Part B: How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?

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1 Unit Rate: For example, 30 miles in 1 hour, or 30 miles per hour, is a unit rate. 1. A machine packs boxes at a constant rate of 2/3 of a box every 12 minute. What is the number of boxes per minute that the machine packs? 2. Kyle waxes 2/3 of his car with 1/4 bottle of car wax. At this rate, what fraction of the bottle of car wax will Kyle use to wax his entire car? 3. A train traveled 1/5 of the distance between two cities in 3/4 hour. At this rate, how many hours will it take the train to travel the entire distance between these two cities? Ratios: The directions on a bottle of vinegar say, mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution. The ratio of vinegar to water is 1 to 16. Part A: How many cups of water should be mixed with 1/4 cup of vinegar to make the cleaning solution? Part B: How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution? Part C: The bottle contains 1 quart of vinegar. What is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar? Part D: A spray bottle holds up to 1 cup of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar? Proportional Relationship: The line must be straight and go through the origin. The equation form is y = mx. To check whether the table represents the proportional relationship between two quantities, use y/x to find the constant of proportionality (m). 1. Select each option that represents a proportional relationship between x and y.

2 2. Haylee mixed 6 cups of blue paint with 8 cups of yellow paint to make green paint. To represent the relationship between the number of cups of blue paint, b, and the number of cups of yellow paint, y, needed to make the same shade of green paint, Haylee wrote the equation b = y. What number should be placed in the front of y? 3. This table shows a proportional relationship between x and y. What is the constant of proportionality between x and y? Enter your answer as a decimal. Simple Interest: 1. Sandra deposits $100 into a savings account that has a simple interest rate of 3.4%. TJ deposits $200 into a savings account that has a simple interest rate of 2.2%. Who earned more in interest in one year? 2. You invest $2,000 in each of two accounts. Account A earns simple interest at a rate of 4% over 2 years. Account B earns simple interest at a rate of 5% over 15 months. a) How much interest did Account A earn after 2 years? b) What is the balance of Account A after 2 years? c) How much interest did Account B earn after 15 months? d) What is the balance of Account B after 15 months? e) Which account will earn more interest? 3. Suppose you deposit $600 in a bank account with a simple interest rate of 3.3%. You want to keep your deposit in the bank long enough to earn at least $100 in interest. For how many years should you keep your deposit in the bank? Markups and Markdowns: cost + markup = selling price cost - markdown = selling price A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. Part A: What is the selling price, in dollars, of the book? Part B: A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book. What is the total amount, in dollars, the customer pays for the discounted book?

3 Gratuities: You spend $60 on a meal including tax and want to leave a tip that is 20% of the $60. what is the total cost, with the tip? Commissions: A fee paid for services, usually a percentage of the total cost. 1. A salesperson at a jewelry store earns 3% commission each week. Last week, Drilon sold $700 worth of jewelry. How much did he make in commission? 2. A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $23. Option B is a commission rate of 5% on weekly sales. How much does she need to sell this week to earn the same amount with the two options? Flat fee: an amount that is charged or paid that does not change according to the amount of work The South Pole Review pays its contributors a flat rate of $20 plus $.02 per word for each story it accepts. The North Pole Quarterly pays its contributors a flat rate of $50 plus $.01 per word. Camille wrote a 500 word story. Which journal will pay Camille more? How much more? Taxes: Each bulleted statement describes how the amount of income tax is determined for yearly taxable incomes in different ranges. Yearly taxable incomes of $8,925 or less are taxed at a flat rate of 10%. For yearly taxable incomes from $8,926 to $36,250, the first $8,925 is taxed at 10% and any income beyond $8,925 is taxed at 15%. For yearly taxable incomes greater than $36,250, the first $8,925 is taxed at 10%, the next $27,325 is taxed at 15%, and any income beyond $36,250 is taxed at 25%. Mr. Vance s yearly taxable income is $35,675. What is the dollar amount taken out for taxes based on Mr. Vance s taxable income? Mr. Rivera s taxable income is $20 each hour before taxes are taken out. Mr. Rivera worked a total of 40 hours each week for 50 weeks. What is the dollar amount, to the nearest dollar, taken out for taxes based on Mr. Rivera s taxable income?

4 Percent Increase and Percent Decrease: 1. Last year, the Debate Club had 7 members. This year there are 12 members in the club. What is the percent change in the number of club members? 2. This week, 973 people went to the beach. Last week, 1,189 people went to the beach. The number of people who went to the beach fell by what percent? Round to the nearest tenth of a percent as needed. Percent Error: 1. The dot plot shows predictions for the winning time in the 200-meter sprint. The winner finished the race in 22.3 seconds. What is the greatest percent error among the predictions? Round to the nearest percent as needed. 2. Find the percent error of the measured value. Measured value: 15. Actual value: 20. If the percent error must be less than 20%, is the measured value acceptable?

5 Percent: 1. The students in Naomi s class sold calendars for a fund-raiser this year and last year. This year, the selling price of each calendar was $ The price this year represents 6% more than the selling price of each calendar last year. Part A: What was the selling price, in dollars, of each calendar last year? Part B: The students in Naomi s class earned 20% of the money received from selling these calendars. They sold 650 calendars last year. They sold 600 calendars this year. Based on the information, which statement is true? A The students in Naomi s class earned more money from this fund-raiser last year by $20. B The students in Naomi s class earned more money from this fund-raiser last year by $35. C The students in Naomi s class earned more money from this fund-raiser this year by $20. D The students in Naomi s class earned more money from this fund-raiser this year by $ If a woman making $25 an hour gets a 10% raise, how much will she make per hour?