1. ROPES #1 Park A state park charges admission of $6 per person plus $3 for parking. She was exciting about seeing the 22 alligators that were at the park. Jo paid $27 when her car entered the park. Write and solve an equation to find the number of people in Jo’s car. Be sure to explain what your variable represents.

2. ROPES #2 Rectangle The width of a rectangle is 6 cm less than the length. The perimeter is 72 cm. Write and solve an equation to find the width and the length of the rectangle.

3. ROPES #3 Age Jan is one year younger than her brother Bill and one year older than her sister Sue. Jan, Bill and Sue all have brown eyes and green hair. The sum of the ages is 57. How old is each family member?

4. ROPES #4 Coins Wendy just emptied her bookbag and found a ton a of junk at the bottom. Among the candy wrappers were 14 coins. Some are quarters and some are nickels. The total value of the coins is $1.70. How many quarters does Wendy have?

5. ROPES #5 Making Money The formula for calculating simple interest is I=prt, where I is the amount of interest, p is the amount invested, r is the annual rate of interest, and t is the time in years. Suppose that you invested $1200 for a period of six years and earned $396 simple interest. What was the annual rate of interest?

6. ROPES #6 Working Hard Sam works very hard at his after school job. His employer has promised his a 20% pay increase. He presently earns $5 per hour. What will be his new hourly pay after the increase?

7. ROPES #7 Profit A store buys cans of soda at a wholesale price of 6 for $0.62 and sells them at a retail price of 10 for $2.70. How many cans must the store sell to make a profit of $10.

8. ROPES #8 Triangle One side of an isosceles triangle is 9 cm shorter than the other two sides. Find the length of each side if the perimeter is 69 cm.

9. ROPES #9 Handshakes Hannah is in Algebra class. Mrs. Stephenson wanted everyone to get up and move. She required that each person in the room shake hands with each other. There are 22 people in the room. How many total handshakes were exchanged?