Short-Response Questions

UNIT2 Chapters BUILDING 4 7 Strategies for Answering Scoring Rubric Full credit answer is correct, and work and reasoning are included Partial credit answer is correct, but reasoning is incorrect, or answer is incorrect, but reasoning is correct No credit no answer is given or answer does not make sense Data is used to justify the solution. Short-Response Questions Problem Your mom asks you to help her at her office for a few weeks. She offers to pay you $50 the first day with an 18% raise each day. You make a counteroffer to receive $50 the first day but with a $10 raise each day. Which payment option is a better deal for you? Full-credit solution Mom s offer is plan A; your offer is plan B. Day 1 2 3 4 5 6 Plan A pay 50.00 59.00 69.62 82.15 96.94 114.39 Plan A total 50.00 109.00 178.62 260.77 357.71 472.10 Plan B pay 50.00 60.00 70.00 80.00 90.00 100.00 Plan B total 50.00 110.00 180.00 260.00 350.00 450.00 The question is answered clearly and in complete sentences. Plan B is better if you work 3 days or less, but Plan A is better if you work more than 4 days. By day 6, the pay with the 18% increase is more than the pay with a $10 raise, so it will continue to be the better plan. Partial-credit solution I think Plan A is better than Plan B. The calculations are correct. The reasoning is faulty, because the total amount earned was not considered. Day 1 2 3 4 5 6 Plan A 50.00 59.00 69.62 82.15 96.94 114.39 Plan B 50.00 60.00 70.00 80.00 90.00 100.00 The first 3 days, Plan B is better. The next 3 days, Plan A is better. By day 4, Plan A pays you more money, so it is a better plan. 54 PASS Keys for the Oklahoma Core Curriculum Test, Course 3

Partial-credit solution The data does not include information past Day 4. So, the answer is incorrect. The data is calculated correctly. Plan B is better. The table shows that over the first three days, Plan B pays out $0.38 more than Plan A. Day 1 2 3 Plan A 50.00 59.00 69.62 Plan B 50.00 60.00 70.00 Difference 0 1.00 0.38 No-credit solution The answer is incorrect. The data is not calculated correctly. Plan B is better. Day 1 2 3 Plan A 50.00 59.00 68.00 Plan B 50.00 60.00 70.00 Watch Out! Be sure to explain your reasoning clearly. Your turn now Score each solution to the short response question below as full credit, partial credit, or no credit. Explain your reasoning. Problem The Sphinx travels 367.2 miles on 18 gallons of gas. The Phoenix travels 348.5 miles on 17 gallons of gas. Which car is more fuel efficient? 1. The Sphinx traveled 18.7 miles farther than the Phoenix. It is more fuel efficient. 2. The Phoenix gets 20.5 miles to the gallon. The Sphinx gets 20.4 miles to the gallon. The more fuel efficient car is the Phoenix. Car Distance Gallons MPG Sphinx 367.2 18 20.4 Phoenix 348.5 17 20.5 3. If the two cars traveled 1,000 miles each, the Sphinx would use 49.02 gallons of gasoline and the Phoenix would use 48.78 gallons of gasoline. 55

