Vassar College
Elementary and Intermediate Algebra
Answer any six questions.
1. Find the product of and
2. Resolve into linear factors:
(a)
(b)
(c)
(d)
3. Reduce to simplest form:
(a)
(b)
4. (a) Divide by
(b) Find correct to one place of decimals the value of
5. (a) If show that
(b) Two numbers are in the ratio and if 7 be subtracted from each the remainders are in the ratio Find the numbers.
6. Solve the equations:
(a)
(b)
(c)
7. A field could be made into a square by diminishing the length by 10 feet and increasing the breadth by 5 feet, but its area would then be diminished by 210 square feet. Find the length and the breadth of the field.