YALE UNIVERSITY
Reading edition
ALGEBRA A
Time: One Hour
Omit one question in Group II and one in Group III. Credit will be given for six questions only.
Group I
1. Resolve into prime factors: (a) (b) (c)
2. Simplify
3. Solve
Group II
4. Simplify and compute the value of the fraction to two decimal places.
5. Solve the simultaneous equations
Group III
6. Two numbers are in the ratio of If a be added to the first and subtracted from the second, the results will be in the ratio of Find the numbers.
7. A dealer has two kinds of coffee, worth 30 and 40 cents per pound. How many pounds of each must be taken to make a mixture of 70 pounds, worth 36 cents per pound?
8. A, B, and C can do a piece of work in 30 hours. A can do half as much again as B, and B two thirds as much again as C. How long would each require to do the work alone?