Yale University
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
4. Simplify and compute the value of the fraction to two decimal places.
5. Solve the simultaneous equations
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?