UNIT2 Chapters 4 7 PRACTICING Short Response 1. Olivia measures the distance on a map between Las Vegas, Nevada and New Orleans, Louisiana as 65 centimeters. The legend on the map indicates 1 centimeter 20 miles. What is the actual distance between the two cities? 2. Bryan has three times as much money as Brent. Brad has ten dollars more than twice the amount Brent has. Bryan and Brent together have the same amount as Brad. How much money does each boy have? Write your answer in dollars and cents. 7. Grace, Alexa, and Molly have put their money together to buy a present for their friend, Emma. Grace has contributed 32% and Alexa has contributed 3 8 of the cost of the present. How much did Molly contribute to the present for Emma? Give your answer as a fraction and as a percent. 8. The baseball team s statistician tracks the number of home runs that each player hits in a season. The table shows the current totals. 3. David is shopping for a new jacket. The first jacket he finds is on sale for 15% off the original price of $59.90. The second jacket he finds is on sale for 10% off the original price of $56.75. There is a 7% sales tax on both jackets. Which jacket costs less? Explain your answer. 4. Pablo needs at least $785 for a school trip. His parents have agreed to pay $500 of the amount needed for the trip. Pablo cuts people s lawns for $25 a job. How many lawn-cutting jobs must Pablo have to earn enough money for his trip? Write and solve an inequality to answer the question. Player Number of Home Runs Michael 12 Carlos 11 Ryan 5 Andrew 8 Geoffrey 6 James 0 Eli 10 Charles 7 Derrick 13 What is the mean number of home runs hit by the team? How many players hit more home runs than this average? 5. A jar contains 6 black marbles, 13 white marbles, 5 purple marbles, and 16 green marbles. Jody picks one marble at random. What is the probability that Jody s marble is not black? 6. Dominic s science teacher gives a test every 10 school days, and his English teacher gives a spelling test every 6 school days. Dominic had a science test and a spelling test today. When will Dominic have a science test and a spelling test on the same day again? 9. Jan parks in front of a parking meter at 1:45 P.M. After 5:30 P.M., she doesn t have to pay to park. The meter only takes quarters, and $0.25 pays for 15 minutes of parking. Jan plans to leave her car in the same place until 7:15 P.M. How much money should she put in the meter? Give your answer in dollars and cents. Explain. 56 PASS Keys for the Oklahoma Core Curriculum Test, Course 3

Multiple Choice 10. Donna has her computer set up to randomly display a different screen saver every day. She has downloaded 18 pictures of mountain scenes and 12 pictures of waterfall scenes. What is the probability that her screen saver will be a waterfall scene today? A. 2 3 B. 2 5 C. 3 5 D. 3 2 11. The circumference of a conference table is about 24 feet. What is the best estimate of the table s diameter? F. 76 feet G. 38 feet H. 7.6 feet I. 3.8 feet 12. A long distance telephone call costs $0.50 for the first minute, and $0.10 for each minute after that. How many minutes long is a call that costs $2.50? A. 25 minutes B. 21 minutes C. 20 minutes D. 5 minutes 13. Chen has 3 one-dollar bills for every 5 five-dollar bills in his wallet. Chen wants to know how many one-dollar bills he has if he has $50 in five dollar bills. Which proportion can Chen use? F. 3 5 x 10 G. 3 5 1 0 x H. 3 5 x 50 I. 3 5 5 x0 14. What is the prime factorization of 96? A. 3 2 p 2 p 3 B. 3 2 p 6 C. 2 4 p 6 D. 2 5 p 3 15. Four select soccer teams are each divided into small groups to scrimmage. Every scrimmage group has exactly 5 players on it, and every member of a select team is on a scrimmage team. How many total select team players could be on each scrimmage team? F. 20, 30, 40 G. 20, 40, 60 H. 20, 25, 40 I. 4, 5, 20 Extended Response 16. Mr. Franco is a car salesman. The table shows his sales by month for the last year. Find the median number of cars sold in this time period. Jan Feb Mar Apr May June July Aug Sept Nov Dec 4 11 12 15 16 9 20 18 13 19 12 The month of October was omitted because Mr. Franco was on vacation. If he did not go on vacation and the number of cars he sold in October had been the mean average of the previous three months, what would be the median of cars sold with October sales included? Explain your answer. 17. Mieko attends the grand opening of a clothing store. As she enters the store she receives a coupon for an additional 15% off the cost of any item in the store. Mieko finds a skirt that she would like to buy with an original price of $40 but is on sale for 25% off the original price. Mieko determines that the cost of the skirt before sales tax will be $24 with her discount from the store coupon. Is Mieko correct? Explain your answer. 57

