ARITHMETIC1. Rachel is practicing the guitar for a competition. She starts by practicing the guitar for 1 hour on the first day and then increases the practice time by 10 minutes each day. If the pattern continues, how many minutes will she spend practicing on the 7th day?

2. Silvia bought a new kitchen appliance. She made an initial payment of $25 and paid the remaining amount in 5 monthly installments. If she pays $20 each month and does not need to pay any interest, what is the cost of the kitchen appliance?

GEOMETRIC1. A scientist observes that the population of a certain colony of ants triples after every week. If 75 ants were present initially, approximately how many weeks would it take for the population of the ants to become 6075?

2. Lisa deposited some money into her account at the beginning of year 1, which is compounded annually. The table below shows the amount in her account at the end of each year.Lisa's AccountYear Amount ($)1 2002 2103 220.50If the pattern continues, how much does she have in the account at the beginning of the 5th year?

Polynomials

1. you have to earn at least $3000 this summer, to be able to return to college:You found a construction job that will let you take home $120 per day. The job site is 50 miles from your home. You must drive 100 mi every day.The car you own costs 25 cents a mile to operate (It's an old one).You bring your own lunch (using your parents food) so no expense there.How many days will you have to work to have $3000 at the end of the summer.2. A homeowner is installing a swimming pool in his backyard. He wants its length to be 4 feet longer than its width. Then he wants to surround it with a concrete walkway 3 feet wide. If he can only afford 300 square feet of concrete for the walkway, what should the dimensions for the pool be?