Name: Class: Date: ID: A Chapter 6 - Percents Multiple Choice Identify the choice that best completes the statement answers the question. 1. Write 54% as a fraction in simplest fm. a. 1 27 50 c. b. 50 27 d. 0.54 2. Write 33% as a decimal. a. 3.3 c. 0.33 33 b. d. 3.03 3. Write 3.37 as a percent. a. 337% c. 33.7% b. 3.37% d. 0.337% 4. Write 0.93 as a percent. 93 a. % c. 9.3% b. 0.0093% d. 93% 27 50 5. Write 7 as a percent. 10 a. 70% c. 0.7 b. 142.86% d. 0.7% 6. Estimate 8% of 62. a. 8 c. 600 b. 6 d. 9 7. Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike f $179.98. Kammie Cycles sells the same bicycle f $280.20. Today, Kammie Cycles decides to offer a 19% discount on the mountain bike. Which ste offers the better deal? a. Kammie Cycles b. Eddicycle Cycle Shop 8. Estimate 93% of 149. a. 13.5 c. 169.5 b. 135 d. 111.6 9. Luisa sells stuffed animals. She sells a stuffed elephant f $34.90, and the sales tax is 9% of the sale price. About how much is the sales tax on the elephant? a. $0.32 c. $3.15 b. $4.90 d. $4.95 1
Name: ID: A 10. Find 30% of 70. a. 2 c. 233.33 b. 21 d. 16.6 11. Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Indiana has a surface area that is approximately 6% of the surface area of Alaska. What is the approximate surface area of Indiana? a. 3,528,000 square miles c. 9,800 square miles b. 35,280 square miles d. 98 square miles 12. Iris wants to buy two necklaces, one f her sister and one f herself. The necklace f her sister costs $42.00, and the necklace f herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris s purchases, including sales tax. If necessary, round your answer to the nearest cent. a. $64.40 c. $75.60 b. $5.60 d. $70.00 13. 39 is what percent of 80? If necessary, round your answer to the nearest tenth. a. 0.5% c. 48.8% b. 205.1% d. 2.1% 14. What percent of 146 is 39? If necessary, round your answer to the nearest hundredth. a. 0.27% c. 73.29% b. 374.36% d. 26.71% 15. Jenny bought scrapbooking supplies f $70.75. She paid $5.66 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth. a. 7.5% c. 7% b. 8% d. 9% 16. Find the percent of change when 40 is increased to 83. If necessary, round your answer to the nearest tenth. a. 107.5% increase c. 51.8% decrease b. 107.5% decrease d. 51.8% increase 17. Roberto farms a tract of land that typically yields 69.6 kilograms of peas. A fertilizer manufacturer claims that its fertilizer will produce a 60% increase in the yield. What total amount of peas should Roberto expect from this tract of land if he applies the fertilizer? If necessary, round your answer to the nearest hundredth. a. 27.84 kilograms c. 111.36 kilograms b. 41.76 kilograms d. 4,245.6 kilograms 2
Name: ID: A 18. Mr. Rodriguez sells holiday greeting cards in his gift shop. Befe the holidays, he sells the cards at a 200% markup on the price he paid to his supplier. After the holidays, he discounts the cards 55%. What is the post-holiday price of two cards he iginally bought from his supplier f $1.25 and $2.50, respectively? a. $1.13; $2.25 c. $2.06; $4.13 b. $1.69; $3.38 d. $1.38; $2.75 19. Kayleigh wants to buy a car that costs $17,360.00. She deposits $14,000.00 into a savings account that earns 8% simple interest. How long must Kayleigh leave the money in the savings account to be able to buy the car? a. 16 years c. 3 years b. 4.5 years d. 3 months 20. Find the missing value. I =?, P = $250.00, r = 4%, t = 2 years a. $3,125.00 c. $270.00 b. $20.00 d. $2,000.00 Matching Match each vocabulary term with its definition. a. interest f. principal b. percent g. simple interest c. percent of change h. rate d. percent of decrease i. ratio e. percent of increase 21. a fixed percent of the principal found by using the fmula I = Prt, where P represents the principal, r represents the rate of interest, and t represents the time 22. the amount of money charged f browing using money, the amount of money earned by saving money 23. the amount that a number increases decreases stated as a percent 24. a percent change describing an increase in a quantity 25. a percent change describing a decrease in a quantity 26. a ratio comparing a number to 27. the initial amount of money browed saved 3
