1. Simplify:

2. Find the H. C. F. and L. C. M. of

3. A grocer buys eggs at 4 for 7¢. He sells of them at 5 for 12¢, and the rest at 6 for 11¢, making 27¢ by the transaction. How many eggs does he buy?

4. Solve for t:

5. Find the square root of

6. (a) For what values of m will the roots of be equal?

6. (b) If is a root of find the other root without solving the equation.

7. (a) Solve for x:

7. (b) Solve for m:

8. Solve the system:

9. Two boats leave simultaneously opposite shores of a river mi. wide and pass each other in 15 min. The faster boat completes the trip min. before the other reaches the opposite shore. Find the rates of the boats in miles per hour.

10. Write the sixth term of without writing the preceding terms.

11. The sum of the 2d and 20th terms of an A. P. is 10, and their product is What is the sum of sixteen terms?