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Learning Goals 7th Grade Extended More Percents By the end of the unit, students will be able toโฆ 1. To find simple interest. 2. To find compound interest. 3. To find percent increase and percent decrease. 4. To find the new amount after a percent increase or decrease. 5. To find sales tax. 6. To find mark ups and mark downs. 7. To find commission. 8. To use percents to model and solve real-life problems. Algebra Binder Sheet Name____________________________ More Percents Section _________ Day Homework Due Completed? Date 1. Simple and Compound Interest Homework: Simple and Compound Interest Worksheets 2. Percent Increase and Decrease Homework: Percent Increase and Decrease Worksheet 3. Percent Error Homework: Percent Error Worksheet 4. Real World Applications (Mark Up, Mark Down, Commissionโฆ) Homework: Real World Percents Worksheet 5. Quiz o The binder sheet is subject to change. Name_____________________________________________________ Simple Interest Worksheet Find the simple interest to the nearest cent. 1. $300 at 7.5% for 5 years 2. $770 at 16% for 6 months 3. $668 at 9.25% for 15 months 4. $285 at 8.5% for 2 ½ years 5. $360 at 185% for 2 years 6. $175 at 5.45% for 30 months 7. Sarah invested $150 at 8% simple interest. What is the total amount of money in her account after 3 years? 8. Ben borrowed $800 at 9% simple interest for 2 years. What is the final amount that he must repay? 9. Candace sold stationary to her family and friends. She deposited the $125 she earned into a savings account. The account earns 5.18% interest annually. If she does not deposit or withdraw any money from it for 18 months, how much will she have in her account? Name_____________________________________________________ Compound Interest Worksheet Find the amount of compound interest. 1. $7000 at 2% for 4 years 2. $7000 at 4% for 2 years 3. $1995 at 6.5% for 10 years 4. $12,000 at 4.8% after 7 years 5. $2500 at 5% for 6 months 6. $10,000 at 3.5% for 8 months 7. Mark deposited $2000 into an account that pays an interest rate of 3.5% compounded annually. If he did not add or subtract any money from his account for 4 years, how much will he have in his account at the end of the 4 years? 8. You took out a loan for $1500. If the account charges an interest rate of 4%, how much will you owe at the end of 5 years? Name_____________________________________________________ Percent Increase or Decrease Worksheet Find each percent of increase or decrease. If necessary, round answers to the nearest tenth. 1. 36 is decreased to 20 2. 175 is increased to 200 3. 6 is increased to 18 4. 642 is decreased to 499 Find the amount of increase or decrease. If necessary, round answers to the nearest tenth. 5. 93 is decreased by 15% 6. 870 is increased by 62% 7. 62 is increased by 40% 8. 529 is decreased by 38% Find the new amount after each increase or decrease. If necessary, round answers to the nearest tenth. 9. 21 is decreased by 40% 10. 65 is increased by 182% 11. 103 is increased by 28% 12. 417 is decreased by 8% Find the amount of sales tax and the total price for each of the following. If necessary, round answers to the nearest cent. 13. 7% sales tax on $17 14. 4.25% sales tax on $21.95 15. 6% sales tax on $18 16. 8.25% sales tax on $125 Name ____________________________________________________ Percent Error Worksheet % 100 = ๐โ๐๐๐๐ ๐๐๐๐๐๐๐๐ Find the percent error for each problem. Be careful in determining the actual (true) value vs. the experimental (observed) value. Be sure to show all work. Round answers to the nearest tenth. 1. Samantha S. Sloppiness measured the volume of her soda before she drank it for her midmorning snack. She measured the volume of the 12 ounce bottle to be 14 ounces. 2. Clyde Clumsy was directed to weigh a 500 g mass on the balance. After diligently goofing off for ten minutes, he quickly weighed the object and reported that is weighed 458 g. 3. Pretty Patty had casually recorded her grades for the nine weeks in her notebook. She concluded she had 250 points out of 300 for the grading period. However, Miraculous (chemistry teacher) determined she had 225 points out of 300 and awarded her a โCโ for the grading period. 4. Drew D. came to Miraculous with a problem. Drew was told to measure 50 cm of copper wire to use in an experiment. Since his ruler only measured to 45 cm he used that amount of wire and his experiment was a failure. 