Name: ID: A Sht Answer - Pick 4 28. Write 40% as a fraction in simplest fm. Explain how you got the answer. 29. A tube of toothpaste holds 21 ounces of toothpaste, but 26.5% of the toothpaste has been used. Use a fraction and a compatible number to estimate the amount of toothpaste that has been used. Explain how you got the answer. 30. A gas station sold 1625 gallons of regular fuel and 650 gallons of diesel fuel last month. What percent of the fuel sold was diesel fuel, to the nearest tenth of a percent? Explain. 31. A house is valued at $118,000.00. The homeowner decides to add on a two-car garage that increases the value of the home by 15%. How much will the house be wth? Explain. 32. Ahmad browed $3,000 from the bank to buy a used car. He has to pay 8% simple interest on the loan. If Ahmad repays the loan in 3 years, how much interest will he pay? Explain. 33. A car rental company increases daily rental fees 15% in the summer to cover increased fuel costs. Then, they have a 25% off promotion f the fall. If you rent a car f $36.00 per day befe the summer, what would the per-day rental cost be during the fall promotion? Essay - Pick One 34. Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon. 35. If a tree grows during the course of a year, is its percent change an increase a decrease? Explain how you would determine the percent change. 36. Suppose you had money in savings accounts at two different banks. If the amount of money in the first account is greater than the amount of money in the second account, can you assume that the first bank pays a higher interest rate? If not, what infmation would you need to determine which bank pays the higher interest rate? 4
Chapter 6 - Percents Answer Section MULTIPLE CHOICE 1. ANS: C 54% = 54 Write the percent as a fraction with a denominat of. = 27 50 Write the fraction in simplest fm. DIF: Average REF: Page 330 TOP: 6-1 Percents KEY: percent fraction 2. ANS: C 33% = 33 Write the percent as a fraction with a denominat of. = 0.33 Write the fraction as a decimal. DIF: Basic REF: Page 331 TOP: 6-1 Percents KEY: percent decimal 3. ANS: A Move the decimal point two places to the right. 3.37 = 337% DIF: Advanced TOP: 6-1 Percents 4. ANS: D Move the decimal point two places to the right and add a percent sign. DIF: Basic REF: Page 333 TOP: 6-2 Fractions Decimals and Percents KEY: decimal percent 5. ANS: A Write the fraction as a decimal by dividing the numerat by the denominat. Then, write the decimal as a percent. DIF: Average REF: Page 333 TOP: 6-2 Fractions Decimals and Percents KEY: fraction percent 6. ANS: B 8% is about 10%, and 10% is equivalent to 1 10. Change 62 to a compatible number: 60. 8% of 62 1 10 60 6 DIF: Average REF: Page 336 TOP: 6-3 Estimate with Percents KEY: estimate fraction percent 1
7. ANS: B First, find the discount on the mountain bike at Kammie Cycles. Find a fraction that is close to the discount percent, and find a compatible number that is close to the cost of the mountain bike. Multiply the fraction and the compatible number. Compare the discounted cost of the mountain bike at Kammie Cycles and the cost of the mountain bike at Eddicycle Cycle Shop. DIF: Average REF: Page 336 TOP: 6-3 Estimate with Percents KEY: estimate fraction percent 8. ANS: B If the percent is 5% less, use 1% to estimate. If the percent is 6% greater, round to the nearest 10%. To find 1% of a number, move the decimal point two places to the left. To find 10% of a number, move the decimal point one place to the left. DIF: Average REF: Page 337 TOP: 6-3 Estimate with Percents KEY: estimate percent 9. ANS: C If the sales tax is 5% less, use 1% to estimate. If the sales tax is between 6% and 10%, use 10% to estimate. DIF: Average REF: Page 337 TOP: 6-3 Estimate with Percents KEY: estimate percent 10. ANS: B part whole = percent Use the percent proption. x 70 = 30 Let x represent the part. x = 70( 30) Find the cross products. x 70 = ( 30 ) x = 21 30% of 70 is 21. Since x is multiplied by, divide both sides by to undo the multiplication. DIF: Basic REF: Page 342 TOP: 6-4 Percent of a Number KEY: percent multiplication 2