UNIT2 Chapters PRACTICING 4 7 Cumulative Practice for Chapters 4 7 Chapter 4 Multiple Choice In Exercises 1 7, choose the letter of the correct answer. 1. What is the prime factorization of 72? (Lesson 4.1) A. 2 3 p 3 2 B. 6 2 p 2 C. 2 3 p 9 D. 8 p 3 2 8. Short Response A doctor, a physician s assistant, and a physical therapist have a medical practice together. The doctor sees a new patient every 12 minutes. The physician s assistant sees a new patient every 8 minutes. The physical therapist sees a new patient every 30 minutes. How often do all three see a new patient at the same time? Explain. (Lesson 4.4) 2. What is the greatest common factor of 84 and 105? (Lesson 4.2) F. 3 G. 7 H. 14 I. 21 3. Which fractions are equivalent? (Lesson 4.3) A. 6 8, 9 11 B. 1 2, 1 4 30 32 C. 1 6 48, 1 7 51 D. 7 35, 1 3 41 4. Which set of fractions is ordered from least to greatest? (Lesson 4.5) F. 1 7 2, 3 5, 2 3, 5 8 G. 1 6, 1 5, 2 9, 1 4 H. 1 2, 4 7, 6 11, 8 13 I. 4 5, 5 7, 7 8, 9 10 5. What is the value of the expression 3 4 p 3 2 4 3? (Lesson 4.6) A. 665 B. 665 C. 64 D. 44 6. What is the value of the expression 4 p 4 3? (Lesson 4.7) 1 1 F. G. 16 H. 16 I. 1 6 1 6 9. Extended Response A sporting goods store is holding a special sale to attract customers. The store is giving away 10% discount coupons to everyone, and every fifteenth customer receives another coupon for an additional 25% off any item purchased that day. Every one-hundredth customer also received a $25 gift certificate that must be used on a visit to the store on another day. (Lesson 4.4) a. If the store gave away exactly 139 coupons for 25% off, how many customers did the store have that day? Explain. b. Refering to question a, how many $25 gift certificates did the store give away? Explain. c. How many customers that day received a 25% discount coupon and a $25 gift certificate? Explain. Chapter 5 Multiple Choice In Exercises 10 16, choose the letter of the correct answer. 7. Which is not in scientific notation? (Lesson 4.8) A. 2.5 10 5 B. 1 10 3 C. 0.3 10 6 D. 4.68 10 4 10. You need 8 3 yards of fabric to reupholster 4 a chair and 2 3 4 yards of fabric to make pillows. How many yards of fabric should you purchase? (Lesson 5.1) F. 10 3 4 G. 10 6 8 H. 11 1 2 I. 10 1 2 58 PASS Keys for the Oklahoma Core Curriculum Test, Course 3

