2 Alice's account balance is currently $12 and she deposits $10 every week. Bob's account balance is currently $22 and he deposits $7.50 every week. After how many weeks will Alice and Bob have the same account balance?

4 Bernice has received scores of 85, 72, 90, 80, and 86 on her first five exams. Her goal is to achieve a final average of 83. What score must she receive on the last exam to realize her goal?

5 A piece of rope 45 centimeters long is cut into 2 pieces. The longer piece is 4 times as long as the shorter piece. What is the length of the longer piece of rope?

6 Andrea and Felix collected 48 signatures for a petition. Felix collected one-third as many
signatures as Andrea did. How many signatures did Andrea collect?

8 At North Community College, there are twice as many sophomores as first year students. The number of juniors is 40 more than the number of first year students and the number of seniors is 50 fewer than the number of sophomores. There are 350 students at North Community College. How many of these students are first year students?

12 The ratio of right-handed students to left-handed students is 9 to 2. There are 468 righthanded students in the school. How many students are left handed?