11. ANS: B First, write 6% as a decimal. 6% = 0.6. Then, multiply 588,000 and 0.6. 588,000 0.6 = 35,280 The surface area of Indiana is about 35,280 square miles. DIF: Average REF: Page 343 TOP: 6-4 Percent of a Number KEY: percent 12. ANS: C Find the total cost. $42.00 + $28.00 = $70.00 Find the sales tax. 8% of $70.00 = 0.08 $70.00 = $5.60 Find the total cost including sales tax. $70.00 + $5.60 = $75.60 DIF: Advanced TOP: 6-4 Percent of a Number 13. ANS: C 39 80 = n Write a proption. 39 = 80 n Set the cross products equal. 3900 = 80n Multiply. 48.8 = n Divide to isolate n. DIF: Average REF: Page 346 TOP: 6-5 Solving Percent Problems KEY: percent 14. ANS: D 39 = 146x Write an equation. Let x represent the percent. 39 146 = 146x 146 0.27 = x The answer is a decimal. 26.71% = x Write the decimal as a percent. 39 is 26.71% of 146. Since x is multiplied by 146, divide both sides by 146 to undo the multiplication. DIF: Advanced REF: Page 347 TOP: 6-5 Solving Percent Problems KEY: percent 3
15. ANS: B 5.66 70.75 = n Write a proption. 5.66 = 70.75 n Set the cross products equal. 566 = 70.75n Multiply. 8 = n Divide to isolate n. If necessary, round. DIF: Average REF: Page 347 TOP: 6-5 Solving Percent Problems 16. ANS: A Step 1 Find the amount of change. 83 40 = 43 Step 2 Substitute the values into the fmula. percent change = 43 40 Step 3 Divide. Write as a percent. If necessary, round. 43 40 107.5% DIF: Average REF: Page 352 TOP: 6-6 Percent of Change KEY: percent change percent decrease percent increase 17. ANS: C Step 1 Find the amount of increase. Write the percent as a decimal. Then, multiply the decimal by the iginal amount. 60% = 0.6 To the nearest hundredth, 0.6 69.6 = 41.76. Step 2 Find the total amount of peas. Add the amount of increase and the iginal amount. 41.76 + 69.6 = 111.36 Roberto should expect 111.36 kilograms of peas. DIF: Average REF: Page 353 TOP: 6-6 Percent of Change KEY: percent change percent decrease percent increase 4
18. ANS: B Step 1 Calculate the pre-holiday price. The selling price befe the holidays is 300% of the supplier s price. Supplier s price + markup = selling price % + 200% = 300% F each card, find 300% of the supplier s price. This is the pre-holiday price. First card: 3.00( 1.25) = 3.75 Second card: 3.00( 2.50) = 7.50 Step 2 Calculate the post-holiday price. The selling price after the holidays is 45% of the pre-holiday price. % 55% = 45% F each card, find 45% of the pre-holiday price. This is the post-holiday price. First card: 0.45( 3.75) = 1.69 Second card: 0.45( 7.50) = 3.38 DIF: Advanced TOP: 6-6 Percent of Change KEY: multi-step 19. ANS: C A = P + I 17,360.00 = 14,000.00 + I Substitute. 3,360.00 = I Subtract to isolate I. I = P r t Use the simple interest fmula. 3,360.00 = 14,000.00(0.08)t Substitute. 3 = t Divide to isolate t. DIF: Average REF: Page 357 TOP: 6-7 Simple Interest KEY: interest simple interest 20. ANS: B I = P r t Use the simple interest fmula. I = 250.00(0.04)(2) Substitute. I = 20.00 Multiply. DIF: Basic REF: Page 356 TOP: 6-7 Simple Interest KEY: interest simple interest MATCHING 21. ANS: G DIF: Basic REF: Page 356 TOP: 6-7 Simple Interest 22. ANS: A DIF: Basic REF: Page 356 TOP: 6-7 Simple Interest 23. ANS: C DIF: Basic REF: Page 352 TOP: 6-6 Percent of Change 24. ANS: E DIF: Basic REF: Page 352 TOP: 6-6 Percent of Change 25. ANS: D DIF: Basic REF: Page 324 TOP: 6-6 Percent of Change 26. ANS: B DIF: Basic REF: Page 330 TOP: 6-1 Percents 5
27. ANS: F DIF: Basic REF: Page 356 TOP: 6-7 Simple Interest SHORT ANSWER 28. ANS: 2 5 Write the percent as a fraction with a denominat of : 40. Simplify the fraction: 40 = 2 5. 4 The solution is crect, and all of the wk is shown as above. A different logical method is used to find the crect solution. 3 The solution is crect, but not all of the wk is shown. 2 The solution is increct, but the wk shows understanding of the concept. 1 The solution is increct, and the wk shows no understanding of the concept. DIF: Average TOP: 6-2 Fractions Decimals and Percents KEY: fraction percent Perfmance Assessment 29. ANS: 5 ounces 26.5% is close to 25%, which equals 1 4. 21 oz is close to 20 oz. 20 oz 1 4 = 5 oz 4 The solution is crect, and all of the wk is shown as above. A different logical method is used to find the crect solution. 3 The solution is crect, but not all of the wk is shown. 2 The solution is increct, but the wk shows understanding of the concept. 1 The solution is increct, and the wk shows no understanding of the concept. DIF: Average TOP: 6-3 Estimate with Percents KEY: estimate fraction percent Perfmance Assessment 6