5. Henry Heavyfoot was just stopped for speeding by Officer OโRourke for traveling 65 mph in a 55 mph zone. Henry claimed his speedometer said 55 mph not 65 mph. 6. Willomina Witty was assigned to determine the density of a sample of nickel metal. When she finished, she reported the density of nickel as 5.59 g/ml. However, Mircaulous knew the density of nickel was 6.44 g/ml. 7. An experiment to determine the volume of a โmoleโ of a gas was assigned to Barry Bungleditup. He didnโt read the experiment carefully and concluded the volume was 18.7 liters. Miraculous knew he should have obtained 22.4 liters. 8. Jovial Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75° C. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80° C. 9. The melting point of a substance is 148.2° C. Grumpy George found the value to be 145.5° C. 10. Amazing Ariel weighed an object on her balance and recorded a mass of 24.3 grams. Miraculous told her the actual mass of the object was 18.7 grams. Name ____________________________________________________ Percent Application Problems Find the missing information. Add or subtract the amount to find the final cost. 1. Basketball Price $17.99 Mark Up: 12% Mark Up: __________ Final Cost: __________ 2. Sweater: Price: $39.99 Mark Up: 5% Mark Up: __________ Final Cost: __________ 3. Cordless phone: Price: $64.99 Sales Tax: 6% Sales Tax: __________ Final Cost: __________ 4. Computer printer Price: $149.99 Sales Tax: 3.5% Sales Tax: __________ Final Cost: __________ 5. Pair of blue jeans Original cost: $27.99 Discount amount: __________ Discount: 35% Final Cost: __________ 6. Calculator Original cost: $99.98 Discount amount: __________ Discount: 15% Final Cost: __________ 7. Shane works at a computer store. If a printer costs $299 and he has a commission rate of 7%, how much commission does he earn on the sale of the computer? 8. Kayla earns a week salary of $290 plus a 5.5% commission on sales at a gift shop. How much would she make in a week if she sold $5700 worth of merchandise? 9. Heather earns a commission of 5% on her weekly sales in a clothing shop. What will her weekly commission be if she sells $7500 worth of clothing? 10. Your family takes a trip to the train station. The taxi fare is $17.85. You pay the taxi driver an 18% tip. How much will he get for a tip? 11. Your neighbor pays $40 to have her lawn mowed and always adds a 15% tip. You and your friend decide to mow the lawn together and split the earnings evenly. How much will each of you earn? 12. You and your family go out for dinner and spend $125.00. You are going to give the waitress a 20% tip. How much will you give her for a tip? 13. I went out to eat at the Outback Steakhouse with my family. Our bill was $45.22. I left the waiter $9.95 for a tip. About what percent tip did I leave? 14. Kelsey, Lauren, Thea, and Liz went to dinner at Red Robin. Each got a beverage ($1.95) and a burger ($8.49). Including tax (6.25%) and tip (18%), how much did the dinner cost in all? How much did each girl pay? Name_____________________________________________________ Percents Quiz Review Worksheet Find each percent increase or decrease. If necessary, round answers to the nearest tenth. 1. 6 is increased to 18 2. 450 is decreased to 300 Find the new amount after each increase or decrease. Round to the nearest tenth. 3. 25 is increased by 30% 4. 685 is decreased by 15% Find the amount of sales tax and the total price (including sales tax) of the item. 5. $18.50; 5% sales tax 6. $21.95; 6.25% sales tax Find the amount of interest using the simple interest formula. 7. $475 at 8% for 2 years 8. $500 at 7.5% for 30 months Find the amount of interest using the compound interest formula. 9. $475 at 8% for 2 years 10. $500 at 7.5% for 30 months Solve the following problems. Donโt forget your labels! 11. Cameron borrowed $2500 at 7% simple interest for 3 years. How much must he repay? 12. Chris deposited $2000 into an account that pays an interest rate of 5.7% compounded annually. She does not add or remove any money from her account for 5 years. How much money will be in Chrisโs account at the end of the five years? Find the percent error for each problem. Be sure to show all work. Round answers to the nearest tenth. 13. Lynn measured the volume of her water before she drank it. She measured the volume of the 16 ounce bottle to be 18 ounces. 14. Alex was asked to weigh a 250 g magnet on the balance scale. After fooling around for a few minutes, he quickly weighed the object and reported that is weighed 275 g. Solve using an equation or proportion. If necessary, round answers to the nearest tenth or nearest cent. 15. A car salesman makes a 6% commission on all of the merchandise that he sells. How much merchandise does he have to sell in order to make $2700? 16. Hollister has a wool sweater bought a wool sweater from their supplier for $37.95. They are going to mark it up 20%. How much will the sweater cost in their store?