A and B.

Midpoint:____________________

Give the equation of a circle whose diameter has endpoints of A and B.

Answer:____________________

14. Find the center and radius of a circle with the equation x² + y² - 4x + 6y -12 = 0

Radius:____________________

Center:____________________

15. If Jane starts walking home at a rate of 2 miles per hour and Mike follows an hour later on his bicycle travelling 12 miles per hour, how far away do they live if they arrive at home at exactly the same time?

Answer:____________________