30. ANS: 28.6% regular fuel + diesel fuel = fuel sold 1625 + 650 = 2275 diesel fuel = percent fuelsold 650 28.6% 2275 4 The solution is crect, and all of the wk is shown as above. A different logical method is used to find the crect solution. 3 The solution is crect, but not all of the wk is shown. 2 The solution is increct, but the wk shows understanding of the concept. 1 The solution is increct, and the wk shows no understanding of the concept. DIF: Average TOP: 6-5 Solving Percent Problems KEY: percent Perfmance Assessment 31. ANS: $135,700.00 15% = 0.15 value percent increase = amount of increase 0.15 118000 = 17700 value + amount of increase = new value 118000 + 17700 = 135700 4 The solution is crect, and all of the wk is shown as above. A different logical method is used to find the crect solution. 3 The solution is crect, but not all of the wk is shown. 2 The solution is increct, but the wk shows understanding of the concept. 1 The solution is increct, and the wk shows no understanding of the concept. DIF: Average TOP: 6-6 Percent of Change KEY: percent change percent increase Perfmance Assessment 7
32. ANS: $720 P = 3000, r = 0.08, t = 3 I = P r t I = 3000 0.08 3 I = 720 4 The solution is crect, and all of the wk is shown as above. A different logical method is used to find the crect solution. 3 The solution is crect, but not all of the wk is shown. 2 The solution is increct, but the wk shows understanding of the concept. 1 The solution is increct, and the wk shows no understanding of the concept. DIF: Average TOP: 6-7 Simple Interest KEY: interest Perfmance Assessment simple interest 33. ANS: $31.05 DIF: Advanced TOP: 6-6 Percent of Change KEY: multi-step percent increase percent decrease percent ESSAY 34. ANS: Since you know the percent of air and the amount of air, set up a proption: current amount of air = percent Total air Substitute the values you know and solve f the TOTAL air. 4 The solution is crect, and the explanation is complete as above. The solution is crect, and a different logical explanation is given. 3 The solution is crect, but the explanation is incomplete. 2 The solution is increct, but the explanation shows some understanding of the concept. 1 The solution is increct, and the explanation is missing shows no understanding of the concept. DIF: Average TOP: 6-5 Solving Percent Problems KEY: percent Perfmance Assessment 8
35. ANS: Percent increase. Subtract the tree s iginal height from its new height. Divide the difference by the iginal height and multiply by to get the percent change. 4 The solution is crect, and the explanation is complete as above. The solution is crect, and a different logical explanation is given. 3 The solution is crect, but the explanation is incomplete. 2 The solution is increct, but the explanation shows some understanding of the concept. 1 The solution is increct, and the explanation is missing shows no understanding of the concept. DIF: Average TOP: 6-6 Percent of Change KEY: percent change percent decrease percent increase Perfmance Assessment 36. ANS: No. You have to know how much money is currently in each account, how much money was iginally deposited in each account, and how long ago it was deposited. 4 The solution is crect, and the explanation is complete as above. The solution is crect, and a different logical explanation is given. 3 The solution is crect, but the explanation is incomplete. 2 The solution is increct, but the explanation shows some understanding of the concept. 1 The solution is increct, and the explanation is missing shows no understanding of the concept. DIF: Average TOP: 6-7 Simple Interest KEY: interest Perfmance Assessment simple interest 9