8 11. Find the difference 1 5 4. (Lesson 5.2) 10 A. 4 5 B. 2 15 C. 4 25 D. 4 150 12. Find the product 2 1 4 p 5. (Lesson 5.3) 9 18. Extended Response Robert s long distance plan charges $0.30 per minute before 9:00 P.M. and $0.08 per minute after 9:00 P.M. Robert begins a long distance call at 8:52 P.M. and ends the call at 9:15 P.M. (Lessons 5.6, 5.7) 5 F. 2 3 6 G. 1 2 5 36 H. 1 1 4 I. 5 18 13. What is the value of n in the equation 5 n 15? (Lesson 5.4) 6 A. 1 2 B. 12 1 2 C. 14 1 D. 18 6 14. In your class, 2 4 of the students have 30 siblings. What is another way to write this number? (Lesson 5.5) F. 0.8 G. 0.74 H. 0.2 I. 0.24 15. What is the value of the expression 4.613 ( 7.8)? (Lesson 5.6) A. 12.413 B. 12.713 a. Find the cost of the phone call. b. At 9:30 P.M. Robert makes another long distance call. He talks for the same amount of time as he did on the previous call. Find the cost of the second phone call. c. What is the price difference of Robert s first call and his second call? Chapter 6 Multiple Choice In Exercises 19 23, choose the letter of the correct answer. 19. What is the value of x in the equation 5x 9 3x 7? (Lesson 6.1) A. 2 B. 2 C. 1 4 D. 1 4 C. 11.621 D. 3.187 16. What is the value of the expression 3.74 p 9.3? (Lesson 5.7) F. 5.56 G. 13.04 H. 347.82 I. 34.782 17. Short Response Four students were playing a math game. Each student drew a card from a box with a number written on it. The person with the highest number won. Joseph picked a card with the number 5 9, Marcus picked a card with the number 0.5, 6 Lemar picked a card with the number 1 1, and Kinesha picked a card with the number 0.55. Which student won the game? Explain. (Lesson 5.5) 20. What is the value of w in the equation w 17 13 4w? (Lesson 6.2) F. 10 G. 10 H. 6 I. 6 21. Find the circumference of the circle. Use 3.14 for π. (Lesson 6.4) A. 81.64 in. B. 163.28 in. C. 326.56 in. D. 8,490.56 in. 52 in. 22. What is the solution to the inequality 4y 3 > 9? (Lesson 6.4) F. y > 3 G. y < 3 H. y > 1.5 I. y < 1.5 23. Tasha has $75 to spend on DVDs that cost $18.99 each. What is the greatest number of DVDs that Tasha can buy? (Lesson 6.6) A. 3 B. 4 C. 5 D. 6 59

24. Short Response Marissa wants to put a ribbon around all the edges and features of this figure. How many centimeters of ribbon will she need? Use 3.14 for π. Explain your answer. (Lesson 6.4) 1 22 2 cm 5.5 cm 7 cm 3 31 4 cm 25. Extended Response Carena wants to buy a tablecloth for a table with a diameter of 24 inches. However, she would like the tablecloth to hang down 3 inches on all sides of the table. (Lesson 6.3) a. What is the circumference of the tablecloth that Carena needs to buy? Use 3.14 for π. Explain your answer. 29. The cost of your family s monthly cable bill increased by 6%. The new monthly fee is $34.45. What was the cost before the increase? (Lesson 7.5) F. $28.45 G. $32.38 H. $32.50 I. $36.52 30. What is the total cost of a diamond bracelet priced at $799.50 with 6% sales tax? (Lesson 7.6) A. $754.25 B. $799.56 C. $805.50 D. $847.47 31. You invested $250 in an account that pays 4% simple annual interest. What is the account balance after 42 months? (Lesson 7.7) F. $35 G. $285 H. $670 I. $42,000 b. Carena also wants to sew a ruffle around the edge of the new tablecloth. The ruffle will require 2 1 2 times the fabric as the edge around the tablecloth. How many inches of fabric will Carena need to buy to make the ruffle? Explain your answer. Chapter 7 Multiple Choice In Exercises 26 31, choose the letter of the correct answer. 26. You buy a sheet cake that serves 48 people. The cake costs $24.96. What is the cost per serving? (Lesson 7.1) A. $11.98 B. $1,198.08 C. $0.052 D. $0.52 9 27. Solve the proportion 4 9 8 1. (Lesson 7.2) x F. 2.025 G. 14.877 H. 360 I. 441 28. 17 is what percent of 68? (Lesson 7.3) A. 4% B. 25% C. 33.3 % D. 75% 32. Short Response You are playing a game in which the numbers from 21 70 are placed in a box. You may advance to the next round if the number you draw from the box is a multiple of 4. Each time a number is drawn, it is put back in the box. What is the probability that you will be able to advance to the next round with your pick from the box? Explain your answer. (Lesson 7.8) 33. Extended Response The graph shows the results of a poll in which 423 people had a dog for a pet. (Lesson 7.4) a. Find the total number of people surveyed. b. How many people surveyed had a cat for a pet? c. How many people had either a fish or bird as a pet? Pets Owned by People No Pet 12% Bird 16% Cat 28% Dog 36% Fish 8% 60 PASS Keys for the Oklahoma Core Curriculum Test, Course 3