ALGEBRA A

Time: Two Hours

Candidates who are at this time taking both Algebra A and Algebra B may omit from Algebra A questions 4, 5, and 6, and from Algebra B questions 1 (a), 3, and 4.

1. Simplify

2. (a) Divide

2. (b) Simplify

3. Factor: (a)

3. Factor: (b)

4. Solve

5. Solve for x and y:

6. The road from A to B is uphill for 5 mi., level for 4 mi., and then downhill for 6 mi. A man walks from B to A in 4 hr.; later he walks halfway from A to B and back again to A in 3 hr. and 55 min.; and later he walks from A to B in 3 hr. and 52 min. What are his rates of walking uphill, downhill, and on the level, if these do not vary?