1. If 12x − 4y = 12, 4y − 11z = 17, and 11z − 4x = 11, what is the value of x?   5   40   −8   cannot be determined   8   Hint Hint       2. If p = q + 1/2, q = 3r + 1/2, and r = 5s + 1/3, what does s equal in terms of p?   (p − 2)/5   (p − 1)/15   (p + 1)/15   (p − 2)/15   (p − 1)/5   Hint       3. If x is equal to y divided by z, which of the following is equal to y multiplied by z?   zx2   xz3   xz   xz2   xz3   Hint       4. If c carpenters can make t tables in d days, how many tables can 10 carpenters, working at the same rate, make in 30 days?   tc/(3d)   3tc/d   300t/(cd)   300cd/t   cd/(300t)   Hint       5. A train travels from Athena to Barcena at a constant speed of vmiles per hour. If the journey from Athena to Barcena takes t hours, how many miles did it cover in the first 10 minutes?   vt   vt/6   v/6   10vt   10v   Hint       6. Mary bought some eggs on Sunday. She used half of them on Monday. After using 3 more eggs on Tuesday, she was left with exactly one-third of the eggs. How many eggs did Mary buy?   10   12   16   18   24   Hint       7. If 6y − 4z = 47 and y + 11z = 2, what is the average (arithmetic mean) of y and z?   4.5   7   5   3.5   9   Hint