Smith College

Elementary Algebra

1. Find the H. C. F. of and

2. Solve:

(a)

(b)

3. A farmer sold a horse at $75 for which he had paid x dollars. He realized x per cent profit by his sale. Find x.

4. Find the 13th term and the sum of 13 terms of the arithmetical progression

5. The difference between two numbers is 48. Their arithmetical mean exceeds their geometrical mean by 18. Find the numbers.

6. Expand by the binomial theorem and simplify

7. Solve:

8. Solve the following equations and check the results by finding the intersections of the graphs of the two equations: