Answers - Tredyffrin/Easttown School District / Overview



Spring Break Extra Credit – OPTIONALCriteria/Directions: This assignment is completely OPTIONAL to all of Miss. Ciccanti’s Pre-Algebra students. This assignment is a review of various topics covered throughout the year. Students are required to complete the ENTIRE assignment in order to get credit. NO credit will be given for half completed packets!! ALL work must be shown in order to receive credit for the problem!! Students may choose which test score to add the extra credit point on to. They may only choose ONE Test score, not multiple!!!The test score will NOT go over 100%!!!!Points will be calculated as follows: 100% correct = 10 points added to test score (not exceeding 100%)90% or better = 8 points added to test score (not exceeding 100%)80% or better = 6 points added to test score (not exceeding 100%)70% or better = 4 points added to test score (not exceeding 100%)60% or better = 2 points added to test score (not exceeding 100%)Below 60% = no points added to test score Everyone who completes the assignment in FULL will also receive 1 percentage point increase on their overall grade for the 3rd marking period, regardless of points earned above. Assignment MUST be turned in on Tuesday, March 29th. NO EXCEPTIONS!!!! You may scan and email the assignment to me if needed!Spring Break Extra CreditName:_____________________________________________ Unit Test Applied to:____________________1. Which value of x makes the following equation true?3(x - 4) - 16 = 2(x - 8) + 8A.12B.28C.16D.202. Which value of x makes the following equation true?3(x - 5) - 14 = 2(x - 7) + 5A.20B.27C.13D.153543300484505003. Coach Rawlings wants to determine if there is a correlation between the length of a student's arm and the distance the student can throw a discus.What can be interpreted from this data? A.There is both a positive and a negative correlation between the length of a student's arm and the distance the student can throw a discus.B.There is no correlation between the length of a student's arm and the distance the student can throw a discus.C.There is a positive correlation between the length of a student's arm and the distance the student can throw a discus.D.There is a negative correlation between the length of a student's arm and the distance the student can throw a discus.2301240243840004. Which of the following best describes the solution to the equation below?A.exactly one real solution, 1567815-190500B.infinite real solutionsC.no real solutionsD.exactly one real solution, 15678151905005. Which of the following relations is not a function? How do you know?A.(-6, 4), (2, 3), (-4, 1), (5, 2)B.(-4, 4), (2, 2), (5, 1), (-6, 5)C.(5, 4), (-4, 2), (2, 1), (-6, 2)D.(2, 4), (-4, 2), (2, 1), (-6, 2)2857500170180006. Compare the rates of change of the following items.A.The rate of change of item I is equal to the rate of change of item II.B.The rate of change of item II is greater than the rate of change of item I.C.The rate of change of item I is greater than the rate of change of item II.7. Which of the following best describes the solution to the equation below?16x + 9 = 8x + 39A.exactly one real solution, B.no real solutionsC.infinite real solutionsD.exactly one real solution,4625340668020008. At some companies, employees accrue vacation days based on the number of years they have been at the company. The graph below shows a line of best fit for data collected on the number of vacation days accrued by employees at different companies.The equation for the line of best fit is shown below.Based on the line of best fit, if an employee works at a company for six years, how much vacation time will he or she accrue? A.13 daysB.15 daysC.6 daysD.20 days9. Which of the following is equal to 10? A.B.C.D.39471602819400010. The scatter plot and a line of best fit show the relationship for 10 people between weight gain and the number of doughnuts eaten.Which statement describes the relationship between weight gain and the number of doughnuts eaten? A.There was an eight pound increase in weight for every five doughnuts eaten.B.A weight gain of more than five pounds was from less than four doughnuts eaten.C.The number of doughnuts eaten decreased with an increase of weight gain.D.There was a five pound increase in weight for every eight doughnuts eaten.11. Solve for x.A.B.C.D.12. Which of the following is a rational number? A.B.C.D.13. Which of the following is equal to 2? A.B.C.D.40614604851400014. Which of the following best describes the relationship between the variables on the scatter plot below?A.positive and negative correlationB.no correlationC.positive correlationD.negative correlation15. Which of the following best describes the ordered pairs listed below?(-3, -6), (3, -12), (-3, -13), (5, -14)A.both a relation and a functionB.neither a relation nor a functionC.relation onlyD.function only16. Blakely recorded the number of squash harvested last winter at her local community garden. Her data is shown on the graph below.406146014986000At what rate were the squashes harvested? A.B.C.D.17. Solve for x.A.B.C.D.18. Note: Figure is not drawn to scale.If l = 12 cm and m = 5 cm, what is the length of n? A.13 cmB.10 cmC.14 cmD.11 cm39243002070100019. Describe the behavior of the graph below.A.The graph is increasing when x > 8.B.The graph is increasing for all values of x.C.The graph is decreasing for all values of x.D.The graph is decreasing when x < 8.20. Which of the following represents a function? A.x-12-9-22y24223024B.x-12-9-2-9y24222423C.x-12-9-122y24243023D.x-12-9-2-2y2422242321. Which of the following best describes the solution to the equation below?A.infinite real solutionsB.no real solutionsC.exactly one real solution, D.exactly one real solution, 22. Which of the scatter plots below shows the most accurate line of best fit? 0000W.0000X.Y.Z.A.ZB.YC.XD.W23. Which of the following is a rational number? A.B.C.D.24. Which of the following best describes the solution to the equation below?8x + 16 = -22 + 8xA.no real solutionsB.infinite real solutionsC.exactly one real solution, D.exactly one real solution, 25. Two freight trains are delivering cargo. One freight train is delivering coal, and the other freight train is delivering grain. Their respective distances traveled after x?hours is represented in the table and graph below.Coal Freight TrainTime(Hours)Distance Traveled(Miles)150210031504200?-3175-2222500Which freight train is traveling at a faster speed? A.The grain freight train is traveling at a faster speed.B.Both freight trains are traveling at the same speed.C.The coal freight train is traveling at a faster speed.D.There is not enough information to determine the speed of the trains.26. Which of the following is an irrational number? A.B.C.D.27. Gene has a gasoline budget of $250 per month. He uses an average of $5 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving? A.y = 250x - 5B.y = 5x - 250C.y = 250 + 5xD.y = 250 - 5x28. Which of the following is an irrational number? A.B.C.D.29. The length of an object is measured as 64.9 centimeters. What is this measurement in scientific notation? A.0.649 × 102 centimetersB.649 × 101 centimetersC.6.49 × 101 centimetersD.6,490 × 102 centimeters30. Which shows the expression below in simplified form?(4 × 104) × (9 × 10-2)A.3.6 × 103B.3.6 × 104C.3.6 × 102D.3.6 × 10131. Simplify: A.14B.11C.13D.1232. What is the length of the longest side of a triangle that has the vertices (-3, 1), (5, 1), and (5, 6)? A.B.C.D.33. Which of the following best describes the solution to the equation below?18x + 9 = 9x + 37A.exactly one real solution, B.exactly one real solution,C.no real solutionsD.infinite real solutions34. Note: Figure is not drawn to scale.If g = 77 cm and h = 85 cm, what is the length of f? A.36 cmB.115 cmC.33 cmD.39 cm35. Which of the following best describes the solution to the equation below?6x + 20 = -30 + 6xA.exactly one real solution, B.exactly one real solution, C.infinite real solutionsD.no real solutions36. Which of the following best describes the solution to the system of equations below?7x + 4y= 77x + 4y= 12A.The system of equations has exactly one solution where and .B.The system of equations has no solution.C.The system of equations has infinitely many solutions.D.The system of equations has exactly one solution where and .37. Line A passes through the points (-1, 1) and (4, 21). Line B passes through the points (7, -16) and (-6, 36). Find the point where line A intersects line B. A.B.C.D.38. Solve the following system of equations.8x + 5y = -1564x + y = -24A.x = -36, y = 3B.x = 12, y = -72C.x = 5, y = -39.2D.x = 3, y = -3639. Which of the following best describes the equation below?y = 9x3 + 5A.both linear and nonlinearB.nonlinearC.linearD.neither linear nor nonlinear40. Use any of the properties given above to find an expression equivalent to the one shown below.139 × 13-4A.1313B.1410C.135D.41041. Solve the following system of equations.-2x + 4y = 56x + 5y = 42A.x = -8, y = 10B.x = 2, y = 15C.x = 8, y = 6.8D.x = 10, y = -842. Line A has a slope of 4 and passes through the point (3, 18).Line B has a slope of 4 and passes through the point (5, 26).Which of the following statements is true about the system of equations represented by line A and line B? A.The system of equations has exactly one real solution.B.The system of equations has no real solutions.C.The system of equations has exactly two real solutions.D.The system of equations has an infinite number of real solutions.43. Determine which of the following are solutions to the equation below.A.B.C.D.44577002590800044. The following system of equations is graphed below. Find the solution to the system.A.x = -2, y = -2B.x = -2, y = 1C.x = 0, y = -2D.x = 1, y = -245. Order the following numbers from least to greatest.A.B.C.D.46. A small college opened in 1999. In the linear model below, x represents the number of years after 1999, and y represents the student population. Interpret the slope.y = 576 + 173xA.An additional year of the college being open is associated with an additional 749 students.B.An additional year of the college being open is associated with an additional 576 students.C.An additional year of the college being open is associated with an additional 403 students.D.An additional year of the college being open is associated with an additional 173 students.47. Which of the following best describes the ordered pairs listed below?(-4, 3), (2, -3), (6, -7), (10, -11)A.relation onlyB.neither a relation nor a functionC.function onlyD.both a relation and a function48. Order the following numbers from greatest to least.A.B.C.D.49. Solve for x.A.D.C.B.39395404495800050. Over the summer, the facility manager of a public swimming pool collected information on the amount of water in the pool and the number of swimmers. The results are shown in the scatter plot below.Which statement is supported by the data in the scatter plot? A.There is no relationship between the number of swimmers and the amount of water in the pool.B.As the number of swimmers increases, the amount of water in the pool tends to decrease.C.As the number of swimmers increases, the amount of water in the pool tends to stay the same.D.As the number of swimmers increases, the amount of water in the pool tends to increase.51. Which shows the expression below in simplified form?(2 × 106) ÷ (4 × 102)A.5 × 104B.5 × 105C.5 × 102D.5 × 10352. What is the approximate value of ? A.4.2426...B.3.3166...C.4.7958...D.3.7416...39319201600200053. Which of the following statements correctly describes the items shown below?A.The items have different rates of change, and item I is steeper.B.The items have different rates of change but have the same steepness.C.The items have different rates of change, and item II is steeper.D.The items have the same rate of change and have the same steepness.54. Which of the following is a rational number? A.B.C.D.44577005918200055. Daniel is planning to go camping, but he lost the pole that supports the middle point of the tent. A cross-section of the tent is shown below. The base of the tent measures 80 inches wide, and the length from the top point of the tent to the corners of the base is 85 inches.Note: Figure is not drawn to scale.What is the length of the pole that Daniel needs to support the middle of the tent? A.75 inchesB.60 inchesC.80 inchesD.150 inches56. Which of the following best describes the equation below?y = 3x + 6A.nonlinearB.both linear and nonlinearC.neither linear nor nonlinearD.linear57. Tabitha is renting a ballroom for an upcoming dinner reception. The rental fee for the ballroom includes a base price plus the cost of dinner per person. The table below shows the cost of the ballroom rental in relation to the number of people attending the dinner reception.No. of Attendees204060Total Rental Cost$460$640$820What is the base price for the ballroom rental? A.$180B.$56C.$9D.$28058. Which of the following relations is a function? A.(0, 4), (-1, 2), (8, 1), (-8, 2)B.(8, 1), (-1, 4), (0, 1), (8, 2)C.(0, 4), (-1, 6), (0, 3), (-8, 2)D.(0, 0), (-1, 3), (8, 1), (-1, 5)Answers1. D 2. A 3. B 4. B 5. D 6. A 7. D 8. B 9. B 10. D 11. D 12. C 13. B 14. D 15. C 16. B 17. C 18. A 19. B 20. A 21. A 22. C 23. C 24. A 25. C 26. C 27. D 28. C 29. C 30. A 31. D 32. D 33. B 34. A 35. D 36. B 37. D 38. D 39. B 40. C 41. A 42. D 43. D 44. D 45. B 46. D 47. D 48. A 49. A 50. C 51. D 52. A 53. A 54. A 55. A 56. D 57. D 58. A ................
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